Average dwell time approach to finite-time stabilization of switched singular linear systems

作者:Wang Yijing; Zou Yanchao; Liu Yuhua; Shi Xiaomeng; Zuo Zhiqiang*
来源:Journal of the Franklin Institute, 2015, 352(7): 2920-2933.
DOI:10.1016/j.jfranklin.2015.05.022

摘要

This paper is concerned with the finite-time stabilization problem for a class of switched singular linear systems. The dynamic decomposition technique is utilized to convert such a problem to an equivalent one for the reduced-order switched normal system with state jumps. The average dwell time approach is proposed which ensures the system's state trajectory remaining in a bounded region of the state space over a pre-specified finite-time interval. To further reduce the conservatism, the mode-dependent average dwell time method is adopted. Finally, two numerical examples are given to show the validity and potential of the developed methods.