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A novel stability analysis method of switched systems with unstable modes based on PDT switching sequence list
Wanchen Wang1, Jie Lian1, Peilin Jia1
1Key Laboratory of Intelligent Control and Optimization for Industrial Equipment, Ministry of Education, and the School of Control Science and Engineering, Dalian University of Technology, Dalian 116024, China.
None:
This paper investigates the stability problem of switched systems with unstable modes under persistent dwell time (PDT) constraint. A novel PDT switching sequence list concept is presented to fully describe all possible PDT-constrained switching sequences. Based on this list, a relevant switched system is introduced, whose stability is equivalent to the original switched system. By constructing PDT sequence-dependent and inner-varying Lyapunov functions, two types of equivalent stability conditions are established, which effectively circumvent the complex process of subsystem parameter adjustments. Finally, two numerical simulations show the effectiveness of the proposed method.
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