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http://dx.doi.org/10.5302/J.ICROS.2002.8.11.907

Robust Controller Design for Non-square Linear Systems Using a Passivation Approach  

손영익 (동아대학교 전기전자컴퓨터공학부)
Publication Information
Journal of Institute of Control, Robotics and Systems / v.8, no.11, 2002 , pp. 907-915 More about this Journal
Abstract
We present a state-space approach to design a passivity-based dynamic output feedback control of a finite collection of non-square linear systems. We first determine a squaring gain matrix and an additional dynamics that is connected to the systems in a feedforward way, then a static passivating (i.e. rendering passive) control law is designed. Consequently, the actual feedback controller will be the static control law combined with the feedforward dynamics. A necessary and sufficient condition for the existence of the parallel feedfornward compensator (PFC) is given by the static output feedback fomulation, which enables to utilize linear matrix inequality (LMI). The effectiveness of the proposed method is illustrated by some examples including the systems which can be stabilized by the proprotional-derivative (PD) control law.
Keywords
(feedback) passivity; simultaneous stabilization; non-square system; parallel feedforward compensation; static output feedback;
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Times Cited By KSCI : 1  (Citation Analysis)
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