Journal of Institute of Control, Robotics and Systems (제어로봇시스템학회논문지)

Institute of Control, Robotics and Systems (제어로봇시스템학회)
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LMI-based Design of PI-type H∞ Controller for Poly topic Models

폴리토픽 모델을 위한 PI 형 H∞ 제어기의 LMI 기반 설계

  • 최한호 (동국대학교 전기공학과)
  • Published : 2009.03.01
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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.

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References

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