Delay-dependent observer-based H-infinity finite-time control for switched systems with time-varying delay

作者：Liu, Hao^*; Shen, Yi; Zhao, Xudong

来源：Nonlinear Analysis: Hybrid Systems , 2012, 6(3): 885-898.

DOI：10.1016/j.nahs.2012.03.001

• Switched systems
• Observer-based control
• Time-varying delay
• ADT
• Finite-time stabilization

This paper is concerned with the problem of observer design for switched linear systems with time-varying delay and exogenous disturbances. The attention is focused on designing the full-order observers that guarantee the finite-time bounded and H-infinity finite-time stability of the dynamic augmented system. Based on linear matrix inequalities (LMIs) technology and an average dwell time (ADT) approach, sufficient conditions which ensure the observer-based finite-time bounded and H-infinity finite-time stability are given, respectively. By using a state observer, the memory state feedback controller is designed to finite-time stabilize a time-delay switched system, and the conditions are formulated in terms of delay-dependent LMIs. An example is given to illustrate the efficiency of the proposed methods.

• 出版日期2012-8
• 单位中国石油大学（北京）; 哈尔滨工业大学