Stability analysis and stabilization synthesis of singularly perturbed switched systems: An average dwell time approach

• Main Authors: Lei Ma, Chenxiao Cai
• Format: Article
• Language: English
• Published: Taylor & Francis Group 2016-12-01
• Series: Cogent Engineering
• Subjects: singularly perturbed switched system; average dwell time; stability analysis; stabilization synthesis
• Online Access: http://dx.doi.org/10.1080/23311916.2016.1276875

Stability analysis and stabilization synthesis problems of the singularly perturbed switched systems (SPSSs) are investigated in this paper. First, stability of the SPSS with stable subsystems is discussed by using an average dwell time approach with a full-order piecewise Lyapunov function. Then, the result is extended to the situation that not all the subsystems are Hurwitz stable. Furthermore, state feedback controllers are designed when all subsystems are stabilizable, and the design method is extended to the situation that not all subsystems are stabilizable. Finally, two examples are given to demonstrate the validity and effectiveness of the proposed methods.