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폴리토픽 모델을 위한 PI 형 H∞ 제어기의 LMI 기반 설계
최한호,Choi, Han-Ho 제어로봇시스템학회 2009 제어·로봇·시스템학회 논문지 Vol.15 No.3
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.
비정합 불확실성을 갖는 시스템을 위한 적분 슬라이딩 모드 제어기의 LMI 기반 설계
최한호(Han Ho Choi) 대한전기학회 2010 전기학회논문지 Vol.59 No.8
This paper presents an LMI-based method to design an integral sliding mode controller for for a class of uncertain systems with mismatched unstructured uncertainties. The uncertain system under consideration may have mismatched parameter uncertainties in the state matrix as well as in the input matrix. Using LMIs we derive an existence condition of a sliding surface. And we give a switching feedback control law. Finally, we give a numerical design example in order to show that the proposed method can be better than the existing results.
저차 출력 궤환 슬라이딩 모드 제어기의 LMI 기반 설계법
최한호(Han Ho Choi) 대한전기학회 2009 전기학회논문지 Vol.58 No.8
This paper presents an LMI-based method to design a reduced order output feedback sliding mode controller for a class of uncertain systems. Using LMIs we derive an existence condition of a reduced order sliding mode control law. And we give explicit formulas of the gain matrices. Finally, we give a numerical design example, together with a design algorithm.
크기가 제한된 제어기를 갖는 비정합 불확실성의 가변구조 시스템을 위한 점근 안정 영역 추정
崔漢浩(Han Ho Choi) 대한전기학회 2007 전기학회논문지 Vol.56 No.3
We propose a method to estimate the asymptotic stability region(ASR) of a mismatched uncertain variable structure system with a bounded controller. The uncertain system under consideration may have mismatched parameter uncertainties in the state matrix. Using linear matrix inequalities(LMIs) we estimate the ASR and we show the quadratic stability of the closed-loop control system in the estimated ASR. We also give a simple LMI-based algorithm for estimating the ASR. Finally, we give a numerical example in order to show the effectiveness of our method.