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http://dx.doi.org/10.5302/J.ICROS.2009.15.3.255

LMI-based Design of PI-type H∞ Controller for Poly topic Models  

Choi, Han-Ho (동국대학교 전기공학과)
Publication Information
Journal of Institute of Control, Robotics and Systems / v.15, no.3, 2009 , pp. 255-257 More about this Journal
Abstract
The robust stabilization problem of a multivariable uncertain system with a polytopic model is considered. A PI-type $H_{\infty}$ controller with a low pass filter is used for robust stabilization and noise rejection. The problem is reduced to an LMI optimization problem. A sufficient condition for the existence of the PI controller is derived in terms of LMIs. The PI gain matrices are parameterized by using the solution matrices to the existence conditions. Finally, a numerical design example is given.
Keywords
LMI (Linear Matrix Inequality); PI control; robust control; uncertain system;
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Times Cited By KSCI : 1  (Citation Analysis)
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