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H<SUB>∞</SUB> Finite Memory Controls for Linear Discrete-Time Systems
Hyoun-Chul Choi,Soohee Han 제어로봇시스템학회 2010 제어로봇시스템학회 국제학술대회 논문집 Vol.2010 No.10
In this paper, we propose output-feedback finite memory controls (FMC) for a H∞ criterion. Unlike conventional infinite memory controls with internal states, the proposed FMC is required to utilize only inputs and outputs on the recent finite time instead of using an internal state involved with old data. The H∞ criterion is employed to obtain FMCs robust to uncertain disturbances. An augmented model with the FMC and a system is first constructed and then the optimization problems are represented with bilinear matrix inequalities (BMI) to solve numerically. Using the cone complementarity linearization (CCL) algorithm, we provide a numerical solution. It was shown in a numerical example that the proposed FMC has better performance than other controls including static controls and infinite memory controls.
An LMI Approach to Exponential Stabilization of Uncertain Time-Delay Systems
Hyoun-Chul Choi,Hyungbo Shim,Jin Heon Seo 제어로봇시스템학회 2008 제어로봇시스템학회 국제학술대회 논문집 Vol.2008 No.10
This paper presents a new, sufficient condition for exponential stabilization of uncertain systems with statedelays. By using a new Lyapunov function, the condition is obtained to be delay-dependent and represented in terms of linear matrix inequalities. Unlike some existing results on exponential stability and stabilization problems of timedelay systems, our condition involves information on the degree of exponential decay rates and therefore can suggest an achievable degree of speed of stabilization. Numerical examples are presented to show the effectiveness of the proposed method.
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.
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.