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Journal articles on the topic 'Fixed-time control'

Author: Grafiati

Published: 6 September 2023

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1

Muralidharan, Ajith, Ramtin Pedarsani, and Pravin Varaiya. "Analysis of fixed-time control." Transportation Research Part B: Methodological 73 (March 2015): 81–90. http://dx.doi.org/10.1016/j.trb.2014.12.002.

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2

HAYASHI, Takuya, and Hisakazu NAKAMURA. "Fixed-time Control Using Locally Semiconcave Control Lyapunov Function." Transactions of the Society of Instrument and Control Engineers 57, no. 11 (2021): 478–87. http://dx.doi.org/10.9746/sicetr.57.478.

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3

Li, Huijie, and Yuanli Cai. "On SFTSM control with fixed-time convergence." IET Control Theory & Applications 11, no. 6 (April 14, 2017): 766–73. http://dx.doi.org/10.1049/iet-cta.2016.1457.

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4

Wang, Huanqing, Hanxue Yue, Siwen Liu, and Tieshan Li. "Adaptive fixed-time control for Lorenz systems." Nonlinear Dynamics 102, no. 4 (November 14, 2020): 2617–25. http://dx.doi.org/10.1007/s11071-020-06061-z.

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5

Mercado-Uribe, Angel, and Jaime A. Moreno. "Fixed-Time Homogeneous Integral Controller." IFAC-PapersOnLine 51, no. 25 (2018): 377–82. http://dx.doi.org/10.1016/j.ifacol.2018.11.136.

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6

Moulay, Emmanuel, Vincent Léchappé, Emmanuel Bernuau, Michael Defoort, and Franck Plestan. "Fixed-time sliding mode control with mismatched disturbances." Automatica 136 (February 2022): 110009. http://dx.doi.org/10.1016/j.automatica.2021.110009.

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7

Wang, Zeng, Yuxin Su, and Liyin Zhang. "Fixed-time attitude tracking control for rigid spacecraft." IET Control Theory & Applications 14, no. 5 (March 26, 2020): 790–99. http://dx.doi.org/10.1049/iet-cta.2019.0623.

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8

Lopez, Anthony, Wenlong Jin, and Mohammad Abdullah Al Faruque. "Security analysis for fixed-time traffic control systems." Transportation Research Part B: Methodological 139 (September 2020): 473–95. http://dx.doi.org/10.1016/j.trb.2020.07.002.

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9

Liu, Xinggui, and Xiaofeng Liao. "Fixed-time stabilization control for port-Hamiltonian systems." Nonlinear Dynamics 96, no. 2 (April 2019): 1497–509. http://dx.doi.org/10.1007/s11071-019-04867-0.

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10

Zou, An-Min, Krishna Dev Kumar, and Anton H. J. de Ruiter. "Fixed-time attitude tracking control for rigid spacecraft." Automatica 113 (March 2020): 108792. http://dx.doi.org/10.1016/j.automatica.2019.108792.

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11

Poveda, J. I., and M. Krstić. "Fixed-Time Newton-Like Extremum Seeking." IFAC-PapersOnLine 53, no. 2 (2020): 5356–61. http://dx.doi.org/10.1016/j.ifacol.2020.12.1227.

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12

Wang, Xiao, Jie Guo, Shengjing Tang, and Shuai Qi. "Fixed-time disturbance observer based fixed-time back-stepping control for an air-breathing hypersonic vehicle." ISA Transactions 88 (May 2019): 233–45. http://dx.doi.org/10.1016/j.isatra.2018.12.013.

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13

Wei, Tengda, and Xiaodi Li. "Fixed-Time and Predefined-Time Stability of Impulsive Systems." IEEE/CAA Journal of Automatica Sinica 10, no. 4 (April 2023): 1086–89. http://dx.doi.org/10.1109/jas.2023.123147.

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14

Xu, Yuhua, Xiaoqun Wu, and Chao Xu. "Synchronization of Time-Varying Delayed Neural Networks by Fixed-Time Control." IEEE Access 6 (2018): 74240–46. http://dx.doi.org/10.1109/access.2018.2883417.

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15

Zhou, Yusheng, Shilin Liu, and Ning Wang. "Fixed-time Sliding Mode Control for Buck-Boost Converter." Journal of Physics: Conference Series 2310, no. 1 (October 1, 2022): 012044. http://dx.doi.org/10.1088/1742-6596/2310/1/012044.

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Abstract To obtain stable state within the fixed time and reduce the influence of uncertain device parameters on the buck-boost converter, this paper proposes the fixed-time sliding mode control (FSMC) and fixed-time adaptive sliding mode control (FASMC). Firstly, we build the state-space average model on the basis of the continuous conduction mode (CCM) of the buck-boost converter. Secondly, the fixed-time sliding mode surface and FSMC are studied when the device parameters are known. By analyzing the Lyapunov stability, it has been proved that the system can reach a stable state within the fixed time, besides the maximum of the fixed time is merely determined by the parameters of the control strategy. Thirdly, when the system device parameters are unknown, the FASMC is developed ensuring the system can reach the adjacent domain of the equilibrium point within the fixed time. Finally, the effectiveness of the proposed control strategies was verified by the simulation experiments.

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16

Liu, Mei, Binglong Lu, Zhanfeng Li, Haijun Jiang, and Cheng Hu. "Fixed-Time Synchronization Control of Delayed Dynamical Complex Networks." Entropy 23, no. 12 (November 30, 2021): 1610. http://dx.doi.org/10.3390/e23121610.

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Fixed-time synchronization problem for delayed dynamical complex networks is explored in this paper. Compared with some correspondingly existed results, a few new results are obtained to guarantee fixed-time synchronization of delayed dynamical networks model. Moreover, by designing adaptive controller and discontinuous feedback controller, fixed-time synchronization can be realized through regulating the main control parameter. Additionally, a new theorem for fixed-time synchronization is used to reduce the conservatism of the existing work in terms of conditions and the estimate of synchronization time. In particular, we obtain some fixed-time synchronization criteria for a type of coupled delayed neural networks. Finally, the analysis and comparison of the proposed controllers are given to demonstrate the validness of the derived results from one numerical example.

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17

Willems, J. L. "Stabilization of Decentralized Control Systems: Fixed Modes, Structurally Fixed Modes, Time-Varying Feedback." IFAC Proceedings Volumes 20, no. 9 (August 1987): 229–33. http://dx.doi.org/10.1016/s1474-6670(17)55711-0.

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18

Zhang, Peng, Yongzheng Cong, Di Wu, Guorong Zhang, and Qi Tan. "Design of fixed-time synchronization algorithm with applications." International Journal of Advanced Robotic Systems 16, no. 6 (November 1, 2019): 172988141989131. http://dx.doi.org/10.1177/1729881419891311.

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Fixed-time synchronization problem for a class of leader–follower multi-agent systems with second-order nonlinearity is studied in this article. A new fixed-time synchronization control algorithm is developed by effectively combining homogeneous system theory, Lyapunov stability theory, and fixed-time/finite-time control technology. The leader–follower multi-agent system is considered to achieve fixed-time synchronization control. Finally, numerical simulations including coordination control multiple pendulum robot systems and electric power networks are carried out to verify the control performance of the control strategy.

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19

Huang, Miaojie, and Qiang Lu. "A Fixed-Time Hierarchical Formation Control Strategy for Multiquadrotors." Journal of Robotics 2021 (May 5, 2021): 1–14. http://dx.doi.org/10.1155/2021/9979713.

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This paper deals with the problem of multiquadrotor collaborative control by developing and analyzing a new type of fixed-time formation control algorithm. The control strategy proposes a hierarchical control framework, which consists of two layers: a coordinating control layer and a tracking control layer. On the coordinating control layer, according to the fixed-time consistency theory, the virtual position and virtual velocity of each quadrotor are calculated and acquired to form a virtual formation, and the virtual velocity reaches consistency. On the tracking control layer, the real position and the real velocity track the virtual position and the virtual velocity, respectively. Thus, multiquadrotor can achieve the required formation shape and velocity consensus. Finally, the comparative simulations are carried out to illustrate the feasibility and superiority of the proposed fixed-time hierarchical formation control method for multiquadrotor collaborative control.

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20

Chen, Wei, Mingmin Liu, and Qinglei Hu. "Attitude Tracking Control for Spacecraft With Fixed-Time Convergence." IFAC-PapersOnLine 53, no. 2 (2020): 14857–62. http://dx.doi.org/10.1016/j.ifacol.2020.12.1934.

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21

Cao, Lu, Bing Xiao, Mehdi Golestani, and Dechao Ran. "Faster Fixed-Time Control of Flexible Spacecraft Attitude Stabilization." IEEE Transactions on Industrial Informatics 16, no. 2 (February 2020): 1281–90. http://dx.doi.org/10.1109/tii.2019.2949588.

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22

Cheng, Zhongtao, Hao Wu, Bo Wang, Lei Liu, and Yongji Wang. "Fixed-Time Convergent Guidance Law with Impact Angle Control." Complexity 2020 (May 29, 2020): 1–9. http://dx.doi.org/10.1155/2020/5019689.

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The existing convergence control guidance laws are designed via the Lyapunov asymptotic stability theory or finite-time stability theory. However, guidance law based on the Lyapunov asymptotic stability theory would lead the states to zero only as time approaches infinity, which is imperfect theory. The convergence time for guidance laws based on finite-time stable theory is dependent on the initial states. A fixed-time convergent guidance law with impact angle control is proposed in this paper. The proposed guidance law consists of two parts. One is the heading error angle shaping term, and the other is the bias term to achieve the desired impact angle. The guidance command is continuous during the engagement without utilizing the switching logics. Unlike the existing guidance law in the literature, the fixed-time stability theory is utilized to ensure the impact angle error to converge to zero before the interception. Furthermore, the convergence rate is merely related to control parameters. Simulations are carried out to illustrate the effectiveness of the proposed guidance law.

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23

Polyakov, Andrey. "Fixed-Time Stabilization via Second Order Sliding Mode Control." IFAC Proceedings Volumes 45, no. 9 (2012): 254–58. http://dx.doi.org/10.3182/20120606-3-nl-3011.00109.

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24

Zhang, Liyin, Youming Wang, Yinlong Hou, and Hong Li. "Fixed-Time Sliding Mode Control for Uncertain Robot Manipulators." IEEE Access 7 (2019): 149750–63. http://dx.doi.org/10.1109/access.2019.2946866.

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25

Zimenko, Konstantin, Andrey Polyakov, Denis Efimov, and Wilfrid Perruquetti. "On simple scheme of finite/fixed-time control design." International Journal of Control 93, no. 6 (August 13, 2018): 1353–61. http://dx.doi.org/10.1080/00207179.2018.1506889.

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26

Li, Xiaolei, Changyun Wen, and Jiange Wang. "Lyapunov-based fixed-time stabilization control of quantum systems." Journal of Automation and Intelligence 1, no. 1 (December 2022): 100005. http://dx.doi.org/10.1016/j.jai.2022.100005.

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27

Guan, Zhiyuan, Hu Liu, Zewei Zheng, Mihai Lungu, and Yunpeng Ma. "Fixed-time control for automatic carrier landing with disturbance." Aerospace Science and Technology 108 (January 2021): 106403. http://dx.doi.org/10.1016/j.ast.2020.106403.

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28

Huang, Bing, Ai-jun Li, Yong Guo, and Chang-qing Wang. "Fixed-time attitude tracking control for spacecraft without unwinding." Acta Astronautica 151 (October 2018): 818–27. http://dx.doi.org/10.1016/j.actaastro.2018.04.041.

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29

Wang, Hongbin, Bo Su, Yueling Wang, and Jing Gao. "Adaptive Sliding Mode Fixed-Time Tracking Control Based on Fixed-Time Sliding Mode Disturbance Observer with Dead-Zone Input." Complexity 2019 (August 22, 2019): 1–14. http://dx.doi.org/10.1155/2019/8951382.

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Aiming at the problem of fixed-time trajectory tracking control for high-order dynamic systems with external time-varying disturbance and input dead-zone, an adaptive fixed-time sliding mode control algorithm is proposed by employing a fixed-time sliding mode disturbance observer (FTSMDO) and high-order fixed-time sliding mode algorithm. Firstly, a FTSMDO is presented for the problem that estimating the compound disturbance is composed of input dead-zone and time-varying external disturbance in the higher-order dynamic system, which cannot be measured accurately. Furthermore, for the case that the total disturbance of the system has an unknown upper bound, the corresponding adaptive law is designed to estimate the unknown upper bound, and the fixed-time controller is designed based on FTSMDO algorithm to make all state variables converge in a fixed-time. Based on Lyapunov technique, the fixed-time convergence performance of the proposed algorithm is proved. The effectiveness of the presented fixed-time control algorithm is verified by simulating the depth tracking control of the underactuated underwater vehicle.

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30

Zhao, Jiaqi, Dongzhu Feng, Jiashan Cui, and Xin Wang. "Finite-Time Extended State Observer-Based Fixed-Time Attitude Control for Hypersonic Vehicles." Mathematics 10, no. 17 (September 2, 2022): 3162. http://dx.doi.org/10.3390/math10173162.

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A finite-time extended, state-observer-based, fixed-time backstepping control algorithm was designed for hypersonic flight vehicles. To enhance the robustness of the controller, two novel finite-time extended state observers were introduced to compensate for the negative effects of lumped disturbances such as uncertainties and external disturbances. Two hyperbolic sine tracking differentiators were used to approximate the derivatives of the virtual control signals and guidance commands, thereby alleviating the computational burden associated with traditional backstepping control. Furthermore, a fixed-time backstepping attitude controller was used to guarantee that the tracking errors converged to a small neighbor of the origin in fixed time. According to the simulation results, the proposed controller outperformed a fixed-time sliding mode disturbance, observer-based, finite-time backstepping controller in terms of the tracking precision and convergence rate. Moreover, the proposed controller was noted to be robust in simulations involving lumped disturbances.

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31

Polyakov, Andrey, Denis Efimov, and Bernard Brogliato. "Consistent Discretization of Finite-Time and Fixed-Time Stable Systems." SIAM Journal on Control and Optimization 57, no. 1 (January 2019): 78–103. http://dx.doi.org/10.1137/18m1197345.

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32

Liu, Mei, Huitao Zhao, Haijun Jiang, Cheng Hu, Zhiyong Yu, and Zhanfeng Li. "Fixed/Preassigned-Time Synchronization Control of Complex Networks With Time Varying Delay." IEEE Access 10 (2022): 16819–29. http://dx.doi.org/10.1109/access.2022.3149595.

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33

Mei, Yu, Jing Wang, Ju H. Park, Kaibo Shi, and Hao Shen. "Adaptive fixed-time control for nonlinear systems against time-varying actuator faults." Nonlinear Dynamics 107, no. 4 (January 6, 2022): 3629–40. http://dx.doi.org/10.1007/s11071-021-07171-y.

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34

Liu, Xiwei, and Tianping Chen. "Finite-Time and Fixed-Time Cluster Synchronization With or Without Pinning Control." IEEE Transactions on Cybernetics 48, no. 1 (January 2018): 240–52. http://dx.doi.org/10.1109/tcyb.2016.2630703.

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35

Zhang, Bangchu, Shuitao Rao, Yu Kuang, Zhuo Bai, and Weiyu Zhu. "Fixed-time Disturbance Observer-Based Finite-Time Backstepping Control for Hypersonic Vehicle." Journal of Physics: Conference Series 2512, no. 1 (May 1, 2023): 012014. http://dx.doi.org/10.1088/1742-6596/2512/1/012014.

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Abstract Due to the severe flight environment, hypersonic vehicles are susceptible to external disturbances and aerodynamic parameter uncertainties, dramatically challenging the precise control and stable tracking. This paper presented a fixed-time disturbance observer (FTDO) to obtain better tracking performance for hypersonic vehicles. The FTDO can improve the tracking performance under external disturbances and aerodynamic parameter perturbations, whose observation time is bounded and does not depend on the initial errors. The backstepping control can guarantee finite-time convergence with the finite-time control technique. A second-order filter is designed to process the complexity explosion problem in the traditional backstepping control and ensure the tracking system’s finite-time stability. Then with Lyapunov theory, it is proved that the control system is stable and convergent in finite time. Finally, three numerical simulation results based on typical conditions are given to show the effectiveness and advantage of the developed control scheme, and external disturbances can be estimated accurately within two seconds. These results have reference value for flight controller design of hypersonic and other aircraft in complex disturbance environments.

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36

Pan, Huihui, and Guangming Zhang. "Adaptive Fast Nonsingular Fixed-Time Tracking Control for Robot Manipulators." Complexity 2021 (May 8, 2021): 1–16. http://dx.doi.org/10.1155/2021/6629993.

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This paper studies the fixed-time trajectory tracking control problem of robot manipulators in the presence of uncertain dynamics and external disturbances. First, a novel nonsingular fixed-time sliding mode surface is presented, which can ensure that the convergence time of the suggested surface is bounded regardless of the initial states. Subsequently, a novel fast nonsingular fixed-time sliding mode control (NFNFSMC) is developed so that the closed-loop system is fixed-time convergent to the equilibrium. By applying the proposed NFNFSMC method and the adaptive technique, a novel adaptive nonsingular fixed-time control scheme is proposed, which can guarantee fast fixed-time convergence of the tracking errors to small regions around the origin. With the proposed control method, the lumped disturbance is compensated by the adaptive technique, whose prior information about the upper bound is not needed. The fixed-time stability of the trajectory tracking control under the proposed controller is proved by the Lyapunov stability theory. Finally, corresponding simulations are given to illustrate the validity and superiority of the proposed control approach.

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37

Ma, Caoyuan, Chuangzhen Liu, Xuezi Zhang, Yongzheng Sun, Wenbei Wu, and Jin Xie. "Fixed-Time Stability of the Hydraulic Turbine Governing System." Mathematical Problems in Engineering 2018 (2018): 1–10. http://dx.doi.org/10.1155/2018/1352725.

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This paper studies the problem of fixed-time stability of hydraulic turbine governing system with the elastic water hammer nonlinear model. To control and improve the quality of hydraulic turbine governing system, a new fixed-time control strategy is proposed, which can stabilize the water turbine governing system within a fixed time. Compared with the finite-time control strategy where the convergence rate depends on the initial state, the settling time of the fixed-time control scheme can be adjusted to the required value regardless of the initial conditions. Finally, we numerically show that the fixed-time control is more effective than and superior to the finite-time control.

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38

Li, Bo, Zeng-qiang Chen, Zhong-xin Liu, Chun-yan Zhang, and Qing Zhang. "Containment control of multi-agent systems with fixed time-delays in fixed directed networks." Neurocomputing 173 (January 2016): 2069–75. http://dx.doi.org/10.1016/j.neucom.2015.09.056.

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39

Tatari, Farzaneh, and Hamidreza Modares. "Deterministic and Stochastic Fixed-Time Stability of Discrete-time Autonomous Systems." IEEE/CAA Journal of Automatica Sinica 10, no. 4 (April 2023): 945–56. http://dx.doi.org/10.1109/jas.2023.123405.

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40

Liu, Lei, Junjie Liu, Junfang Li, Yuehui Ji, Yu Song, Liang Xu, and Wenxing Niu. "Fault-Tolerant Control for Quadrotor Based on Fixed-Time ESO." Mathematics 10, no. 22 (November 21, 2022): 4386. http://dx.doi.org/10.3390/math10224386.

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Focusing on the actuator fault of the quadrotor unmanned aerial vehicle (QUAV), an active fault-tolerant control scheme based on fixed-time linear active disturbance rejection control is proposed. Firstly, in order to simplify the complex dynamic model, the virtual control quantity is introduced to decouple the flight control system of the QUAV. Secondly, the fixed-time extended state observer (ESO) is utilized to estimate and compensate the internal uncertainty, external disturbance and actuator fault of the QUAV in fixed time. Thirdly, a continuous output feedback controller based on fixed-time ESO is designed to keep the stability of the flight control system with actuator fault and external disturbance. Finally, the closed-loop stability of the flight control system is demonstrated by Lyapunov function. The numerical simulation is carried and the results also verify the effectiveness of the proposed control scheme.

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41

Wang, Libin, Songlin Chen, Miroslav Krstić, and Hui Zhao. "Fixed-Time Estimators of Derivatives of Unknown Maps." IFAC-PapersOnLine 53, no. 2 (2020): 1530–35. http://dx.doi.org/10.1016/j.ifacol.2020.12.2012.

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42

Bourdin, Loïc, and Emmanuel Trélat. "Robustness under control sampling of reachability in fixed time for nonlinear control systems." Mathematics of Control, Signals, and Systems 33, no. 3 (June 4, 2021): 515–51. http://dx.doi.org/10.1007/s00498-021-00290-2.

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43

Yang, Tingting, Zuxin Li, and Jiaju Yu. "Trajectory Tracking Control of Surface Vehicles: A Prescribed Performance Fixed-Time Control Approach." IEEE Access 8 (2020): 209441–51. http://dx.doi.org/10.1109/access.2020.3039876.

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44

Wang, Zhenhua, Thach Ngoc Dinh, Qinghua Zhang, Tarek Raïssi, and Yi Shen. "Fast interval estimation for discrete-time systems based on fixed-time convergence." IFAC-PapersOnLine 53, no. 2 (2020): 4571–75. http://dx.doi.org/10.1016/j.ifacol.2020.12.481.

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45

Braidiz, Youness, Andrey Polyakov, Denis Efimov, and Wilfrid Perruquetti. "On fixed-time stability of a class of nonlinear time-varying systems." IFAC-PapersOnLine 53, no. 2 (2020): 6358–63. http://dx.doi.org/10.1016/j.ifacol.2020.12.1769.

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46

Chen, Ming, Huanqing Wang, and Xiaoping Liu. "Adaptive Practical Fixed-Time Tracking Control With Prescribed Boundary Constraints." IEEE Transactions on Circuits and Systems I: Regular Papers 68, no. 4 (April 2021): 1716–26. http://dx.doi.org/10.1109/tcsi.2021.3051076.

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47

Ebrahimi Dehshalie, Maziar, Meisam Kabiri, and Mahyar Ebrahimi Dehshali. "Stability analysis and fixed-time control of credit risk contagion." Mathematics and Computers in Simulation 190 (December 2021): 131–39. http://dx.doi.org/10.1016/j.matcom.2021.05.024.

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48

Ren, Pengxu, Fang Wang, and Ruitai Zhu. "Adaptive Fixed-Time Fuzzy Control of Uncertain Nonlinear Quantized Systems." International Journal of Fuzzy Systems 23, no. 3 (February 5, 2021): 794–803. http://dx.doi.org/10.1007/s40815-020-01018-1.

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49

Hu, Jingting, Guixia Sui, Xiaoxiao Lv, and Xiaodi Li. "Fixed-time control of delayed neural networks with impulsive perturbations." Nonlinear Analysis: Modelling and Control 23, no. 6 (November 21, 2018): 904–20. http://dx.doi.org/10.15388/na.2018.6.6.

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This paper is concerned with the fixed-time stability of delayed neural networks with impulsive perturbations. By means of inequality analysis technique and Lyapunov function method, some novel fixed-time stability criteria for the addressed neural networks are derived in terms of linear matrix inequalities (LMIs). The settling time can be estimated without depending on any initial conditions but only on the designed controllers. In addition, two different controllers are designed for the impulsive delayed neural networks. Moreover, each controller involves three parts, in which each part has different role in the stabilization of the addressed neural networks. Finally, two numerical examples are provided to illustrate the effectiveness of the theoretical analysis.

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50

Li, Yandong, Ling Zhu, and Yuan Guo. "Observer-based multivariable fixed-time formation control of mobile robots." Journal of Systems Engineering and Electronics 31, no. 2 (April 2020): 403–14. http://dx.doi.org/10.23919/jsee.2020.000017.

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