L1 Input-Output Finite-Time Control of Positive Switched Nonlinear Systems. (7th August 2019)

• Record Type: Journal Article
• Authors: Liu, Leipo; Cao, Xiangyang; Fan, Bo; Fu, Zhumu
• Other Names: Mehdi Driss Academic Editor.
• Is Part Of: Mathematical problems in engineering. Volume 2019(2019)
• Publication Date: 2019-08-07
• Subjects: Engineering mathematics -- Periodicals; 510.2462
• DOI: 10.1155/2019/9132906
• Languages: English
• ISSNs: 1024-123X

Abstract

Abstract : In this paper, the problem ofL 1 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 ofL 1 input-output finite-time stability (L 1 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 isL 1 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.