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변수 불확실성을 가지는 특이시스템의 강인 비약성 H<SUB>∞</SUB> 출력궤환 제어
金鍾海(Jong-Hae Kim) 대한전기학회 2007 전기학회논문지 Vol.56 No.2
In this paper, we consider the robust non-fragile H∞ output feedback controller design method for uncertain descriptor systems with feedback and observer gain variations. The existence condition of observer-based robust and non-fragile H∞ output feedback controller and the controller design method are presented on the basis of linear matrix inequality approach. The proposed robust non-fragile H∞ output feedback controller guarantees asymptotic stability, non-fragility, H∞ norm bound within a prescribed level in spite of disturbance, parameter uncertainty, and feedback/observer gain variations.
선형행렬부등식을 이용한 불확실성 이산시간 특이시스템의 강인 보장비용 상태궤환 제어기 설계
金鍾海(Jong-Hae Kim) 대한전기학회 2008 전기학회논문지 Vol.57 No.8
In this paper, we consider the design method of robust guaranteed cost controller for discrete-time singular systems with norm-bounded time-varying parameter uncertainty. In order to get the optimum(minimum) value of guaranteed cost, an optimization problem is given by linear matrix inequality (LMI) approach. The sufficient condition for the existence of controller and the upper bound of guaranteed cost function are proposed in terms of strict LMIs without decompositions of system matrices. Numerical examples are provided to show the validity of the presented method.
시간지연을 가지는 변수 불확실성 특이시스템의 비약성 강인 보장비용 제어
金鍾海(Jong-Hae Kim) 대한전기학회 2007 전기학회논문지 Vol.56 No.8
This paper considers robust and non-fragile guaranteed cost controller design method for descriptor systems with parameter uncertainties and time delay, and static state feedback controller with gain variations. The existence condition of controller, the design method of controller, the upper bound to minimize guaranteed cost function, and the measure of non-fragility in controller are proposed using linear matrix inequality (LMI) technique, which can be solved efficiently by convex optimization. Therefore, the presented robust and non-fragile guaranteed cost controller guarantees the asymptotic stability and non-fragility of the closed loop systems in spite of parameter uncertainties, time delay, and controller fragility.
시변 시간지연을 가지는 불확실 특이시스템의 지연 종속 강인 H<SUB>∞</SUB> 필터링
김종해(Jong-Hae Kim) 대한전기학회 2009 전기학회논문지 Vol.58 No.9
This paper is concerned with the problem of delay-dependent robust H∞ filtering for uncertain descriptor systems with time-varying delay. The considering uncertainty is convex compact set of polytoic type. The purpose is the design of a linear filter such that the resulting filtering error descriptor system is regular, impulse-free, and asymptotically stable with H∞ norm bound. By establishing a finite sum inequality based on quadratic terms, a new delay-dependent bounded real lemma (BRL) for delayed descriptor systems is derived. Based on the derived BRL, a robust H∞ filter is designed in terms of linear matrix inequaltity (LMI). Numerical examples are given to illustrate the effectiveness of the proposed method.
선형행렬부등식을 이용한 시간지연 특이시스템의 보장비용 제어기 설계방법
김종해(Jong Hae Kim) 대한전자공학회 2003 電子工學會論文誌-SC (System and control) Vol.40 No.3
본 논문에서는 시변 시간지연을 가지는 특이시스템에 대한 보장비용 상태궤환 제어기 설계방법을 제시한다. 보장비용 제어기가 존재할 충분조건과 보장비용 제어기 설계방법 및 보장비용 함수의 상한치를 구하는 최적화 문제를 선형행렬부등식, 특이치 분해(singular value decomposition), 슈어 여수(Schur complements) 정리, 변수 치환 등에 의하여 제시한다. 구한 충분조건은 선형행렬부등식의 형태로 되기 때문에 보장비용 제어기의 이득과 보장비용 함수의 상한치를 포함하는 충분조건의 모든 해를 동시에 구할 수 있다. 또한, 제안한 알고리듬을 이용하면 변수 불확실성과 시변 시간지연을 동시에 가지는 특이시스템에 대한 강인 보장비용 제어기 설계문제에도 쉽게 확장됨을 보인다. 마지막으로, 제안한 알고리듬의 타당성을 수치예제를 통하여 확인한다. This paper is concerned with the problem of designing a guaranteed cost state feedback controller for singular systems with time-varying delays. The sufficient condition for the existence of guaranteed cost controller, the controller design method, and the optimization problem to get the upper bound of guaranteed cost function are proposed by LMI(linear matrix inequality), singular value decomposition, Schur complements, and change of variables. Since the obtained sufficient conditions can be changed to LMI form, all solutions including controller gain and the upper bound of guaranteed cost function can be obtained simultaneously. Moreover, the proposed controller design method can be extended to the problem of robust guaranteed cost controller design method for singular systems with parameter uncertainties and time-varying delays. The validity of the proposed design algorithm is investigated through a numerical example.
이산 불확실 특이시스템의 변수종속 차수축소 강인 $H_{\infty}$ 필터링
김종해,Kim, Jong-Hae 대한전자공학회 2011 電子工學會論文誌-SC (System and control) Vol.48 No.5
본 논문에서는 폴리토픽 불확실성을 가지는 이산시간 변수종속 특이시스템에 대한 저차(low order)의 변수종속 차수축소 강인 $H_{\infty}$ 필터 설계기법을 제안한다. 먼저, 변수종속 특이시스템에 대한 유계 실수정리(bounded real lemma)를 변수종속 리아푸노프 (Lyapunov) 함수로부터 유도한다. 유계 실수정리로부터 폴리토픽 기법과 새로운 차수축소 기법을 이용하여 저차의 강인 $H_{\infty}$ 필터 설계방법을 볼록최적화가 가능한 선형행렬부등식 접근방법을 이용하여 제시한다. 따라서 제안하는 변수종속 차수축소 강인 $H_{\infty}$ 필터 설계방법은 미리 정한 차수의 $H_{\infty}$ 필터를 제공한다. 수치예제를 통하여 제시한 저차의 필터 설계방법의 타당성을 보인다. In this paper, we present a reduced-order parameter-dependent robust $H_{\infty}$ filter design method for discrete-time singular systems with polytopic uncertainties. A BRL(bounded real lemma) for parameter-dependent singular systems is derived from a parameter-dependent Lyapunov function. On the basis of the obtained BRL, low order robust $H_{\infty}$ filter design method is presented by polytopic approach, new reduced-order method, and LMI(linear matrix inequality) technique. Finally, a numerical example is presented to illustrated the feasibility of the proposed method.
측면 충돌대응 LSHC(LS B PLR +H COMPLEX) 구조 최적화 개발
김도회(Do Hoi Kim),김해웅(Hae Yung Kim),박창호(Chang Ho Park),김종수(Jong Su Kim),이선우(Sun Woo Lee) 한국자동차공학회 2015 한국자동차공학회 학술대회 및 전시회 Vol.2015 No.11
At present, the most issues are a safety of passengers. So thus OEMs have endeavored to enhance the strength of cars. Especially the new NCAP and IIHS’s regulations involved in roof crash have strengthened before a few years. However, B pillar has not satisfied a safety zones for passengers when the BIW has been developed for side impact. Therefore this paper will present the way to develop a new B pillar structure as using the tool of TRIZ..
상태와 제어입력에 시간지연과 변수불확실성을 가지는 특이시스템의 강인 비약성 보장비용 제어
김종해(Jong-Hae Kim) 대한전자공학회 2007 대한전자공학회 학술대회 Vol.2007 No.7
In this paper, we consider the robust resilient guaranteed cost controller design method for uncertain singular systems with delays. The existence conditions of controller, controller design method, the bound of guaranteed cost function, and the measurement of non-fragility are presented by linear matrix inequality approach. The robust resilient guaranteed cost controller guarantees asymptotic stability, minimization of guaranteed cost, and non-fragility in controller.