Title: A full order observer-based guaranteed cost controller for uncertain linear systems

Authors: Erwin Susanto; Daisuke Matsunaga; Mitsuaki Ishitobi; Sadaaki Kunimatsu

Addresses: Department of Mechanical Systems Engineering, Kumamoto University, Kumamoto 860-8555, Japan. ' Department of Mechanical Systems Engineering, Kumamoto University, Kumamoto 860-8555, Japan. ' Department of Mechanical Systems Engineering, Kumamoto University, Kumamoto 860-8555, Japan. ' Department of Mechanical Systems Engineering, Kumamoto University, Kumamoto 860-8555, Japan

Abstract: In this paper, a design scheme of a full order observer-based guaranteed cost controller for uncertain linear systems, in which all state variables cannot be known, is presented. The perturbations in system states and input are assumed to be described by structural uncertainties. An iterative linear matrix inequality (ILMI) approach is used to design the observer-based controller since the problems contain inverse relations. A numerical example is given to illustrate the proposed method.

Keywords: full order observer-based control; guaranteed cost; iterative LMI; linear matrix inequality; ILMI; uncertain linear systems; uncertainty.

DOI: 10.1504/IJAMECHS.2011.043372

International Journal of Advanced Mechatronic Systems, 2011 Vol.3 No.4, pp.243 - 250

Published online: 18 Mar 2015 *

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