Title of Paper:New approaches to positive observer design for discrete-time positive linear systems

Hits:

Date of Publication:2018-07-01

Journal:JOURNAL OF THE FRANKLIN INSTITUTE-ENGINEERING AND APPLIED MATHEMATICS

Included Journals:SCIE

Volume:355

Issue:10

Page Number:4336-4350

ISSN No.:0016-0032

Abstract:This paper aims at providing new design approaches for positive observers of discrete-time positive linear systems based on a construction method of linear copositive Lyapunov function for positive systems. First, an efficient positive observer design approach is proposed by using linear programming such that the observer error system is exponentially stable. Furthermore, an interval observer design is proposed for uncertain positive systems. Then, the results are extended to positive time delay systems. In contrast with the previous design approaches, the new design method provides a general observer design with lower computational burden. Finally, three comparison examples are given to show the merit of the new design approach. (C) 2018 The Franklin Institute. Published by Elsevier Ltd. All rights reserved.