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퍼지 기저함수에 종속적인 Lyapunov 함수를 이용한 T-S 퍼지 시스템의 H<SUB>∞</SUB> 제어
최현철(Hyoun-Chul Choi),좌동경(DongKyoung Chwa),홍석교(Suk-Kyo Hong) 제어로봇시스템학회 2008 제어·로봇·시스템학회 논문지 Vol.14 No.7
This paper proposes an H∞ controller design method for Takagi-Sugeno (T-S) fuzzy systems using a fuzzy basis-function-dependent Lyapunov function. Sufficient conditions for the guaranteed H∞ performance of the T-S fuzzy control system are given in terms of linear matrix inequalities (LMIs). These LMI conditions are further used for a convex optimization problem in which the H∞ -norm of the closed-loop system is to be minimized. To facilitate the basis-function-dependent Lyapunov function approach and thus improve the closed-loop system performance, additional decision variables are introduced in the optimization problem, which provide an additional degree-of-freedom and thus can enlarge the solution space of the problem. Numerical examples show the effectiveness of the proposed method.
구동기포화를 갖는 불확실한 시스템의 H<sub>2</sub> 제어
최현철,홍석교,좌동경,Choi, Hyoun-Chul,Hong, Suk-Kyo,Chwa, Dong-Kyoung 제어로봇시스템학회 2007 제어·로봇·시스템학회 논문지 Vol.13 No.10
This paper presents an LMI-based method to design a saturated state-feedback $H_2$ controller for uncertain systems with actuator saturation. Specifically, the paper proposes a sufficient condition such that the system under norm-bounded uncertainties and actuator saturation is asymptotically stable and the $H_2$-norm of the system has an upper-bound. The resulting condition is further utilized to solve a convex optimization problem specified in the context of $H_2$-norm minimization, whose solution yields a saturated $H_2$ controller. A numerical example is presented to show the effectiveness of the proposed method.
파라미터에 종속적인 리아푸노프 함수 기법에 의한 불확실 시간지연 시스템을 위한 강인한 L₂-L<SUB>∞</SUB> 필터 설계
최현철(Hyoun-Chul Choi),정진우(Jinwoo Jung),심형보(Hyungbo Shim),서진헌(Jin H. Seo) 대한전기학회 2008 대한전기학회 학술대회 논문집 Vol.2008 No.10
An LMI-based method for robust L₂-L<SUB>∞</SUB> filter design is proposed for poly topic uncertain time-delay systems. By using the Projection Lemma and a suitable linearizing transformation, a strict LMI condition for L₂-L<SUB>∞</SUB> filter design is obtained, which does not involve any iterations for design-parameter search, any couplings between the Lyapunov and system matrices, nor any system-dependent filter parameterization. Therefore, the proposed condition enables one to easily adopt, with help of efficient numerical solvers, a parameter-dependent Lyapunov function approach for reducing conservatism, and to design both robust and parameter dependent filters for uncertain and parameter-dependent time-delay systems, respectively.
최현철(Hyoun-Chul Choi),김수범(Subum Kim),김성준(Seongjun Kim),심형보(Hyungbo Shim),서진헌(Jin Heon Seo) 대한전기학회 2009 정보 및 제어 심포지엄 논문집 Vol.2009 No.5
This paper deals with the consensus problem for multi-agent linear dynamic systems with communication delay. All the agents are identical high -order linear systems and their state information is exchanged through a communication network with constant communication delay. It is shown that a consensus is achieved if there exists a feasible solution to a set of linear matrix inequalities obtained for a simultaneous stabilization problem for multiple systems with delay. A numerical example is presented to show the effectiveness of the proposed method.
스토캐스틱 시간지연 시스템을 위한 동적 출력궤환 제어기 설계
최현철(Hyoun-Chul Choi),정진우(Jinwoo Jung),심형보(Hyungbo Shim),서진헌(Jin H. Seo) 대한전기학회 2008 대한전기학회 학술대회 논문집 Vol.2008 No.10
This paper proposes a method for dynamic output-feedback controller design for stochastic time-delay systems. Based on recent results on time-delay systems control, a tractable and delay dependent design condition is proposed, which provides a dynamic output-feedback controller to render the closed-loop stochastic time-delay systems to be asymptotically stable in the mean-square sense. The feasibility problem of the proposed condition is recast into a cone complementarity problem. An algorithm adopting cone complementarity linearization is presented to solve the resulting problem.
LMI 기법을 이용한 방향성 통신 토폴로지를 갖는 고차 선형시스템들의 상태일치
김수범,최현철,이성훈,김강석,주성열,홍우영,Kim, Su-Bum,Choi, Hyoun-Chul,Lee, Sung-Hun,Kim, Kang-Seok,Joo, Seoung-Yul,Hong, Woo-Young 한국군사과학기술학회 2011 한국군사과학기술학회지 Vol.14 No.5
This paper deals with the consensus problem for multi-agent linear dynamic systems with directed communication topology. All the agents are identical high-order linear systems and their state information is exchanged through a communication network with directed graph. It is shown that a consensus is achieved if there exists a feasible solution to a set of linear matrix inequalities obtained for a simultaneous stabilization problem for multiple systems. Examples are presented to show the effectiveness of the proposed method.