H_∞ Adaptive tracking control for switched systems based on an average dwell-time method

Abstract

This paper investigates the H_∞ state tracking model reference adaptive control (MRAC) problem for a class of switched systems using an average dwell-time method. First, a stability criterion is established for a switched reference model. Then, an adaptive controller is designed and the state tracking control problem is converted into the stability analysis. The global practical stability of the error switched system can be guaranteed under a class of switching signals characterised by an average dwell time. Consequently, sufficient conditions for the solvability of the H_∞ state tracking MRAC problem are derived. An example of highly manoeuvrable aircraft technology vehicle is given to demonstrate the feasibility and effectiveness of the proposed design method.

Keywords:

• switched systems
• model reference adaptive control
• H∞ control
• average dwell time

Acknowledgements

The authors are grateful to the associate editor and the anonymous reviewers for their valuable comments and suggestions for further improving the quality of this article.

Additional information

Funding

This work was supported by the Chinese National Fundamental Research Program [grant number 2009CB320601]; National Natural Science Foundation of China [grant number 61233002], [grant number 61174073].

Notes on contributors

Caiyun Wu

Caiyun Wu is a PhD candidate at the College of Information Science and Engineering, Northeastern University. She received the BS and MS degrees in Automation in 1999 and 2002, respectively, both from Shenyang Ligong University, China. Her main research interests include switched systems and adaptive control.

Jun Zhao

Jun Zhao received the BS and MS degrees in mathematics in 1982 and 1984, respectively, both from Liaoning University, China. He completed his PhD in Control Theory and Applications in 1991 at Northeastern University, China. From 1992 to 1993, he was a postdoctoral fellow at the same University. Since 1994, as a professor, he has been with College of Information Science and Engineering, Northeastern University, China. From 1998 to 1999, he was a senior visiting scholar at the Coordinated Science Laboratory, University of Illinois at Urbana-Champaign, USA. From November 2003 to May 2005, he was a Research Fellow at Department of Electronic Engineering, City University of Hong Kong. During 2007–2010, he was a Fellow at School of Engineering, Australian National University. His main research interests include switched systems, nonlinear systems and network synchronisation.