Exponential stability and H∞ control of uncertain singular nonlinear switched systems with impulsive perturbations

• Published in: International journal of systems science Vol. 50; no. 13; pp. 2424 - 2436
• Main Authors: Zhan, Tao, Ma, Shuping, Liu, Xinzhi, Chen, Hao
• Format: Journal Article
• Language: English
• Published: London Taylor & Francis 03.10.2019; Taylor & Francis Ltd
• Subjects: Control stability; Control systems; Exponential stability; Feedback control; H-infinity control; impulsive perturbations; Nonlinear control; Nonlinear systems; Robust control; Robustness (mathematics); singular switched systems; Stability criteria; System effectiveness
• ISSN: 0020-7721; 1464-5319
• DOI: 10.1080/00207721.2019.1615572

This paper investigates the problems of exponential stability and robust control for a general class of uncertain singular nonlinear switched systems subject to impulsive perturbations. An effective computational method is introduced for designing switched linear feedback controllers, which is based on the novel conditions on the solvability of the control problem. The idea for decomposing the singular impulsive increments is applied in this development, which establishes some criteria on exponential stability. Comparing with some existing results on singular switched systems, this design is not only less conservative but also with reduced computational complexity. In addition, the effectiveness of the proposed approach is illustrated by numerical examples.