LMI-based design of PI-type H ∞ controller for polytopic models

Han Ho Choi

doi:10.5302/J.ICROS.2009.15.3.255

LMI-based design of PI-type H _∞ controller for polytopic models

Han Ho Choi

Department of Electronics & Electrical Engineering

Research output: Contribution to journal › Article › peer-review

Abstract

The robust stabilization problem of a multivariable uncertain system with a polytopic model is considered. A PI-type H _∞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.

Original language	English
Pages (from-to)	255-257
Number of pages	3
Journal	Journal of Institute of Control, Robotics and Systems
Volume	15
Issue number	3
DOIs	https://doi.org/10.5302/J.ICROS.2009.15.3.255
State	Published - Mar 2009

Keywords

LMI (Linear Matrix Inequality)
PI control
Robust control
Uncertain system

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abstract = "The robust stabilization problem of a multivariable uncertain system with a polytopic model is considered. A PI-type H ∞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.",

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AB - The robust stabilization problem of a multivariable uncertain system with a polytopic model is considered. A PI-type H ∞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.

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KW - PI control

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KW - Uncertain system

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LMI-based design of PI-type H _∞ controller for polytopic models

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Keywords

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