Input-Output Finite-Time Control of Positive Switched Nonlinear Systems

Leipo Liu, Xiangyang Cao, Bo Fan and Zhumu Fu

Mathematical Problems in Engineering, 2019, vol. 2019, 1-10

Abstract:

In this paper, the problem of input-output finite-time control of positive switched nonlinear systems with time-varying and distributed delays is investigated. Nonlinear functions considered in this paper are located in a sector field. Firstly, the proof of the positivity of switched positive nonlinear systems with time-varying and distributed delays is given, and the concept of input-output finite-time stability ( IO-FTS) is firstly introduced. Then, by constructing multiple co-positive-type nonlinear Lyapunov functions and using the average dwell time (ADT) approach, a state feedback controller is designed and sufficient conditions are derived to guarantee the corresponding closed-loop system is IO-FTS. Such conditions can be easily solved by linear programming. Finally, a numerical example is provided to demonstrate the effectiveness of the proposed method.

Date: 2019
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Persistent link: https://EconPapers.repec.org/RePEc:hin:jnlmpe:9132906

DOI: 10.1155/2019/9132906

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