Robust asynchronous bumpless transfer for switched linear systems

Abstract

This study is concerned with the asynchronous bumpless transfer (ABT) problem for a class of switched linear systems with external disturbances. Asynchronous switching or transfer implies that the transfers between sub-controllers and between sub-plants are asynchronous, and ABT is to ensure that there is no controller/plant-induced bumps or undesirable transients to the process. Specifically, the ABT process is first divided into two parts: robust performance bumpless transfer (RPBT) between sub-plants and robust control bumpless transfer (RCBT) between sub-controllers. Then, with a set of pre-given sub-plants under disturbances and corresponding sub-controllers, the RPBT and RCBT design schemes are, respectively, proposed. The designed RPBT and RCBT compensators are based on model reference adaptive sliding mode control such that the switched system can perform smooth transitions during the whole asynchronous switching process. Furthermore, by using average dwell time technique, the condition for guaranteeing the switched closed-loop system to be stable under ABT is developed. Finally, numerical simulations demonstrate the effectiveness of the proposed method.

Keywords:

• switched systems
• asynchronous switching
• bumpless transfer
• adaptive sliding mode control

Acknowledgements

The authors would like to thank the editor and the reviewers for their valuable comments and suggestions that have significantly improved the quality of this paper.

Disclosure statement

No potential conflict of interest was reported by the authors.

Additional information

Funding

This work is supported in part by the National Natural Science Foundation of China [grant number 61403261],[grant number 91216105],[grant number 91116001], the Aeronautical Science Foundation of China [grant number 2014ZC54014], the China Scholarship Council [grant number 201408210023], the Doctoral Scientific Research Foundation of Liaoning Province [grant number 20141077], and the Scientific Research Fund of Liaoning Provincial Education Department [grant number L2013065].