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Journal articles on the topic 'Constrained Zonotopes'

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Author: Grafiati

Published: 10 December 2022

Last updated: 28 January 2023

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1

Raghuraman, Vignesh, and Justin P. Koeln. "Set operations and order reductions for constrained zonotopes." Automatica 139 (May 2022): 110204. http://dx.doi.org/10.1016/j.automatica.2022.110204.

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2

Hamdi, Walid, Wissal Bey, and Naceur Benhadj Braiek. "Stabilization of constrained uncertain systems by an off-line approach using zonotopes." Advances in Science, Technology and Engineering Systems Journal 3, no. 1 (January 2018): 281–87. http://dx.doi.org/10.25046/aj030134.

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3

Scott, Joseph K., Davide M. Raimondo, Giuseppe Roberto Marseglia, and Richard D. Braatz. "Constrained zonotopes: A new tool for set-based estimation and fault detection." Automatica 69 (July 2016): 126–36. http://dx.doi.org/10.1016/j.automatica.2016.02.036.

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4

Ocampo-Martinez, C., P. Guerra, V. Puig, and J. Quevedo. "Actuator fault-tolerance evaluation of linear constrained model predictive control using zonotope-based set computations." Proceedings of the Institution of Mechanical Engineers, Part I: Journal of Systems and Control Engineering 221, no. 6 (September 1, 2007): 915–26. http://dx.doi.org/10.1243/09596518jsce340.

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This paper presents a computational procedure to evaluate the fault tolerance of a linear-constrained model predictive control (LCMPC) scheme for a given actuator fault configuration (AFC). Faults in actuators cause changes in the constraints related to control signals (inputs), which in turn modify the set of MPC feasible solutions. This fact may result in an empty set of admissible solutions for a given control objective. Therefore, the admissibility of the control law facing actuator faults can be determined by knowing the set of feasible solutions. One of the aims of this paper is to provide methods to compute this set and to evaluate the admissibility of the control law for a given AFC, once the control objective and the admissibility criteria have been established. In particular, the admissible solution set for the predictive control problem, including the effect of faults (either through reconfiguration or accommodation), is determined using an algorithm that is implemented using set computations based on zonotopes. Finally, the proposed method is tested on a real application consisting of a part of the Barcelona sewer network.

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5

Rego, Brenner S., Davide M. Raimondo, and Guilherme V. Raffo. "Set-based state estimation and fault diagnosis of linear discrete-time descriptor systems using constrained zonotopes." IFAC-PapersOnLine 53, no. 2 (2020): 4291–96. http://dx.doi.org/10.1016/j.ifacol.2020.12.2484.

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6

Rego, Brenner S., Joseph K. Scott, Davide M. Raimondo, and Guilherme V. Raffo. "Set-valued state estimation of nonlinear discrete-time systems with nonlinear invariants based on constrained zonotopes." Automatica 129 (July 2021): 109638. http://dx.doi.org/10.1016/j.automatica.2021.109638.

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7

Rego, Brenner S., Guilherme V. Raffo, Joseph K. Scott, and Davide M. Raimondo. "Guaranteed methods based on constrained zonotopes for set-valued state estimation of nonlinear discrete-time systems." Automatica 111 (January 2020): 108614. http://dx.doi.org/10.1016/j.automatica.2019.108614.

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8

Xu, Zhanpeng, Xiaoqian Chen, Yiyong Huang, Yuzhu Bai, and Qifeng Chen. "Collision prediction and avoidance for satellite ultra-close relative motion with zonotope-based reachable sets." Proceedings of the Institution of Mechanical Engineers, Part G: Journal of Aerospace Engineering 233, no. 11 (November 14, 2018): 3920–37. http://dx.doi.org/10.1177/0954410018810255.

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Collision prediction and avoidance are critical for satellite proximity operations, and the key is the treatment of satellites' motion uncertainties and shapes, especially for ultra-close autonomous systems. In this paper, the zonotope-based reachable sets are utilized to propagate the uncertainties. For satellites with slender structures (such as solar panels), their shapes are simplified as cuboids which is a special class of zonotopes, instead of the classical sphere approach. The domains in position subspace influenced by the uncertainties and shapes are determined, and the relative distance is estimated to assess the safety of satellites. Moreover, with the approximation of the domains, the worst-case uncertainties for path constraints are determined, and a robust model predictive control method is proposed to deal with the line of sight and obstacle avoidance constraints. With zonotope representations of satellites, the proposed robust model predictive control is capable of handling the shapes of the satellite and obstacle simultaneously. Numerical simulations demonstrate the effectiveness of the proposed methods with an elliptic reference orbit. 1

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9

Ping, Xubin, and Ning Sun. "Dynamic Output Feedback Robust Model Predictive Control via Zonotopic Set-Membership Estimation for Constrained Quasi-LPV Systems." Journal of Applied Mathematics 2015 (2015): 1–12. http://dx.doi.org/10.1155/2015/875850.

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For the quasi-linear parameter varying (quasi-LPV) system with bounded disturbance, a synthesis approach of dynamic output feedback robust model predictive control (OFRMPC) is investigated. The estimation error set is represented by a zonotope and refreshed by the zonotopic set-membership estimation method. By properly refreshing the estimation error set online, the bounds of true state at the next sampling time can be obtained. Furthermore, the feasibility of the main optimization problem at the next sampling time can be determined at the current time. A numerical example is given to illustrate the effectiveness of the approach.

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10

Liu, Zixing, Ziyun Wang, Yan Wang, and Zhicheng Ji. "Sensor fault estimation based on the constrained zonotopic Kalman filter." International Journal of Robust and Nonlinear Control 31, no. 12 (June 3, 2021): 5984–6006. http://dx.doi.org/10.1002/rnc.5629.

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11

Dbouk, Hani, and Steffen Schön. "Reliable Bounding Zones and Inconsistency Measures for GPS Positioning using Geometrical Constraints." Acta Cybernetica 24, no. 3 (March 19, 2020): 573–91. http://dx.doi.org/10.14232/actacyb.24.3.2020.16.

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Reliable confidence domains for Global Navigation Satellite System (GNSS) positioning and inconsistency measures of the observations are of great importance for any navigation system, especially for safety critical applications. In this work, deterministic error bounds are introduced in form of intervals to assess remaining observation errors. The intervals can be computed based on expert knowledge or based on a sensitivity analysis of the measurement correction process. Using convex optimization, bounding zones are computed for GPS positioning using the geometrical constraints imposed by the observation intervals. The bounding zone is a convex polytope, where exploiting only the navigation geometry, confidence domain is computed in form of zonotope. We show that the relative volume between the polytopes and the zonotope is an inconsistency measures. Small polytope volume indicates bad consistency of the observations. In extreme cases empty sets are obtained which indicates large outliers. We determine the observation intervals via sensitivity analysis of the Klobuchar ionospheric model and Saastamoinen tropospheric model. The remaining errors are treated as white noise. We explain how the shape and the volume of the polytope are related to the positioning geometry. We show that this assignment has to be interpreted with care. Furthermore, we propose a new concept of Minimum Detectable Biases (MDB). Taking GPS data from simulations and real experiments, a comparison analysis between the proposed deterministic bounding method and the classical least-squares adjustment has been conduct in terms of accuracy and reliability. This helps validating that our proposed deterministic bound methods shows high internal and external reliability compared to the probabilistic approaches and that it provides rigorous inconsistency measures.

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12

Nassourou, Mohamadou, Joaquim Blesa, and Vicenç Puig. "Robust Economic Model Predictive Control Based on a Zonotope and Local Feedback Controller for Energy Dispatch in Smart-Grids Considering Demand Uncertainty." Energies 13, no. 3 (February 5, 2020): 696. http://dx.doi.org/10.3390/en13030696.

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Electrical smart grids are complex MIMO systems whose operation can be noticeably affected by the presence of uncertainties such as load demand uncertainty. In this paper, based on a restricted representation of the demand uncertainty, we propose a robust economic model predictive control method that guarantees an optimal energy dispatch in a smart micro-grid. Load demands are uncertain, but viewed as bounded. The proposed method first decomposes control inputs into dependent and independent components, and then tackles the effect of demand uncertainty by tightening the system constraints as the uncertainty propagates along the prediction horizon using interval arithmetic and local state feedback control law. The tightened constraints’ upper and lower limits are computed off-line. The proposed method guarantees stability through a periodic terminal state constraint. The method is faster and simpler compared to other approaches based on Closed-loop min–max techniques. The applicability of the proposed approach is demonstrated using a smart micro-grid that comprises a wind generator, some photovoltaic (PV) panels, a diesel generator, a hydroelectric generator and some storage devices linked via two DC-buses, from which load demands can be adequately satisfied.

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13

Zarch, Majid Ghaniee, Vicenç Puig, Javad Poshtan, and Mahdi Aliyari Shoorehdeli. "Process Performance Verification Using Viability Theory." Processes 9, no. 3 (March 8, 2021): 482. http://dx.doi.org/10.3390/pr9030482.

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The development of efficient methods for process performance verification has drawn a lot of attention in the research community. Viability theory is a mathematical tool to identify the trajectories of a dynamical system which remains in a constraint set. In this paper, viability theory is investigated for this purpose in the case of nonlinear processes that can be represented in Linear Parameter Varying (LPV) form. In particular, verification algorithms based on the use of invariance and viability kernels and capture basin are proposed. The difficulty with the application of this theory is the computation of these sets. A Lagrangian method has been used to approximate these sets. Because of simplicity and efficient computations, zonotopes are adopted for set representation. Two new sets called Safe Work Area (SWA) and Required Performance (RP) are defined and an algorithm is proposed to use these concepts for the verification purpose. Finally, two application examples based on well-known case studies, a two-tank system and PH neutralization plant, are provided to show the effectiveness of the proposed method.

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14

Yang, Liren, Hang Zhang, Jean-Baptiste Jeannin, and Necmiye Ozay. "Efficient Backward Reachability using the Minkowski Difference of Constrained Zonotopes." IEEE Transactions on Computer-Aided Design of Integrated Circuits and Systems, 2022, 1. http://dx.doi.org/10.1109/tcad.2022.3197971.

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15

Rego, Brenner S., Stelios G. Vrachimis, Marios M. Polycarpou, Guilherme V. Raffo, and Davide M. Raimondo. "State Estimation and Leakage Detection in Water Distribution Networks Using Constrained Zonotopes." IEEE Transactions on Control Systems Technology, 2021, 1–14. http://dx.doi.org/10.1109/tcst.2021.3130534.

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16

Zhao, Zhongyi, Zidong Wang, Lei Zou, Yun Chen, and Weiguo Sheng. "Zonotopic distributed fusion for nonlinear networked systems with bit rate constraint." Information Fusion, September 2022. http://dx.doi.org/10.1016/j.inffus.2022.09.014.

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17

Pan, Zhichao, Xiaoli Luan, and Fei Liu. "Set-membership state and parameter estimation for discrete time-varying systems based on the constrained zonotope." International Journal of Control, October 21, 2022, 1–13. http://dx.doi.org/10.1080/00207179.2022.2135608.

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18

Cunha, Victor M., and Tito L. M. Santos. "Robust Nonlinear Model Predictive Control with Bounded Disturbances Based on Zonotopic Constraint Tightening." Journal of Control, Automation and Electrical Systems, August 30, 2021. http://dx.doi.org/10.1007/s40313-021-00783-0.

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19

Abdelaziz, S., L. Esteveny, L. Barbé, P. Renaud, B. Bayle, and M. de Mathelin. "Design of a Magnetic Resonance Imaging-Compatible Cable-Driven Manipulator With New Instrumentation and Synthesis Methods." Journal of Mechanical Design 136, no. 9 (June 19, 2014). http://dx.doi.org/10.1115/1.4027783.

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This paper deals with the design of a cable-driven manipulator (CDM) with instrumented structure for magnetic resonance imaging (MRI)-guided interventions. The strong magnetic field and the limited space inside the scanner constitute two severe design constraints. To handle them, a new synthesis approach for CDM is proposed in order to optimize the device compactness. This approach is based on the use of the zonotope properties to optimize the robot geometry, and the interval analysis tools for its validation. Remote actuation with Bowden cables is considered for MRI-compatibility. High friction along the line transmissions can then be expected which leads to a new instrumentation for cable tension evaluation. A prototype is manufactured and assessed. The principle of the instrumentation is validated as well as the user requirements in terms of workspace and ability to resist to external forces applied by the physician.

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