• 전자공학회논문지SC
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• 제46권5호
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• pp.22-28
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• 2009

본 논문에서는 다중 상태 시변 시간지연을 가지는 연속시간 특이시스템의 $H_{\infty}$ 필터링 문제를 다룬다. 제안하는 필터의 목적은 필터링 오차 특이시스템(filtering error singular system)이 정규성, 임펄스 프리, 점근적 안정성 및 $H_{\infty}$ 노옴 유계(bound)를 만족하는 선형 필터를 설계하는 것이다. 먼저, 다중 상태 시변 시간지연을 가지는 특이시스템에 대한 새로운 지연종속 유계실수정리(bounded real lemma)를 자승 요소를 기초로 하는 유한 합 부등식(finite sum inequality)을 이용하여 제안하고, 이로부터 $H_{\infty}$ 필터가 존재할 조건과 필터의 설계기법을 최적화가 가능한 선형행렬부등식(linear matrix inequality)으로 제시한다. 마지막으로 예제를 통하여 제안한 필터 설계 알고리듬의 타당성을 확인한다.

• 전기학회논문지
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• 제58권9호
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• pp.1796-1801
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• 2009

This paper is concerned with the problem of delay-dependent robust $H_{\infty}$ 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 $H_{\infty}$ 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 $H_{\infty}$ filter is designed in terms of linear matrix inequaltity (LMI). Numerical examples are given to illustrate the effectiveness of the proposed method.

• 대한전기학회:학술대회논문집
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• 대한전기학회 2003년도 학술회의 논문집 정보 및 제어부문 B
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• pp.571-574
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• 2003

This paper proposes a detection method for mechanically stuck control rod drive mechanism (CRDM) faults. During the normal operation of a CRDM, disturbance voltage is induced due to the change of the airgap flux between the stator and the armature of a CRDM. This disturbance voltage is estimated by using $H_\infty$ filtering method, and generalized plant is used in linear fractional transform (LFT) framework. $H_\infty$ filtering is described and solved in terms of linear matrix inequalities (LMIs). Simulation results are shown.

• 제어로봇시스템학회:학술대회논문집
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• 제어로봇시스템학회 1999년도 제14차 학술회의논문집
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• pp.129-132
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• 1999

This paper deals with the optimal filtering problem constrained to input noise signal corrupting the measurement output for linear discrete-time systems. The transfer matrix H$_2$and/or H$_{\infty}$ norms are used as criteria in an estimation error sense. In this paper, the mixed $H_2/H_{\infty}$ filtering Problem in lineal discrete-time systems is solved using the LMI approach, yielding a compromise between the H$_2$and H$_{\infty}$ filter designs. This filter design problems we formulated in a convex optimization framework using linear matrix inequalities. A numerical example is presented.

• 전자공학회논문지SC
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• 제39권5호
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• pp.26-33
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• 2002

본 논문에서는 볼록 한계 불확실성(convex bounded uncertainty)을 가지는 이산시간 선형 시스템의 견실 $H_{\infty}$ 필터 설계 알고리듬을 제안한다. 다루고 있는 파라미터 불확실성은 폴리토프형(polytope type) 볼록 한계를 가지는 형태이다. 본 논문의 목적은 필터링 오차 시스템의 점근 안정성(asymptotic stability)과 변형한 성능지수의 유도 $L_2$ 노옴($L_2$ induced norm) 한계치를 해적적으로 제시하는 안정한 견실 $H_{\infty}$ 필터를 설계하는 것이다. 견실 $H_{\infty}$ 필터가 존재할 충분조건과 필터 설계 방법은 볼록 최적화 기법에 의하여 효과적으로 해를 구하는 선형행렬부등식 방법에 의하여 제시한다. 제안한 알고리듬의 타당성은 예제를 통하여 확인한다.

• Transactions on Control, Automation and Systems Engineering
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• 제2권3호
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• pp.163-168
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• 2000

The problems of mixed $H_2/H_{\infty}$ filtering design fer continuous and discrete time linear systems with time delay are investigated. The main purpose is to design a stable mixed $H_2/H_{\infty}$ filter which minimizes the H$_2$Performance measure satisfying a prescribed H$_{\infty}$ norm bound on the closed loop system in continuous-time case and discrete-time case, respectively. The sufficient conditions of existence of filter, the mixed $H_2/H_{\infty}$ filter design method, and the upper bound of performance measure are proposed by LMI(linear matrix inequality) techniques in terms of all finding variables. Also, we present optimization problems in order to get the optimal mixed $H_2/H_{\infty}$ filter in continuous and discrete time case, respectively.

• Transactions on Control, Automation and Systems Engineering
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• 제3권2호
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• pp.83-88
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• 2001

The robust linear H(sub)$\infty$ FIR filter, which guarantees a prescribed H(sub)$\infty$ performance, is designed for continuous time-varying systems with unknown cone-bounded nonlinearity. The infinite horizon filtering for time-varying systems is systems is investigated in therms of two Riccati equations by the finite moving horizon.

• Journal of KIEE
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• 제11권1호
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• pp.21-26
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• 2001

This paper considers the problem of robust H$\infty$ filter is derived by using the equivalence relationship between the FIR filter and the recursive filter, that would be guarantee a prescribed H$\infty$ performance in the continuous-time context, irrespective of the parameter uncertainty and unknown initial states.

• International Journal of Control, Automation, and Systems
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• 제4권6호
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• pp.697-704
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• 2006

The paper is concerned with $H_{\infty}$ filtering for descriptor systems. A necessary and sufficient condition is established in terms of linear matrix inequalities(LMIs) for the existence of normal filters such that the error systems are admissible and the transfer function from the disturbance to the filtering error output satisfies a prescribed $H_{\infty}$-norm bound constraint. When these LMIs are feasible, an explicit parameterization expression of all desired normal filter is given. All these results are yielded without decomposing the original descriptor systems, which makes the filter design procedure simple and direct. Finally, a numerical example is derived to demonstrate the applicability of the proposed approach.

• Transactions on Control, Automation and Systems Engineering
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• 제1권2호
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• pp.99-105
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• 1999

This paper presents a fuzzy H$\infty$ filtering problem for a class of uncertain nonlinear systems with time-varying delayed states and unknown inital state on the basis of Takagi-Sugeno(T-S) fuzzy model. The nonlinear systems are represented by T-S fuzzy models, and the fuzzy control systems utilize the concept of the so-called parallel distributed compensation. Using a single quadraic Lyapunov function, the stability and L2 gain performance from the noise signals to the estimation error are discussed. Sufficient conditions for the existence of fuzzy H$\infty$ filters are given in terms of linear matrix inequalities (LMIs). The filtering gains can also be directly obtained from the solutions of LMIs.