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Journal articles on the topic 'Optimal discrete-time sliding mode'

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Author: Grafiati

Published: 6 September 2023

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1

Koshkouei, A. Jafari, and A. S. I. Zinober. "Sliding Mode Control of Discrete-Time Systems." Journal of Dynamic Systems, Measurement, and Control 122, no. 4 (February 9, 2000): 793–802. http://dx.doi.org/10.1115/1.1321266.

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In discrete-time systems, instead of having a hyperplane as in the continuous case, there is a countable set of points comprising a so-called lattice; and the surface on which these sliding points lie is the latticewise hyperplane. In this paper the concept of multivariable discrete-time sliding mode is clarified and new sufficient conditions for the existence of the sliding mode are presented. A new control design using the properties of discrete sliding is proposed, and the behavior of the system in the sliding mode is studied. Furthermore, the stabilization of discrete-time systems and an optimal sliding lattice are considered. [S0022-0434(00)02804-5]

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2

Bayindir, M. I., H. Can, Z. H. Akpolat, M. Ozdemir, and E. Akin. "Robust Quasi-time-optimal Discrete-time Sliding Mode Control of a Servomechanism." Electric Power Components and Systems 35, no. 8 (August 2007): 885–905. http://dx.doi.org/10.1080/15325000701199347.

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3

Janardhanan, S., and Vinay Kariwala. "Multirate-Output-Feedback-Based LQ-Optimal Discrete-Time Sliding Mode Control." IEEE Transactions on Automatic Control 53, no. 1 (February 2008): 367–73. http://dx.doi.org/10.1109/tac.2007.914293.

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4

Jedda, Olfa, and Ali Douik. "Optimal Discrete-time Integral Sliding Mode Control for Piecewise Affine Systems." International Journal of Control, Automation and Systems 17, no. 5 (May 2019): 1221–32. http://dx.doi.org/10.1007/s12555-017-0322-9.

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5

Zhang, D. Q., and G. X. Guo. "Discrete-time sliding mode proximate time optimal seek control of hard disk drives." IEE Proceedings - Control Theory and Applications 147, no. 4 (July 1, 2000): 440–46. http://dx.doi.org/10.1049/ip-cta:20000501.

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6

Ferraço, Igor B., Marco H. Terra, and João P. Cerri. "Optimal Sliding Mode Control via Penalty Approach for Discrete-Time Linear Systems." IFAC Proceedings Volumes 44, no. 1 (January 2011): 5513–18. http://dx.doi.org/10.3182/20110828-6-it-1002.03560.

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7

Lee, Seung-Hi. "SLIDING MODE PROXIMATE TIME-OPTIMAL SERVOMECHANISM." IFAC Proceedings Volumes 38, no. 1 (2005): 301–6. http://dx.doi.org/10.3182/20050703-6-cz-1902.00450.

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8

Jedda, Olfa, and Ali Douik. "Optimal Discrete-time Sliding Mode Control for Nonlinear Systems Subject to Input Constraints." Advances in Science, Technology and Engineering Systems Journal 4, no. 4 (2019): 141–46. http://dx.doi.org/10.25046/aj040417.

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9

Ignaciuk, Przemyslaw, and Andrzej Bartoszewicz. "Linear Quadratic Optimal Discrete-Time Sliding-Mode Controller for Connection-Oriented Communication Networks." IEEE Transactions on Industrial Electronics 55, no. 11 (November 2008): 4013–21. http://dx.doi.org/10.1109/tie.2008.921464.

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10

Sun, Nana, Yugang Niu, and Bei Chen. "Optimal integral sliding mode control for a class of uncertain discrete-time systems." Optimal Control Applications and Methods 35, no. 4 (July 15, 2013): 468–78. http://dx.doi.org/10.1002/oca.2082.

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11

Wang, Xiaoli, Jie Yi, Ziyu Zhou, and Chunhua Yang. "Optimal Speed Control for a Semi-Autogenous Mill Based on Discrete Element Method." Processes 8, no. 2 (February 18, 2020): 233. http://dx.doi.org/10.3390/pr8020233.

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The rotation speed of a mill is an important factor related to its operation and grinding efficiency. Analysis and regulation of the optimal speed under different working conditions can effectively reduce energy loss, improve productivity, and extend the service life of the equipment. However, the relationship between the optimal speed and different operating parameters has not received much attention. In this study, the relationship between the optimal speed and particle size and number was investigated using discrete element method (DEM). An improved exponential approaching law sliding mode control method is proposed to track the optimal speed of the mill. Firstly, a simulation was carried out to investigate the relationship between the optimal speed and different operating parameters under cross-over testing. The model of the relationships between the optimal rotation speed and the size and number of particles was established based on the response surface method. An improved sliding mode control using exponential approaching law is proposed to track the optimal speed, and simulation results show it can improve the stability and speed of sliding mode control near the sliding surface.

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12

Liu, Zhiting, Xiaofei Pei, Zhenfu Chen, Zhou Wei, and Bo Yang. "An optimal path tracking architecture for automated vehicle." Proceedings of the Institution of Mechanical Engineers, Part D: Journal of Automobile Engineering 233, no. 9 (August 2019): 2352–61. http://dx.doi.org/10.1177/0954407019859818.

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Nowadays, automated vehicle has attracted a lot of attention with the advantages of safety, comfort, and efficiency. This paper presents a path tracking architecture synthesizing a preview feedforward controller and an adaptive sliding mode feedback controller. First, the vehicle dynamics model and the geometric relationship between the target path and vehicle are described. Then, the feedforward controller is designed based on the multipoint preview, which could reduce the interference of road curvature and time delay of vehicle actuator. Subsequently, the feedback controller utilizing adaptive discrete sliding mode is proposed considering the robustness in different conditions. It has a few control parameters, fast convergence, and small stationary error of the direction and lateral distance. Eventually, real-time simulation results show that the automated vehicle could track the target path accurately under varying time delay, vehicle speed, and road adhesion. Furthermore, vehicle experiment results verify the effectiveness of path tracking.

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13

Ji Young Jeong, Choong Woo Lee, Chung Choo Chung, and Young-Sik Kim. "A Discrete-Time Modified Sliding Mode Proximate Time-Optimal Servomechanism for Scanning-Probe-Microscope-Based Data Storage." IEEE Transactions on Magnetics 44, no. 11 (November 2008): 3750–53. http://dx.doi.org/10.1109/tmag.2008.2002363.

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14

Xiong, Yongyang, Liu Yang, Chengwei Wu, and Ligang Wu. "Optimal event-triggered sliding mode control for discrete-time non-linear systems against actuator saturation." IET Control Theory & Applications 13, no. 16 (November 5, 2019): 2638–47. http://dx.doi.org/10.1049/iet-cta.2018.6256.

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15

Wang, Rongrong, Yangchun Wei, and Ronghu Chi. "Enhanced data-driven optimal iterative learning control for nonlinear non-affine discrete-time systems with iterative sliding-mode surface." Transactions of the Institute of Measurement and Control 42, no. 11 (January 28, 2020): 1923–34. http://dx.doi.org/10.1177/0142331219900593.

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In this work, an enhanced data-driven optimal iterative learning control (eDDOILC) is proposed for nonlinear nonaffine systems where a new iterative sliding mode surface (ISMS) is designed to replace the traditional tracking error in the controller design and analysis. It is the first time to extend the sliding mode surface to the iteration domain for systems operate repetitively over a finite time interval. By virtual of the new designed ISMS, the control design becomes more flexible where both the time and the iteration dynamics can be taken into account. Before proceeding to the controller design, an iterative dynamic linear data model is built between two consecutive iterations to formulate the linear input-output data relationship of the repetitive nonlinear nonaffine discrete-time system. The linear data model is virtual and does not have any physical meanings, which is very different to the traditional mechanism mathematical model. In the sequel, the eDDOILC is proposed by designing an objective function with respect to the proposed two-dimensional ISMS. Rigorous proof is provided to show the convergence of the proposed eDDOILC method. Furthermore, the results have been extended to a multiple-input multiple-output (MIMO) nonaffine nonlinear discrete-time repetitive system. In general, the proposed eDDOILC is data-driven where no explicit model information is included. It is illustrated that the presented eDDOILC is effective when applied to the nonlinear nonaffine uncertain systems.

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16

Qu, Shaocheng, Liang Zhao, Yao Chen, and Wenqi Mao. "A discrete-time sliding mode congestion controller for wireless sensor networks." Optik 225 (January 2021): 165727. http://dx.doi.org/10.1016/j.ijleo.2020.165727.

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17

Kong, Huifang, and Yao Fang. "Neural Network PID Algorithm for a Class of Discrete-Time Nonlinear Systems." International Journal of Online Engineering (iJOE) 14, no. 02 (February 28, 2018): 103. http://dx.doi.org/10.3991/ijoe.v14i02.7914.

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<p class="0abstract"><span lang="EN-US">The control of nonlinear system is the hotspot in the control field. The paper proposes an algorithm to solve the tracking and robustness problem for the discrete-time nonlinear system. The completed control algorithm contains three parts. First, the dynamic linearization model of nonlinear system is designed based on Model Free Adaptive Control, whose model parameters are calculated by the input and output data</span><span lang="EN-US"> of system</span><span lang="EN-US">. Second, the model error is estimated using the Quasi-sliding mode control algorithm</span><span lang="EN-US">, hence, the whole model of system is estimated</span><span lang="EN-US">. Finally, the neural network </span><span lang="EN-US">PID </span><span lang="EN-US">controller is designed to get the optimal control law. The convergence and BIBO stability of the control system is proved by the Lyapunov function. The simulation results </span><span lang="EN-US">in</span><span lang="EN-US"> the </span><span lang="EN-US">linear and </span><span lang="EN-US">nonlinear system validate the effectiveness and robustness of the algorithm.</span><span lang="EN-US"> The robustness </span><span lang="EN-US">effort </span><span lang="EN-US">of </span><span lang="EN-US">Quasi-sliding mode control algorithm</span><span lang="EN-US"> in nonlinear system is also verified in the paper.</span></p>

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18

Song, Chonghui. "Optimal Control Algorithm of Constrained Fuzzy System Integrating Sliding Mode Control and Model Predictive Control." Mathematical Problems in Engineering 2015 (2015): 1–13. http://dx.doi.org/10.1155/2015/897853.

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The sliding mode control and the model predictive control are connected by the value function of the optimal control problem for constrained fuzzy system. New conditions for the existence and stability of a sliding mode are proposed. Those conditions are more general conditions for the existence and stability of a sliding mode. When it is applied to the controller design, the design procedures are different from other sliding mode control (SMC) methods in that only the decay rate of the sliding mode motion is specified. The obtained controllers are state-feedback model predictive control (MPC) and also SMC. From the viewpoint of SMC, sliding mode surface does not need to be specified previously and the sliding mode reaching conditions are not necessary in the controller design. From the viewpoint of MPC, the finite time horizon is extended to the infinite time horizon. The difference with other MPC schemes is that the dependence on the feasibility of the initial point is canceled and the control schemes can be implemented in real time. Pseudosliding mode model predictive controllers are also provided. Closed loop systems are proven to be asymptotically stable. Simulation examples are provided to demonstrate proposed methods.

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19

Yang, Yang, Zhiqiang Long, and Yunde Xie. "An Improved Sliding Mode Control via Discrete Time Optimal Control and its Application to Magnetic Suspension System." IEEE Access 8 (2020): 185584–94. http://dx.doi.org/10.1109/access.2020.3029806.

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20

Bartoszewicz, Andrzej, and Piotr Leśniewski. "An optimal sliding mode congestion controller for connection-oriented communication networks with lossy links." International Journal of Applied Mathematics and Computer Science 24, no. 1 (March 1, 2014): 87–97. http://dx.doi.org/10.2478/amcs-2014-0007.

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Abstract A new discrete-time sliding-mode congestion controller for connection-oriented networks is proposed. Packet losses which may occur during the transmission process are explicitly taken into account. Two control laws are presented, each obtained by minimizing a different cost functional. The first one concentrates on the output variable, whereas in the second one the whole state vector is considered. Weighting factors for adjusting the influence of the control signal and appropriate (state or output) errors are incorporated in both the functionals. The asymptotic stability of the closed-loop system is proved, and the conditions for 100% bottleneck node bandwidth utilization are derived. The performance of the proposed algorithm is verified by computer simulations.

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21

Zhang, Hu, and Wu Wang. "Global Fast Terminal Sliding Mode Control for Wind Energy Conversion System." Advanced Materials Research 463-464 (February 2012): 1616–20. http://dx.doi.org/10.4028/www.scientific.net/amr.463-464.1616.

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As for traditional sliding mode control (SMC) with linear sliding surface and the tracking error can’t convergent to zero in finite time, fast terminal sliding mode control (FTSMC) designed with introduction nonlinear function into sliding hyper-plane, which makes tracking error converge to zero in finite time. A global fast terminal sliding mode control (GFTSMC) was designed with SMC and FTSMC, the sliding surface of GFTSMC was designed and the control law was deduced, also the convergence time was computed and stability proved by Lyapunov theory. With simulation, the optimal sliding mode parameters was selected and applied this control strategy for wind energy conversion system (WECS), the simulation result shows this control system can realize optimal power tracking control for wind energy conversion system.

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22

Song, Bo, and Jian-Qiao Sun. "Sliding mode control of uncertain dynamical systems with time delay using the continuous time approximation method." Journal of Vibration and Control 18, no. 9 (September 29, 2011): 1254–60. http://dx.doi.org/10.1177/1077546311421795.

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A study of sliding mode control of uncertain dynamical systems with time delay is presented in this paper. The systems are assumed to have constant delay time and uncertain parameters with known upper and lower bounds. The method of continuous time approximation is applied to formulate the sliding mode control problem. The proposed treatment of the control delay leads to a higher-order control formulation for a system with additive uncertainties only. An optimal sliding surface is designed such that on the sliding surface, the controlled state variables act like a feedback control to the uncontrolled state variables. Examples of non-linear systems are presented to demonstrate the theoretical work.

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23

Shih-Liang Jung and Ying-Yu Tzou. "Discrete sliding-mode control of a PWM inverter for sinusoidal output waveform synthesis with optimal sliding curve." IEEE Transactions on Power Electronics 11, no. 4 (July 1996): 567–77. http://dx.doi.org/10.1109/63.506122.

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24

Jafarian, M. J., and J. Nazarzadeh. "Time-optimal sliding-mode control for multi-quadrant buck converters." IET Power Electronics 4, no. 1 (2011): 143. http://dx.doi.org/10.1049/iet-pel.2009.0316.

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25

Tang, Gong-You, Rui Dong, and Hong-Wei Gao. "Optimal sliding mode control for nonlinear systems with time-delay." Nonlinear Analysis: Hybrid Systems 2, no. 3 (August 2008): 891–99. http://dx.doi.org/10.1016/j.nahs.2008.02.003.

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26

Yan, Jian-De, Fan Peng, and Wei-Cai Xie. "Optimal Sliding Mode Preview Repetitive Control for Three-Phase Z-Source Inverters." Mathematical Problems in Engineering 2022 (September 13, 2022): 1–12. http://dx.doi.org/10.1155/2022/9660028.

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Aiming at high output voltage and obvious current fluctuation of the off grids inverters with unbalanced and nonlinear loads, a compound control strategy of sliding mode controller and optimal preview controller based on Z-source inverter (ZSI) is proposed. ZSI can boost the pressure and improve the system energy conversion rate through by combining the state with the linear quadratic design method of optimal control. The preview controller is introduced in the feedforward compensation link. With the help of difference operator, an extended state error system covering the target value signal and lag link feedback is designed. The optimal preview repetitive control (PRC) is transformed into a linear quadratic regulation matter of the discrete systems. Furthermore, a preview repetitive controller is obtained by using the Lyapunov method, linear matrix inequality, and the design method of optimal controller, which can realize sliding mode control, state feedback, repetitive control, and preview compensation. Finally, a 10 kV A prototype is built to verify the effectiveness of the proposed strategy.

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27

Luo, Le, and Ming-Zhong Yang. "Switching Power Supply Control Strategy Based on Monitoring Configuration." Journal of Nanoelectronics and Optoelectronics 16, no. 5 (May 1, 2021): 766–72. http://dx.doi.org/10.1166/jno.2021.2993.

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In this paper, a new discrete-time sliding mode predictive control (DSMPC) strategy with a PID sliding function is proposed for synchronous DC-DC Buck converter. The model predictive control, along with digital sliding mode control (DSMC) is able to further reducing the chattering phenomenon, steady-state error, overshoot, and undershoot of the converter output voltage. The proposed control method implementation only requires output error voltage evaluation. The effectiveness of the proposed DSMPC is proved through simulation results executed by the MATLAB/SIMULINK software. These results demonstrate its performance is superior to DSMC. The selected synchronous Buck converter in this paper has 380 V input voltage and 48 V output voltage that can be applied in sections of DC distribution systems.

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28

Taheri, Asghar, Amir Ghasemian, and Hai-Peng Ren. "Boost Converters’ Proximate Constrained Time-Optimal Sliding Mode Control Based on Hybrid Switching Model." Complexity 2019 (October 27, 2019): 1–14. http://dx.doi.org/10.1155/2019/5834741.

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It is well known in the literature studies that the theoretical time-optimal control of boost converters can be achieved using switching surfaces based on the converter’s natural state trajectories. However, this method has two important drawbacks: First, the transient current peak of the time-optimal controller is far beyond the current limitations of related circuit elements in many practical cases. Second, switching based on the converter’s natural trajectories has high computational complexity and high dependence on circuit parameters. In this paper, based on the hybrid dynamical model of the converter and geometrical representation of its corresponding vector fields, a proximate constrained time-optimal sliding mode controller is proposed. The proposed method has a fast response that is near that of a time-optimal controller, with less computational complexity and sensitivity to parameter changes. The proposed method and its relevant theoretical framework are validated on an experimental setup with a boost converter prototype and an eZdsp TMS320F2812 processor board.

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29

Basin, M., J. Rodrigez Gonzalez, and L. Fridman. "Robust Optimal Sliding Mode Control for Systems with Input Time Delay." IFAC Proceedings Volumes 36, no. 11 (June 2003): 151–56. http://dx.doi.org/10.1016/s1474-6670(17)35655-0.

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30

Lee, Seung-Hi, Chung Choo Chung, and Hyun Jae Kang. "Analysis of sliding mode proximate time-optimal disk drive servo control." Microsystem Technologies 17, no. 5-7 (May 2, 2011): 1083–90. http://dx.doi.org/10.1007/s00542-011-1298-7.

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31

Zhou, J., G. Guo, Y. Wang, and R. Zhou. "Improved proximate time-optimal sliding-mode control of hard disk drives." IEE Proceedings - Control Theory and Applications 148, no. 6 (November 1, 2001): 516–22. http://dx.doi.org/10.1049/ip-cta:20010694.

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32

Pukdeboon, Chutiphon. "Optimal Sliding Mode Controllers for Attitude Stabilization of Flexible Spacecraft." Mathematical Problems in Engineering 2011 (2011): 1–20. http://dx.doi.org/10.1155/2011/863092.

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The robust optimal attitude control problem for a flexible spacecraft is considered. Two optimal sliding mode control laws that ensure the exponential convergence of the attitude control system are developed. Integral sliding mode control (ISMC) is applied to combine the first-order sliding mode with optimal control and is used to control quaternion-based spacecraft attitude manoeuvres with external disturbances and an uncertainty inertia matrix. For the optimal control part the state-dependent Riccati equation (SDRE) and optimal Lyapunov techniques are employed to solve the infinite-time nonlinear optimal control problem. The second method of Lyapunov is used to guarantee the stability of the attitude control system under the action of the proposed control laws. An example of multiaxial attitude manoeuvres is presented and simulation results are included to verify the usefulness of the developed controllers.

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33

Romdhane, Houda, Khadija Dehri, and Ahmed Said Nouri. "Discrete second-order sliding mode control based on optimal sliding function vector for multivariable systems with input-output representation." International Journal of Robust and Nonlinear Control 26, no. 17 (March 7, 2016): 3806–30. http://dx.doi.org/10.1002/rnc.3536.

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34

Fang, Yunmei, Yun Chen, and Juntao Fei. "Finite-Time Disturbance Observer of Nonlinear Systems." Symmetry 14, no. 8 (August 16, 2022): 1704. http://dx.doi.org/10.3390/sym14081704.

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In practical applications, for highly nonlinear systems, how to implement control tasks for dynamic systems with uncertain parameters is still a hot research issue. Aiming at the internal parameter fluctuations and external unknown disturbances in nonlinear system, this paper proposes an adaptive dynamic terminal sliding mode control (ADTSMC) based on a finite-time disturbance observer (FTDO) for nonlinear systems. A finite-time disturbance observer is designed to compensate for the unknown uncertainties and a dynamic terminal sliding mode control (DTSMC) method is developed to achieve finite time convergence and weaken system chattering. Moreover, a dual hidden layer recurrent neural network (DHLRNN) estimator is proposed to approximate the sliding mode gain, so that the switching item gain is not overestimated and optimal value is obtained. Finally, simulation experiments of an active power filter model verify the designed ADTSMC method has better steady-state and dynamic-steady compensation effects with at least 1% THD reduction in the presence of nonlinear load and disturbances compared with the simple adaptive DTSMC law.

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35

Benamor, Anouar, Wafa Boukadida, and Hassani Messaoud. "Genetic algorithm-based multi-objective design of optimal discrete sliding mode approach for trajectory tracking of nonlinear systems." Proceedings of the Institution of Mechanical Engineers, Part C: Journal of Mechanical Engineering Science 233, no. 15 (April 11, 2019): 5237–52. http://dx.doi.org/10.1177/0954406219841076.

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In this paper, a novel multi-objective design of optimal control for robotic manipulators is considered. Generally, robots are known by their highly nonlinearities, unmodeled dynamics, and uncertainties. In order to design an optimal control law, based on the linear quadratic regulator, the robotic system is described as a linear time varying model. The compensation of both disturbances and uncertainties is ensured by the integral sliding mode control. The problem of deciding the optimal configuration of the linear quadratic regulator controller is considered as an optimization problem, which can be solved by the application of genetic algorithm. The main contribution of this paper is to consider a multi-objective optimization problem, which aims to minimize not only the chattering phenomenon but also other control performances including the rise time, the settling-time, the steady-state error and the overshoot. For that, a novel dynamically aggregated objective function is proposed. As a result, a set of nondominated optimal solutions are provided to the designer and then he selects the most preferable alternative. To demonstrate the efficacy and to show complete performance of the new controller, two nonlinear systems are treated in this paper: firstly, a selective compliance assembly robot arm robot is considered. The results show that the manipulator tracing performance is considerably improved with the proposed control scheme. Secondly, the proposed genetic algorithm-based linear quadratic regulator control strategy is applied for pitch and yaw axes control of two-degrees-of-freedom laboratory helicopter workstation, which is a highly nonlinear and unstable system. Experimental results substantiate that the weights optimized using genetic algorithm, result in not only reduced tracking error but also improved tracking response with reduced oscillations.

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36

Marinoschi, Gabriela. "Minimal time sliding mode control for evolution equations in Hilbert spaces." ESAIM: Control, Optimisation and Calculus of Variations 26 (2020): 46. http://dx.doi.org/10.1051/cocv/2019065.

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This work is concerned with the time optimal control problem for evolution equations in Hilbert spaces. The attention is focused on the maximum principle for the time optimal controllers having the dimension smaller that of the state system, in particular for minimal time sliding mode controllers, which is one of the novelties of this paper. We provide the characterization of the controllers by the optimality conditions determined for some general cases. The proofs rely on a set of hypotheses meant to cover a large class of applications. Examples of control problems governed by parabolic equations with potential and drift terms, porous media equation or reaction-diffusion systems with linear and nonlinear perturbations, describing real world processes, are presented at the end.

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37

Huang, Zhiwu, Wei Du, Bin Chen, Kai Gao, Yongjie Liu, Xuanheng Tang, and Yingze Yang. "An Online Super-Twisting Sliding Mode Anti-Slip Control Strategy." Energies 13, no. 7 (April 9, 2020): 1823. http://dx.doi.org/10.3390/en13071823.

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The variability of rail surfaces can result in wheel–rail slippage, which reduces the accuracy of subway braking systems, or even endangers the operation safety. It is necessary to conduct optimal anti-slip control with the estimation of the wheel–rail adhesion state. In this paper, an online super-twisting sliding mode anti-slip control strategy is proposed for subway vehicles. Firstly, real-time wheel–rail adhesion state estimation is performed by utilizing the recursive least squares algorithm under complex and variable rail surface conditions. Then, the differential evolution algorithm is adopted to search the current optimal slip velocity based on the wheel–rail adhesion state. The super-twisting sliding mode controller is designed to implement the optimal sliding velocity tracking. The controller exploits the high-order derivatives of the sliding mode to eliminate chatter vibration and avoid the effect of disturbance, improving the anti-slip control performance. Finally, the effectiveness of the proposed anti-slip strategy is verified by experimental results.

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38

Newman, W. S., and K. Souccar. "Robust, Near Time-Optimal Control of Nonlinear Second-Order Systems: Theory and Experiments." Journal of Dynamic Systems, Measurement, and Control 113, no. 3 (September 1, 1991): 363–70. http://dx.doi.org/10.1115/1.2896419.

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A technique is presented for controlling second-order, nonlinear systems using a combination of bang-bang time-optimal control, sliding-mode control, and feedback linearization. Within the control loop, a state space evaluation of the system classifies the instantaneous dynamics into one of three regions, and one of three corresponding control algorithms is invoked. Using a prescribed generation of desirable sliding surfaces, the resulting combined controller produces nearly time-optimal performance. The combination controller is provably stable in the presence of model uncertainty. Experimental data are presented for the control of a General Electric GP132 industrial robot. The method is shown to achieve nearly time-optimal motion that is robust to modeling uncertainties. Representative transients compare favorably to bang-bang control and PD control.

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39

Brégeault, V., and F. Plestan. "High order sliding mode control based on a time optimal control scheme." IFAC Proceedings Volumes 42, no. 6 (2009): 190–95. http://dx.doi.org/10.3182/20090616-3-il-2002.00033.

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40

Chatchanayuenyong, Theerayuth, and Manukid Parnichkun. "Time Optimal Hybrid Sliding Mode-PI Control for an Autonomous Underwater Robot." International Journal of Advanced Robotic Systems 5, no. 1 (January 2008): 10. http://dx.doi.org/10.5772/5655.

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41

Tang, Gong-You, Shan-Shan Lu, and Rui Dong. "Optimal sliding mode control for linear time-delay systems with sinusoidal disturbances." Journal of Sound and Vibration 304, no. 1-2 (July 2007): 263–71. http://dx.doi.org/10.1016/j.jsv.2007.03.006.

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42

Pietrala, Mateusz, Piotr Leśniewski, and Andrzej Bartoszewicz. "An ITAE Optimal Sliding Mode Controller for Systems with Control Signal and Velocity Limitations." Acta Mechanica et Automatica 17, no. 2 (April 25, 2023): 230–38. http://dx.doi.org/10.2478/ama-2023-0026.

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Abstract In this paper, a sliding mode controller, which can be applied for second-order systems, is designed. Robustness to external disturbances, finite regulation time and a good system’s behaviour are required for a sliding mode controller. In order to achieve the first two of these three goals, a non-linear, time-varying switching curve is introduced. The representative point (state vector) belongs to this line from the very beginning of the control process, which results in elimination of the reaching phase. The stable sliding motion along the switching curve is provided. Natural limitations such as control signal and system’s velocity constraints will be taken into account. In order to satisfy them, the sliding line parameters will be properly selected. However, a good dynamical behaviour of the system has to be provided. In order to achieve that, the integral time absolute error (ITAE) quality index will be introduced and minimised. The simulation example will verify theoretical considerations.

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Ali, Naghmash, Zhizhen Liu, Yanjin Hou, Hammad Armghan, Xiaozhao Wei, and Ammar Armghan. "LCC-S Based Discrete Fast Terminal Sliding Mode Controller for Efficient Charging through Wireless Power Transfer." Energies 13, no. 6 (March 16, 2020): 1370. http://dx.doi.org/10.3390/en13061370.

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Compared to the plug-in charging system, Wireless power transfer (WPT) is simpler, reliable, and user-friendly. Resonant inductive coupling based WPT is the technology that promises to replace the plug-in charging system. It is desired that the WPT system should provide regulated current and power with high efficiency. Due to the instability in the connected load, the system output current, power, and efficiency vary. To solve this issue, a buck converter is implemented on the secondary side of the WPT system, which adjusts its internal resistance by altering its duty cycle. To control the duty cycle of the buck converter, a discrete fast terminal sliding mode controller is proposed to regulate the system output current and power with optimal efficiency. The proposed WPT system uses the LCC-S compensation topology to ensure a constant output voltage at the input of the buck converter. The LCC-S topology is analyzed using the two-port network theory, and governing equations are derived to achieve the maximum efficiency point. Based on the analysis, the proposed controller is used to track the maximum efficiency point by tracking an optimal power point. An ultra-capacitor is connected as the system load, and based on its charging characteristics, an optimal charging strategy is devised. The performance of the proposed system is tested under the MATLAB/Simulink platform. Comparison with the conventionally used PID and sliding mode controller under sudden variations in the connected load is presented and discussed. An experimental prototype is built to validate the effectiveness of the proposed controller.

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Boonyaprapasorn, Arsit, Suwat Kuntanapreeda, Parinya Sa Ngiamsunthorn, Tinnakorn Kumsaen, and Thunyaseth Sethaput. "Time-varying sliding mode controller for heat exchanger with dragonfly algorithm." International Journal of Electrical and Computer Engineering (IJECE) 13, no. 4 (August 1, 2023): 3958. http://dx.doi.org/10.11591/ijece.v13i4.pp3958-3968.

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<span lang="EN-US">This article proposes the design of a sliding mode controller with a time-varying sliding surface for the plate heat exchanger. A time-varying sliding mode controller (TVSMC) combines the benefit of the control system’s robustness and convergence rate. Using Lyapunov stability theory, the stability of the designed controller is proved. In addition, the controller parameters of the designed controller are specified optimally via the dragonfly algorithm (DA). The input constraint’s effect is considered in the controller design process by applying the concept of the auxiliary system. The bounded disturbances are applied to investigate the robustness of the proposed techniques. Moreover, the quasi-sliding mode controller (QSMC) is developed as a benchmark to evaluate the convergence behavior of the proposed TVSMC technique. The simulation results demonstrate the proposed TVSMC with the optimal parameters provided by the DA algorithm (TVSMC+DA) can regulate the temperature to the desired level under bounded disturbances. When compared to the QSMC method, the TVSMC+DA performs significantly faster convergence speed and greater reduction in chattering occurrence. The results clearly indicate that the proposed controller can enhance convergence properties while being robust to disturbances.</span>

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Zhang, Yu, Shousheng Xie, Ledi Zhang, and Litong Ren. "Robust Sliding Mode Predictive Control of Uncertain Networked Control System with Random Time Delay." Discrete Dynamics in Nature and Society 2018 (July 19, 2018): 1–11. http://dx.doi.org/10.1155/2018/6959250.

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This paper proposes a sliding mode predictive controller with a new robust global sliding surface for a certain networked control system with random time delay, mismatched parametric uncertainty, and external disturbances. First, the model of the networked control system is established, based on which linear transformation is made to get a new form of the system which does not have time delay term in expression. Then a global sliding surface is proposed followed by the sufficient condition given in the form of linear matrix inequality (LMI) to guarantee system stability and robustness. Subsequently, a sliding mode predictive controller is proposed with modified reaching law as its reference trajectory and the rolling optimization method is combined to provide optimal control input for each step so that chattering can be minimized. Finally, simulations have been made and the results indicate the advantages of the proposed controller in the aspect of convergence speed, chattering suppression, and robustness to uncertainties.

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Kim, Hongrae, Joonil Park, Young-Keun Chang, and Soo-Ho Lee. "Optimal Attitude Maneuvering Analyses for Imaging at Squint Staring and Sliding Spotlight Modes of SAR Satellite." Aerospace 8, no. 10 (September 24, 2021): 277. http://dx.doi.org/10.3390/aerospace8100277.

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In this study, we analyzed the imaging maneuver time, retargeting maneuver time, and attitude maneuvering characteristics in the imaging section (Phase 1) and retargeting maneuver section (Phase 2) when taking multiple-target images in squint spotlight mode in a single pass of a passive SAR satellite. In particular, the synthetic aperture time and attitude maneuvering characteristics in the staring and sliding spotlight modes that can image the wider swath width while maintaining high resolution were compared and analyzed. In the sliding spotlight mode, the rotation center was located below the ground surface when the satellite was maneuvering towards the target. Steering and sliding maneuvers were performed when targeting, and the synthetic aperture time of the sliding spotlight was longer than that of the staring spotlight because overlapping imaging was performed on the point target. The satellite maneuvering during imaging can be considered as a time-fixed problem, because it was performed within synthetic aperture time according to resolution, incidence angle, swath width, etc., by minimizing the Doppler centroid variation. In order to optimize the retargeting maneuver time, an optimal analysis of the attitude maneuvering was carried out and the validity of the optimal analysis algorithm was confirmed. Finally, the scenario was analyzed by assuming a problem of imaging four targets with 5 × 5 km swath width in a 20 km × 20 km densely populated area. It was confirmed that if a squint angle of ±12 degrees is provided in a single pass, four high resolution images of 5 km × 5 km can be imaged in the sliding spotlight mode.

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van Niekerk, J. L., and B. H. Tongue. "Active Control of a Circular Membrane to Reduce Transient Noise Transmission." Journal of Vibration and Acoustics 117, no. 3A (July 1, 1995): 252–58. http://dx.doi.org/10.1115/1.2874444.

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An active control approach that reduces transient noise transmission through a membrane in a circular duct is presented. Discrete sections of piezo-electrical film, PVDF, are used as actuators to adjust the tension of the membrane. Different control strategies, such as optimal, sliding mode and velocity feedback control, are investigated analytically and then implemented experimentally. It is shown that velocity feedback control is the more effective, stable controller for this application.

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Gao, Cun Chen, Nan Xiang, and Yun Long Liu. "Optimal Sliding Mode Control for Linear Singualr System with Input and State Time-Delays." Advanced Materials Research 317-319 (August 2011): 708–12. http://dx.doi.org/10.4028/www.scientific.net/amr.317-319.708.

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Synthetic problem of variable structure control (VSC) for linear singular system with input and state time-delays is studied. Firstly, the original system with both input and state time-delays is written into a form without time-delay by a linear transformation. Secondly, the system without time-delay is decomposed into two low dimensional subsystems by a restricted system equivalent decomposed method. Thirdly, the quadratic performance index optimal control technique is introduced to design the optimal sliding mode for the restricted equivalent subsystems. By applying reaching law approach, the selected control law ensures that the solution trajectories of the system reach the switching manifold in finite time and have low chattering in the sliding motion. Finally, a simulation example is given to illustrate the feasibility and validity of the proposed method.

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Sun, Shengxin, Yang Zhao, and Hao Wu. "Optimal Adaptive Control and Backstepping Control Method with Sliding Mode Differentiator." Complexity 2021 (July 15, 2021): 1–15. http://dx.doi.org/10.1155/2021/9936224.

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In order to improve the success rate of space debris object capture, how to increase the resistance to interference in the space robot arm has become an issue of interest. In addition, since the space operation time is always limited, finite-time control has become another urgent requirement needed to be addressed. Considering external disturbances, two control methods are proposed in this paper to solve the control problem of space robot arm. Firstly, a linear sliding mode control method is proposed considering the model uncertainties and external disturbances. The robot arm can track the desired trajectory, while a trade-off between optimality and robustness of the solved system can be achieved. Then, in order to reduce conservativeness and relax restrictions on external disturbances, a novel backstepping control method based on a finite-time integral sliding mode disturbance observer is developed, which compensates for the effects of both model uncertainties and infinite energy-based disturbance inputs. Finally, simulation examples are given to illustrate the effectiveness of the proposed control method.

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Jin, Yongze, Guo Xie, Pang Chen, Xinhong Hei, Wenjiang Ji, and Jinwei Zhao. "High-Speed Train Emergency Brake Modeling and Online Identification of Time-Varying Parameters." Mathematical Problems in Engineering 2020 (June 15, 2020): 1–13. http://dx.doi.org/10.1155/2020/3872852.

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By analyzing the mechanism of pure air emergency brake for high-speed train, the discrete emergency brake model is established. Aiming at the problem that time-varying hidden parameters cannot be observed directly, the sliding window-based expectation maximization is proposed, and the unobserved time-varying brake parameters are identified. Firstly, the position and size of the sliding window are selected; then, the sliding window-based expectation maximization is used for brake parameter identification; finally, combined with the gradient optimization, the optimal identifications of emergency brake parameters are obtained. The simulation results show that the brake parameters can be identified quickly and accurately by the proposed method. Under uniform noise, the identification errors of friction coefficient and braking ratio are ±0.0068 and ±0.0349, respectively, and the maximum relative errors between the identifications and true values are 2.4807% and 1.3154%, respectively, which can meet the actual requirements of the brake system. The effectiveness and practicability of the proposed model and method are verified.

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