Technical Communique: Observer-based positive real control of uncertain linear systems

Authors:
Magdi S. Mahmoud;Yeng C. Soh;Lihua Xie
Affiliations:
Department of Electrical and Computer Engineering, Kuwait University, P.O. Box 5969, Safat-13060, Kuwait;School of Electrical and Electronic Engineering, Nanyang Technological University, Nanyang Avenue, Singapore 639798, Singapore;School of Electrical and Electronic Engineering, Nanyang Technological University, Nanyang Avenue, Singapore 639798, Singapore
Venue:
Automatica (Journal of IFAC)
Year:
1999

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Abstract

This paper is concerned with the positive control problem for a class of linear systems with norm-bounded uncertainties. We address the problem of designing observer-based dynamic output-feedback controllers that robustly stabilize the uncertain system and achieve the extended strict positive realness for a given closed-loop transfer function. By casting the problem at hand into a class of strict positive real control problems with scaling parameters, an uncertainty-independent solution is then establised and expressed in linear matrix inequalities format.