Output feedback controller for polytopic systems exploiting the direct searching of the design space. (26th July 2019)

• Record Type: Journal Article
• Authors: Abolpour, Roozbeh; Dehghani, Maryam; Talebi, Heidar Ali
• Other Names: Quevedo Daniel E. guestEditor.; Chatterjee Debasish guestEditor.
• Is Part Of: International journal of robust and nonlinear control. Volume 29:Number 15(2019)
• Page Start: 5164
• Page End: 5177
• Publication Date: 2019-07-26
• Subjects: exposed edges -- output feedback controller -- parametric uncertain systems -- polytopic systems -- stability of polynomial convex spaces; Automatic control -- Periodicals; Control theory -- Periodicals; Nonlinear systems -- Periodicals; 629.836
• DOI: 10.1002/rnc.4673
• Languages: English
• ISSNs: 1049-8923

Abstract

Summary: This paper deals with the problem of designing a robust static output feedback controller for polytopic systems. The current research that tackled this problem is mainly based on LMI method, which is conservative by nature. In this paper, a novel approach is proposed, which considers the design space of the controller parameters and iteratively partitions the space to small simplexes. Then, by assessing the stability in each simplex, the solution space for design parameters is directly determined. It has been theoretically proved that, if there exists a feasible solution in the design space, the algorithm can find it. To validate the result of the proposed approach, comparative simulation examples are given to illustrate the performance of the design methodology as compared to those of previous approaches.