Robust Proportional-Integral Observer for Switched Systems
Liu Xing-Long and Duan Guang-Ren
Center for Control Theory and Guidance Technology Harbin Institute of Technology Harbin, China E-mail: lxl8333205@sohu.com
Pages: 100-112
Abstract
This paper deals with proportional-integral observer (PI-observer) design and robust control for switched systems under arbitrary switching sequences. The proposed approach detects the existence of a switched quadratic Lyapunov function to check the asymptotic stability of switched systems. Two equivalent conditions that can guarantee the PI-observers to track the state signal are developed. Based on these conditions, we synthesize the PI-observer-based state-feedback controller stabilizing the closed-loop system. Moreover, a state-feedback controller based on a PI-observer is developed to stabilize the switched systems with uncertainties. Numerical evaluation illustrates feasibility and advantage of the PI-observer for switched systems
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