Guaranteed Cost Finite-Time Control of Discrete-Time Positive Impulsive Switched Systems

Leipo Liu, Hao Xing, Xiangyang Cao, Zhumu Fu and Shuzhong Song

Complexity, 2018, vol. 2018, 1-8

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.

Date: 2018
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Persistent link: https://EconPapers.repec.org/RePEc:hin:complx:5790681

DOI: 10.1155/2018/5790681

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