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A new LF for Switched Systems with Sampled Control

Author(s)

Xinlei Wu, Yang Jia*, Zixing Yang, Ruixi Guo, Peng Ai, Xianbin Fang

Affiliation(s)

College of Electrical Engineering, Southwest Minzu University, Chengdu, Sichuan, China *Corresponding Author.

Abstract

This study introduces a novel looped-function (LF) approach for evaluating the stability of linear switching systems under sampled-triggered control. The method introduced a novel stability of system and based on the discrete-time Lyapunov theorem, to present a sampling-triggered for switching systems. It greatly reduces the conservation of the system and the method is based on the discrete-time Lyapunov theorem. Based on the LF, it can improve stable criteria for switched systems with sampled control. The combination of LF and switching system can greatly reduce the amount of calculation. Therefore, our theoretical analysis is great significance and greatly promote the stability of the control system.

Keywords

LF; Sampled Control; Switching System

References

[1] V. Kolmanovskii and A. Myshkis, Introduction to the theory and applications of functional differential equations, vol. 463. Springer Science & Business Media, 2013. [2] J. Daafouz, P. Riedinger, and C. Iung, “Stability analysis and control synthesis for switched systems: a switched lyapunov function approach,” IEEE transactions on automatic control, vol. 47, no. 11, pp. 1883–1887, 2002. [3] K. S. Narendra and J. Balakrishnan, “A common lyapunov function for stable lti systems with commuting a-matrices,” IEEE Transactions on automatic control, vol. 39, no. 12, p- p. 2469–2471, 1994. [4] P. Khargonekar, K. Poolla, and A. Tannenbaum, “Robust control of linear time-invariant plants using periodic compen -sation,” IEEE Transactions on Automatic Control, vol. 30, no. 11, pp. 1088–1096, 1985. [5] W. T. Crow, R. D. Koster, R. H. Reichle, and H. O. Sharif, “Relevance of time-varying and time-invariant retrieval error sources on the utility of spaceborne soil moisture products,” Geophysical Research Letters, vol. 32, no. 24, 2005. [6] A. Seuret, “A novel stability analysis of linear systems under asynchronous samplings,” Automatica, vol. 48, pp. 177–182, jan 2012. [7] Y. Z. Tsypkin, Sampling Systems Theory and Its Application: International Series of Monographs on Electronics and In- strumentation. Elsevier, 2014. [8] A. S. Zinober, Variable structure and Lyapunov control, vol. 193. Springer, 1994. [9] K. Tanaka, T. Hori, and H. O. Wang, “A multiple lyapunov function approach to stabilization of fuzzy control systems,” IEEE Transactions on fuzzy systems, vol. 11, no. 4, pp. 582– 589, 200 [10] J. Park and P. Park, “An extended LFal for stabil- ity analysis of sampled-data systems,” International Journal of Robust and Nonlinear Control, vol. 30, pp. 7962–7969, sep 2020. [11] C. Briat and A. Seuret, “A LFal approach for ro- bust stability analysis of linear impulsive systems,” Systems & Control Letters, vol. 61, pp. 980–988, oct 2012. [12] J. Lian, C. Li, and G. Zhai, “Stability of impulsive switched systems with sampled-data control,” IET Control Theory & Applications, vol. 15, pp. 523–533, dec 2020. [13] H. Gao, K. Shi, and H. Zhang, “A novel event-triggered strategy for networked switched control systems,” Journal of the Franklin Institute, vol. 358, pp. 251–267, jan 2021.