Please use this identifier to cite or link to this item: http://hdl.handle.net/2440/83341
Type: Journal article
Title: Guaranteed cost and positive real control of uncertain systems via static output feedback
Author: Xia, Y.
Chen, J.
Shi, P.
Liu, G.P.
Rees, D.
Citation: International Journal of Innovative Computing, Information and Control, 2008; 4(6):1275-1281
Publisher: ICIC International
Issue Date: 2008
ISSN: 1349-4198
Statement of
Responsibility: 
Yuanqing Xia and Jie Chen, Peng Shi, Guoping Liu and David Rees
Abstract: This paper focuses on the problem of guaranteed cost and positive real control for a class of linear systems which are subjected to mixed structured bounded uncertainty and unbounded unknown nonlinearities in the state equation. Sufficient conditions in terms of linear matrix inequalities (LMIs) and linear matrix equalities (LMEs) are presented for the existence of a static output feedback controller, that makes the resulting closed-loop system quadratically strict positive real and minimizes the upper bound for a given cost function. A numerical example is included to illustrate effectiveness of the theoretic results obtained.
Keywords: Strict positive realness; Uncertain systems; Robust control; Quadratic stability; Linear matrix inequality
Rights: ICIC International © 2008
RMID: 0020128090
Published version: http://www.ijicic.org/07-080-1.pdf
Appears in Collections:Electrical and Electronic Engineering publications

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