Input-Output Finite-Time Control of Positive Switched Systems with Time-Varying and Distributed Delays. (6th March 2017)

• Record Type: Journal Article
• Authors: Liu, Leipo; Cao, Xiangyang; Fu, Zhumu; Song, Shuzhong
• Other Names: Wu Ai-Guo Academic Editor.
• Is Part Of: Journal of control science and engineering. Volume 2017(2017)
• Publication Date: 2017-03-06
• Subjects: Control theory -- Periodicals; 629.831205
• DOI: 10.1155/2017/4896764
• Languages: English
• ISSNs: 1687-5249

Abstract

Abstract : The problem of input-output finite-time control of positive switched systems with time-varying and distributed delays is considered in this paper. Firstly, the definition of input-output finite-time stability is extended to positive switched systems with time-varying and distributed delays, and the proof of the positivity of such systems is also given. Then, by constructing multiple linear copositive Lyapunov functions and using the mode-dependent average dwell time (MDADT) approach, a state feedback controller is designed, and sufficient conditions are derived to guarantee that the corresponding closed-loop system is input-output finite-time stable (IO-FTS). Such conditions can be easily solved by linear programming. Finally, a numerical example is given to demonstrate the effectiveness of the proposed method.