Guaranteed Cost Finite-Time Control of Discrete-Time Positive Impulsive Switched Systems. (16th April 2018)

• Record Type: Journal Article
• Authors: Liu, Leipo; Xing, Hao; Cao, Xiangyang; Fu, Zhumu; Song, Shuzhong
• Other Names: Giesl Peter Academic Editor.
• Is Part Of: Complexity. Volume 2018(2018)
• Publication Date: 2018-04-16
• Subjects: Chaotic behavior in systems -- Periodicals; Complexity (Philosophy) -- Periodicals; 003
• DOI: 10.1155/2018/5790681
• Languages: English
• ISSNs: 1076-2787

Abstract

Abstract : This paper considers the guaranteed cost finite-time boundedness of discrete-time positive impulsive switched systems. Firstly, the definition of guaranteed cost finite-time boundedness is introduced. By using the multiple linear copositive Lyapunov function (MLCLF) and average dwell time (ADT) approach, a state feedback controller is designed and sufficient conditions are obtained to guarantee that the corresponding closed-loop system is guaranteed cost finite-time boundedness (GCFTB). Such conditions can be solved by linear programming. Finally, a numerical example is provided to show the effectiveness of the proposed method.