Output tracking control of cascade switched nonlinear systems

Abstract

The output tracking problem for cascade switched nonlinear systems is studied based on the average dwell time method in this paper. Sufficient conditions for this problem to be solvable are derived, where the zero dynamics is unstabilisable under an arbitrary switching. When the switching signal satisfies an average dwell time scheme, H_∞ output tracking is achieved by virtue of a designed switched integral controller. A numerical example is illustrated to show the effectiveness of the main result.

Keywords:

• output tracking
• PI controller
• cascade switched nonlinear systems
• average dwell time

Acknowledgements

This work was supported by the National Natural Science Foundation of China under Grant Nos. 61174073 and 90816028.

Additional information

Notes on contributors

Xiaoxiao Dong

Xiaoxiao Dong received her BS degree in Mathematics and Applied Mathematics from Liaoning Normal University, Dalian, China, in 2006, MS degree in System Analysis and Integration from University of Shanghai for Science and Technology, Shanghai, China, in 2009 and the PhD degree in Control Theory and Applications from the Northeastern University, Shenyang, in 2013. Her research interests include switched systems and nonlinear control systems.

Jun Zhao

Jun Zhao received the BS and MS degrees in Mathematics from Liaoning University, Shenyang, China, in 1982 and 1984, respectively, and the PhD degree in Control Theory and Applications from the Northeastern University, Shenyang, in 1991. From 1992 to 1993, he was a Postdoctoral Fellow at the Northeastern University, where since 1994, he has been with the School of Information Science and Engineering, and is currently a Professor. From February 1998 to February 1999, he was a Senior Visiting Scholar at the Coordinated Science Laboratory, University of Illinois, Urbana-Champaign. From November 2003 to May 2005, he was a Research Fellow in the Department of Electronic Engineering, City University of Hong Kong. Since November 2006, he has also been with the Department of Information Engineering, Research School of Information Sciences and Engineering, the Australian National University, Canberra, ACT, Australia, as a Fellow. His current research interests include switched systems, hybrid control, nonlinear systems and robust control.