Observer-based positive real control of uncertain linear systems

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 realne...

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Veröffentlicht in:Automatica (Oxford) 1999, Vol.35 (4), p.749-754
Hauptverfasser: Mahmoud, Magdi S., Soh, Yeng C., Xie, Lihua
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creator Mahmoud, Magdi S.
Soh, Yeng C.
Xie, Lihua
description 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.
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subjects Applied sciences
Computer science
control theory
systems
Control system synthesis
Control theory. Systems
Exact sciences and technology
Linear systems
Positive real control
Robust stability
Uncertain dynamic systems
title Observer-based positive real control of uncertain linear systems
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