Output regulation for a class of positive switched systems. Issue 8 (May 2019)

• Record Type: Journal Article
• Authors: Wang, Peng; Ma, Dan; Zhao, Jun
• Is Part Of: Journal of the Franklin Institute. Volume 356:Issue 8(2019)
• Page Start: 4513
• Page End: 4529
• Publication Date: 2019-05
• Subjects: Science -- Periodicals; Technology -- Periodicals; Patents -- United States -- Periodicals; 505
• DOI: 10.1016/j.jfranklin.2018.12.029
• Languages: English
• ISSNs: 0016-0032

Abstract

Abstract: In this paper, a complete procedure for the study of the output regulation problem is established for a class of positive switched systems utilizing a multiple linear copositive Lyapunov functions scheme. The feature of the developed approach is that each subsystem is not required to has a solution to the problem. Moreover, two types of controllers and switching laws are devised. The first one depends on the state together with the external input and the other depends only the error. The conditions ensuring the solvability of the problem for positive switched systems are presented in the form of linear matrix equations plus linear inequalities under some mild constraints. Two examples are finally given to show the performance of the proposed control strategy.