Title of Paper:Design of multiple-mode observer and multiple-mode controller for switched positive linear systems

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Date of Publication:2019-06-11

Journal:IET CONTROL THEORY AND APPLICATIONS

Included Journals:SCIE、EI

Volume:13

Issue:9,SI

Page Number:1320-1328

ISSN No.:1751-8644

Key Words:observers; uncertain systems; closed loop systems; linear programming; control system synthesis; linear systems; feedback; robust control; switching systems (control); multiple-mode observer; multiple-mode controller; linear programming approach; robust multiple-mode interval observer; multiple-mode output-feedback controller; uncertain parameters; closed-loop system; uncertain switched positive linear system

Abstract:In this study, the design problem of multiple-mode observer and multiple-mode controller is studied for switched positive linear systems. By proposing a new design approach for a class of switched positive linear system, numerical conditions for the existence of multiple-mode observer and multiple-mode controller are presented by using linear programming approach. First, a multiple-mode observer is designed such that the error system is exponentially stable. Next, a robust multiple-mode interval observer is presented for uncertain switched positive systems with uncertain parameters. In the sequel, a multiple-mode output-feedback controller is designed such that the closed-loop system is exponentially stable. Compared with the existing references, the design method can bring out lower computational burden. Finally, three examples are given to show the effectiveness of the authors' results.