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Title: Event-triggered $H_\infty $ static output feedback control of discrete time piecewise-affine systems (English)
Author: Xue, Zhuyun
Author: Shen, Mouquan
Language: English
Journal: Kybernetika
ISSN: 0023-5954 (print)
ISSN: 1805-949X (online)
Volume: 57
Issue: 3
Year: 2021
Pages: 513-533
Summary lang: English
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Category: math
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Summary: This paper is concerned with the problem of $H_\infty$ event-triggered output feedback control of discrete time piecewise-affine systems. Relying on system outputs, a piecewise-affine triggering condition is constructed to release communication burden. Resorting to piecewise Lyapunov functional and robust control techniques, sufficient conditions are built to ensure the closed-loop systems to be asymptotically stable with the prescribed $H_\infty$ performance. By utilizing a separation strategy, the static output feedback controller is solved by means of linear matrix inequalities. The validity of the proposed method are demonstrated by numerical examples. (English)
Keyword: event-triggered control
Keyword: output feedback control
Keyword: linear matrix inequality
MSC: 65Z99
MSC: 93D09
idZBL: Zbl 07442522
idMR: MR4299461
DOI: 10.14736/kyb-2021-3-0513
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Date available: 2021-11-04T12:48:55Z
Last updated: 2022-02-24
Stable URL: http://hdl.handle.net/10338.dmlcz/149204
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Reference: [1] Anders, R., Mikael, J.: Computation of piecewise quadratic Lyapunov functions for hybrid systems..IEEE Trans. Automat. Control (1998), 2005-2010.
Reference: [2] Antoine, G.: Dynamic triggering mechanisms for event-triggered control..IEEE Trans. Automat. Control 60 (2015), 1992-1997.
Reference: [3] Bengtsson, G., Lindahl, S.: A design scheme for incomplete state or output feedback with applications to boiler and power system control..Automatica 10 (1974), 15-30.
Reference: [4] Boyd, S., Ghaoui, L. E., Feron, E., Balakrishnan, V.: Linear Matrix Inequalities in System and Control Theory..SIAM 1994. Zbl 0816.93004
Reference: [5] Breschi, V., Piga, D., Bemporad, A.: iecewise affine regression via recursive multiple least squares and multicategory discrimination..Automatica 73 (2016), 155-162.
Reference: [6] Calise, A. J., Hovakimyan, N., Idan, M.: Adaptive output feedback control of nonlinear systems using neural networks..Automatica 37 (2001), 1201-1211.
Reference: [7] Chang, X., Yang, G.: New results on output feedback $ H_ {\infty} $ control for linear discrete-time systems..IEEE Trans. Automat. Control 59 (2014), 1355-1359.
Reference: [8] Chang, X., Zhang, L., Park, J. H.: Robust static output feedback $ H_ {\infty} $ control for uncertain fuzzy systems..Fuzzy Sets Systems 273 (2015), 87-104.
Reference: [9] Chao, D., Che, W., Shi, P.: Cooperative fault-tolerant output regulation for multiagent systems by distributed learning control approach..IEEE Trans. Neural Networks Learning Systems 31 (2019), 4831-4841.
Reference: [10] Chao, D., Che, W., Wu, Z.: A dynamic periodic event-triggered approach to consensus of heterogeneous linear multiagent systems with time-varying communication delays..IEEE Trans. Cybernet. xx (2020), 1812-1821.
Reference: [11] Eghbal, N., Pariz, N., Karimpour, A.: Discontinuous piecewise quadratic Lyapunov functions for planar piecewise affine systems..J. Math. Anal. Appl. 399 (2013), 586-593.
Reference: [12] Heemels, W., Donkers, M.: Model-based periodic event-triggered control for linear systems..Automatica 49 (2013), 698-711.
Reference: [13] Iervolino, R., Tangredi, D., Vasca, F.: Lyapunov stability for piecewise affine systems via cone-copositivity..Automatica 81 (2017), 22-29.
Reference: [14] Kantner, M.: Robust stability of piecewise linear discrete time systems..Proc. 1997 American Control Conference, IEEE 2 (1997), 1241-1245.
Reference: [15] Khashooei, A., Antunes, B., Heemels, W.: Output-based event-triggered control with performance guarantees..IEEE Trans. Automat. Control 62 (2017), 3646-3652.
Reference: [16] Liu, Y., Yang, G., Li, X.: Event-triggered fault detection observer design for affine fuzzy systems..Neurocomputing 267 (2017), 564-571.
Reference: [17] Ma, Y., Wu, W., Cui, B.: Event-triggered feedback control for discrete-time piecewise-affine systems..Int. J. Systems Sci. 49 (2018), 3377-3389.
Reference: [18] Ma, Y., Wu, W., Gorges, D., Cui, B.: Event-triggered feedback control for discrete-time piecewise affine systems subject to input saturation..Nonlinear Dynamics 95 (2018), 2353-2365.
Reference: [19] Mohammed, C., Guerra, T. M.: LMI solution for robust static output feedback control of discrete Takagi-Sugeno fuzzy models..IEEE Trans. Fuzzy Systems 20 (2012), 1160-1165.
Reference: [20] Palmieri, G., Baric, M., Glielmo, L., Borrelli, F.: Robust vehicle lateral stabilisation via set-based methods for uncertain piecewise affine systems..Vehicle System Dynamics 50 (2012), 861-882.
Reference: [21] Perez, J., Llopis, R. S.: Tuning and robustness analysis of event-based PID controllers under different event-generation strategies..Int. J. Control 91 (2018), 1567-1587.
Reference: [22] Ren, W., Yang, H., Jiang, B.: Fault recoverability analysis of nonlinear systems: A piecewise affine system approach..Int. J. Control Automat. Systems 15 (2017), 547-556.
Reference: [23] Shen, J., Lam, J.: Static output-feedback stabilization with optimal $L_1$-gain for positive linear systems.Automatica 63 (2016), 248-253.
Reference: [24] Song, X., Zhou, S., Zhang, B.: A cone complementarity linearization approach to robust $H_\infty$ controller design for continuous-time piecewise linear systems with linear fractional uncertainties..Nonlinear Analysis: Hybrid Systems 2 (2008), 1264-1274.
Reference: [25] Vaezi, M., Izadian, A.: Piecewise affine system identification of a hydraulic wind power transfer system..IEEE Trans. Control Systems Technol. 23 (2015), 2077-2086.
Reference: [26] Wang, X., Deng, Z., Ma, S., Du, X.: Event-triggered design for multi-agent optimal consensus of Euler-Lagrangian systems..Kybernetika 53 (2017), 179-194.
Reference: [27] Wei, Y., Qiu, J., Karimi, H. R.: A novel approach to sampled-data filter design for piecewise-affine systems..Automatica 109 (2019) 108481.
Reference: [28] Wei, Y., Qiu, J., Lam, H., Wu, L.: Approaches to T-S fuzzy-affine-model-based reliable output feedback control for nonlinear Ito stochastic systems..IEEE Trans. Fuzzy Systems 25 (2016), 569-583.
Reference: [29] Durrant-Whyte, H.: Autonomous land vehicles..J. Systems Control Engrg. 219 (2005), 77-94.
Reference: [30] Xie, L.: Output feedback $H_\infty$ control of systems with parameter uncertainty..Int. J. Control 63 (1996), 741-750.
Reference: [31] Yan, S., Zhang, G., Li, T., Shen, M., Li, L.: $H_\infty$ static output control of discrete-time networked control systems with an event-triggered scheme..Circuits 37 (2018), 553-568.
Reference: [32] Yang, R., Zheng, W., Yu, Y.: Event-triggered sliding mode control of discrete-time two-dimensional systems in Roesser model..Automatica 114 (2020), 108813.
Reference: [33] Zhang, H., and, Y. Shi, Mehr, A. S.: Robust static output feedback control and remote PID design for networked motor systems..IEEE Trans. Industr. Electronics 25 (2011), 5396-5405.
Reference: [34] Zhang, P., Wang, J.: Event-triggered observer-based tracking control for leader-follower multi-agent systems..Kybernetika 52 (2016), 589-606.
Reference: [35] Zhu, Y., Zhong, Z., Basin, M. V., Zhou, D.: A descriptor system approach to stability and stabilization of discrete-time switched PWA systems..IEEE Trans. Automat. Control 63 (2018), 3456-3463.
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