Abstract
This paper deals with the issue of finite-time observer-based \(H_\infty \) control design of networked switched systems (NSS) subject to external disturbances via an event-triggered observation strategy. This triggering strategy is used to decide when the output measurements are sent to the observer over the communication network. By incorporating digital networks, the closed-loop system is modeled as a switched delayed system due to network-induced delays. By using the average dwell time (ADT) switching method with the Lyapunov–Krasovskii functional, several sufficient linear matrix inequalities (LMIs) conditions for the observer-based control synthesis are developed to guarantee the finite-time boundedness and the disturbance attenuation control performance of the resulting switched delayed system. Finally, an example is given to illustrate the effectiveness of the theoretical results.
Similar content being viewed by others
Data Availability
The authors declare that the data supporting the findings of this study are available within the article.
References
S. Boyd, L. El Ghaoui, E. Feron, V. Balakrishnan, Linear Matrix Inequalities in System and Control Theory (Society for industrial and applied mathematics, Philadelphia, 1994)
J. Cao, D. Ding, J. Liu, E. Tian, S. Hu, X. Xie, Hybrid-triggered-based security controller design for networked control system under multiple cyber attacks. Inf. Sci. 548, 69–84 (2021)
H. Gao, K. Shi, H. Zhang, A novel event-triggered strategy for networked switched control systems. J. Frankl. Inst. 358(1), 251–267 (2021)
Z. He, B. Wu, Y.E. Wang, M. He, Finite-time event-triggered \(H_\infty \) filtering of the continuous-time switched time-varying delay linear systems. Asian J. Control 24(3), 1197–1208 (2022)
W.P.M.H. Heemels, B. De Schutter, J. Lunze, M. Lazar, Stability analysis and controller synthesis for hybrid dynamical systems. Philos. Trans. R. Soc. A Math. Phys. Eng. Sci. 368(1930), 4937–4960 (2010)
W.P. Heemels, K.H. Johansson, P. Tabuada, An introduction to event-triggered and self-triggered control. In 2012 IEEE 51st IEEE Conference on Decision and Control (cdc) (pp. 3270–3285). IEEE (2012)
J.P. Hespanha, A.S. Morse, Stability of switched systems with average dwell-time. In Proceedings of the 38th IEEE Conference on Decision and Control (Cat. No. 99CH36304) (Vol. 3, pp. 2655–2660). IEEE (1999)
J.P. Hespanha, P. Naghshtabrizi, Y. Xu, A survey of recent results in networked control systems. Proc. IEEE 95(1), 138–162 (2007)
D.W. Ho, G. Lu, Robust stabilization for a class of discrete-time non-linear systems via output feedback: the unified LMI approach. Int. J. Control 76(2), 105–115 (2003)
S. Hu, D. Yue, Q.L. Han, X. Xie, X. Chen, C. Dou, Observer-based event-triggered control for networked linear systems subject to denial-of-service attacks. IEEE Trans. Cybern. 50(5), 1952–1964 (2019)
S. Kanakalakshmi, R. Sakthivel, S.A. Karthick, A. Leelamani, A. Parivallal, Finite-time decentralized event-triggering non-fragile control for fuzzy neural networks with cyber-attack and energy constraints. Eur. J. Control. 57, 135–146 (2021)
H. Kargar, J. Zarei, R. Razavi-Far, Robust fault detection filter design for nonlinear networked control systems with time-varying delays and packet dropout. Circuits Syst. Signal Process. 38, 63–84 (2019)
M. Li, Y. Chen, Robust adaptive sliding mode control for switched networked control systems with disturbance and faults. IEEE Trans. Ind. Inf. 15(1), 193–204 (2018)
M. Li, Y. Chen, Y. Zhang, Y. Liu, Adaptive sliding-mode tracking control of networked control systems with false data injection attacks. Inf. Sci. 585, 194–208 (2022)
J. Lian, X. Huang, Resilient control of networked switched systems against DoS attack. IEEE Trans. Ind. Inf. 18(4), 2354–2363 (2021)
H. Lin, P.J. Antsaklis, Stability and stabilizability of switched linear systems: a survey of recent results. IEEE Trans. Autom. Control 54(2), 308–322 (2009)
C. Peng, T.C. Yang, Event-triggered communication and \(H_\infty \) control co-design for networked control systems. Automatica 49(5), 1326–1332 (2013)
H. Ren, G. Zong, T. Li, Event-triggered finite-time control for networked switched linear systems with asynchronous switching. IEEE Trans. Syst. Man Cybern. Syst. 48(11), 1874–1884 (2018)
H. Shen, M. Xing, Z.G. Wu, S. Xu, J. Cao, Multiobjective fault-tolerant control for fuzzy switched systems with persistent dwell time and its application in electric circuits. IEEE Trans. Fuzzy Syst. 28(10), 2335–2347 (2019)
C. Song, H. Wang, Y. Tian, Event-triggered piecewise-continuous observer design based on system output data received from network. Trans. Inst. Meas. Control. 40(15), 4166–4174 (2018)
C. Song, H. Wang, Y. Tian, G. Zheng, Event-triggered observer design for delayed output-sampled systems. IEEE Trans. Autom. Control 65(11), 4824–4831 (2019)
P. Tabuada, Event-triggered real-time scheduling of stabilizing control tasks. IEEE Trans. Autom. Control 52(9), 1680–1685 (2007)
S. Wang, M. Zeng, J.H. Park, L. Zhang, T. Hayat, A. Alsaedi, Finite-time control for networked switched linear systems with an event-driven communication approach. Int. J. Syst. Sci. 48(2), 236–246 (2017)
L. Weiss, E. Infante, Finite time stability under perturbing forces and on product spaces. IEEE Trans. Autom. Control 12(1), 54–59 (1967)
C. Wu, X. Zhao, W. Xia, J. Liu, T. Başar, L2-gain analysis for dynamic event-triggered networked control systems with packet losses and quantization. Automatica 129, 109587 (2021)
S. Xiao, Y. Zhang, B. Zhang, Event-triggered network-based state observer design of positive systems. Inf. Sci. 469, 30–43 (2018)
S. Yan, M. Shen, G. Zhang, Extended event-driven observer-based output control of networked control systems. Nonlinear Dyn. 86(3), 1639–1648 (2016)
D. Yang, G. Zong, H.R. Karimi, \(H_\infty \) refined antidisturbance control of switched LPV systems with application to aero-engine. IEEE Trans. Ind. Electron. 67(4), 3180–3190 (2019)
X. Yin, Z. Li, L. Zhang, M. Han, Distributed state estimation of sensor-network systems subject to Markovian channel switching with application to a chemical process. IEEE Trans. Syst. Man Cybern. Syst. 48(6), 864–874 (2016)
D. Zeng, Z. Liu, C.P. Chen, Y. Zhang, Z. Wu, Adaptive fuzzy output-feedback predefined-time control of nonlinear switched systems with admissible edge-dependent average dwell time. IEEE Trans. Fuzzy Syst. 30(12), 5337–5350 (2022)
X.M. Zhang, Q.L. Han, X. Ge, D. Ding, L. Ding, D. Yue, C. Peng, Networked control systems: a survey of trends and techniques. IEEE/CAA J. Autom. Sin. 7(1), 1–17 (2019)
R. Zhao, Z. Zuo, Y. Wang, Event-triggered control for networked switched systems with quantization. IEEE Trans. Syst. Man Cybern. Syst. 52(10), 6120–6128 (2022)
X. Zhou, Y. Chen, Q. Wang, K. Zhang, A. Xue, Event-triggered finite-time \( H_\infty \) control of networked state-saturated switched systems. Int. J. Syst. Sci. 51(10), 1744–1758 (2020)
L. Zhou, X. Xiao, New Input-to-State Stability Condition for Continuous-Time Switched Nonlinear Systems. Circuits Syst. Signal Process. 1–17 (2022)
Funding
The authors did not receive support from any organization for the preparation of this manuscript.
Author information
Authors and Affiliations
Corresponding author
Ethics declarations
Conflict of interest
The authors have no competing interests to declare.
Additional information
Publisher's Note
Springer Nature remains neutral with regard to jurisdictional claims in published maps and institutional affiliations.
Rights and permissions
Springer Nature or its licensor (e.g. a society or other partner) holds exclusive rights to this article under a publishing agreement with the author(s) or other rightsholder(s); author self-archiving of the accepted manuscript version of this article is solely governed by the terms of such publishing agreement and applicable law.
About this article
Cite this article
Derouiche, O., Kamri, D. Robust Finite-Time Control for a Class of Networked Switched Systems Using an Event-Triggered Observer. Circuits Syst Signal Process 43, 821–842 (2024). https://doi.org/10.1007/s00034-023-02511-2
Received:
Revised:
Accepted:
Published:
Issue Date:
DOI: https://doi.org/10.1007/s00034-023-02511-2