Asynchronous H_∞ filtering for linear switched systems with average dwell time

Abstract

This paper is concerned with the H_∞ filtering problem for a class of continuous-time linear switched systems with the asynchronous behaviours, where ‘asynchronous’ means that the switching of the filters to be designed has a lag to the switching of the system modes. By using the Lyapunov-like functions and the average dwell time technique, a sufficient condition is obtained to guarantee the asymptotic stability with a weighted H_∞ performance index for the filtering error system. Moreover, the results are formulated in the form of linear matrix inequalities that are numerical feasible. As a result, the filter design problem is solved. Finally, an illustrative numerical example is presented to show the effectiveness of the results.

Keywords:

• H_∞ filtering
• asynchronous switching
• asymptotic stability
• average dwell time

Disclosure statement

No potential conflict of interest was reported by the authors.

Additional information

Funding

The work was supported in part by the National Natural Science Foundation of China [grant number 61374117], [grant number 61004048], [grant number 61174137], [grant number 61104064]; the General Research Fund: CityU 101113 of Hong Kong Special Administrative Region Government, the National Science Foundation of Jiang Su Province [grant number BK2010493]; the 973 project [grant number 2011CB707000]; the Science and Technology Department of Sichuan Province [grant number 2014GZ0156]; the China Postdoctoral Science Foundation funded project [grant number 2012M510135].

Notes on contributors

Bo Wang

Bo Wang received his ME degree in circuits and systems from University of Electronic Science and Technology of China, Chengdu, in 2014. He is currently working towards his PhD degree in control theory and engineering at Southeast University, Nanjing, China. His research interests include consensus problems of multi-agent systems, switched systems.

Hongbin Zhang

Hongbin Zhang received the BEng degree in aerocraft design from Northwestern Polytechnical University, Xi'an, China, in 1999, and the MEng and PhD degrees in circuits and systems from the University of Electronic Science and Technology of China, Chengdu, in 2002 and 2006, respectively. He has been with the School of Electrical Engineering, University of Electronic Science and Technology of China, since 2002, where he is currently a professor. From August 2008 to August 2010, he has served as a research fellow with the Department of Manufacturing Engineering and Engineering Management, City University of Hong Kong, Kowloon, Hong Kong. His current research interests include intelligent control, autonomous cooperative control and integrated navigation.

Gang Wang

Gang Wang received the BE degree in communication engineering and the PhD degree in biomedical engineering from University of Electronic Science and Technology of China, Chengdu, China, in 1999 and 2008, respectively. He is currently the associate professor of Institute of Intelligent Systems and Information Technology, School of Electronic Engineering, University of Electronic Science and Technology of China. His current research interests include nonlinear signal processing and intelligent systems.

Chuangyin Dang

Chuangyin Dang received his PhD degree in operations research/economics from Tilburg University, The Netherlands, in 1991. He is currently theassociate professor at City University of Hong Kong. He is best known for developing the D1-triangulation of the Euclidean space and simplicial and fixed-pointiterative methods for integer programming. His research interests include computational optimisationand applications, logistics and supply chain management, and mathematical modelling and analysis in economics and engineering systems.