Event-triggered L₂ − L_∞ filtering for asynchronous switched LPV systems with mode-dependent average dwell time

Abstract

In this paper, event-triggered L₂ − L_∞ filtering problem for a class of switched linear parameter varying systems with both mode-dependent average dwell time and asynchronous switching is concerned. A new sampled delay-dependent and parameterised filtering error switched system is constructed on the basis of event-triggered communication scheme. Results on exponential stability with a prescribed L₂ − L_∞ performance are proposed by exploiting the parameter-dependent Lyapunov–Krasovskii functional and the mode-dependent average dwell time method, which is less rigid with requirement of minimal average dwell time of the switching signal. Furthermore, the gains of the parameter-dependent filter with mismatched system mode are solved in terms of linear matrix inequalities, meanwhile, the parallel results with the matched case are also obtained. Finally, a numerical example is provided to show the effectiveness and potential of the proposed design scheme.

Keywords:

• Mode-dependent average dwell time (MDADT)
• event-triggered communication scheme (ETCS)
• asynchronous switching
• L₂ − L_∞ filtering
• switched linear parameter varying (LPV) systems

Disclosure statement

No potential conflict of interest was reported by the authors.

Additional information

Funding

This work was supported by the Natural Science Foundation of Heilongjiang Province of China (LH2020F004).

Notes on contributors

Ji Qi

Ji Qi was born in Heilongjiang Province, China, 1979. She received the M.S. in Control Science and Engineering from Northeast Petroleum University, Daqing, China, in 2009. She is currently a doctoral candidate with the Department Control Science and Engineering in Northeast Petroleum University, Daqing, China. Since July 2002, she has been with Qiqihar University, where she is currently an Associate Professor of the Research Institute of Communication and Electronic Engineering Institute. Her research interests include network based control, robust control/filtering theory and fault diagnosis.

Yanhui Li

Yanhui Li was born in Heilongjiang Province, China, 1970. She received his Ph.D. degree in control science and engineering from Harbin Institute of Technology, China, in 2004. She was a Research Associate with the Department of Mechanical Engineering, The University of Hong Kong, from December 2005 to October 2006. From August 2005 to December 2008, she carried out his postdoctoral research with the Department of Chemical Engineering and Technology, China University of Petroleum. Since April 1995, she has been with Northeast Petroleum University, where she is currently a Professor and PhD supervisor of the Research Institute of Control Science and Engineering. Prof. Li's research interests include network based control, robust control/filtering theory and their engineering applications.