• 대한전기학회:학술대회논문집
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• 대한전기학회 2004년도 학술대회 논문집 정보 및 제어부문
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• pp.379-381
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• 2004

In this paper, a robust $H_{\infty}$ stabilization problem to a uncertain fuzzy systems with time-varying delay via static output feedback is investigated. The Takagi-Sugeno (T-S) fuzzy model is employed to represent an uncertain nonlinear systems with time-varying delayed state. Using a single Lyapunov function, the globally asymptotic stability and disturbance attenuation of the closed-loop fuzzy control system are discussed. Sufficient conditions for the existence of robust $H_{\infty}$ controllers are given in terms of linear matrix inequalities.

• 제어로봇시스템학회논문지
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• 제11권11호
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• pp.895-900
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• 2005

We derive a linear matrix inequality(LMI) condition guaranteeing that any invariant zeros of a triple (A, B, C) lie in the open left half plane of the complex plane, i.e. $C(sI-A)^{-1}B$ is minimum phase. The LMI condition is equivalent to a certain constrained Lyapunov matrix equation which can be found in many results relating to stability analysis or control design. We show that the LMI condition can be used to simplify various control engineering problems such as a dynamic output feedback control problem, a variable structure static output feedback control problem, and a nonlinear system observer design problem. Finally, we give some numerical examples.

• 대한전자공학회:학술대회논문집
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• 대한전자공학회 1999년도 추계종합학술대회 논문집
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• pp.1141-1144
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• 1999

This note addresses the problem of reliable (equation omitted) output-feedback control design for linear systems with actuator and/or sensor failures. An output feedback control design is proposed which stabilizes the plant and guarantees an (equation omitted)-norm bound on at-tenuation of augmented disturbances including all admissible actuator/sensor failures. Based on the linear matrix inequality (LMI) approach, the output- feedback controller design method is constructed by formulating to LMIs that cover all failure cases. Ef-fectiveness of this controller is validated via a numerical example.

• Structural Engineering and Mechanics
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• 제43권2호
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• pp.163-177
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• 2012

This paper presents a LMI(linear matrix inequality)-based fuzzy approach of modeling and active vibration control of geometrically nonlinear flexible plates with piezoelectric materials as actuators and sensors. The large-amplitude vibration characteristics and dynamic partial differential equation of a piezoelectric flexible rectangular thin plate structure are obtained by using generalized Fourier series and numerical integral. Takagi-Sugeno (T-S) fuzzy model is employed to approximate the nonlinear structural system, which combines the fuzzy inference rule with the local linear state space model. A robust fuzzy dynamic output feedback control law based on the T-S fuzzy model is designed by the parallel distributed compensation (PDC) technique, and stability analysis and disturbance rejection problems are guaranteed by LMI method. The simulation result shows that the fuzzy dynamic output feedback controller based on a two-rule T-S fuzzy model performs well, and the vibration of plate structure with geometrical nonlinearity is suppressed, which is less complex in computation and can be practically implemented.

• 한국지능시스템학회:학술대회논문집
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• 한국퍼지및지능시스템학회 2005년도 춘계학술대회 학술발표 논문집 제15권 제1호
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• pp.149-152
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• 2005

In this paper, a robust $H\infty$ stabilization problem to a uncertain discrete-time fuzzy systems with time-varying delay via static output feedback is investigated. The Takagi -Sugeno (T-S) fuzzy model is employed to represent an uncertain nonlinear systems with time-varying delayed state. Using a single Lyapunov function, the globally asymptotic stability and disturbance attenuation of the closed-loop fuzzy control system are discussed. Sufficient conditions for the existence of robust $H\infty$ controllers are given in terms of linear matrix inequalities.

• 한국지능시스템학회논문지
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• 제17권6호
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• pp.780-785
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• 2007

본 논문은 Takagi-Sugeno (T-S) 퍼지 모델을 이용하여 이산 시간에서의 비선형 상호 결합 시스템에 대한 분산 동적 출력제한 제어기를 제시한다. 이산시간 비선형 상호 결합 시스템의 각 하위 시스템에 대한 T-S 퍼지 모델링을 한 후, 각각에 대해 동적 출력 궤한 제어기를 설계한다. 제어가 된 폐루프 하위 시스템들로 전체 시스템의 평형점이 안정화되는 선형 행렬 부등식 (LMI)을 구하고, 부등식을 이용하여 동적 출력 제한 제어기의 이득 값을 구한다. 마지막으로 모의실험을 통해 분산 동적 출력 궤한 제어기의 효용성을 확인한다.

• 한국지능시스템학회논문지
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• 제18권3호
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• pp.335-340
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• 2008

본 논문은 시간 지연을 가지는 비선형 상호 결합 시스템에 대한 분산 퍼지 출력 궤환 제어기를 제시한다. Takagi-Sugeno (T-S) 퍼지 모델링을 통하여 비선형 상호 결합 시스템을 퍼지 모델로 표현한다. 상호 결합 시스템의 하위 퍼지 시스템을 안정화 시킬 수 있는 분산 출력 궤한 제어기를 설계한다. 폐루프 하위 시스템들의 안정도 조건을 선형 행렬 부등식으로 나타내고, 부등식을 이용하여 제어기의 이득값을 구한다. 모의실험을 통하여 시간 지연이 있는 비선형 상호 결합 시스템에 대한 분산 퍼지 출력 궤한 제어기의 효용성을 평가한다.

• 한국공작기계학회논문집
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• 제15권5호
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• pp.72-78
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• 2006

The paper proposes reference model error feedback control scheme for motion control system with hard non-linear components as like saturation and dead-zone in plant input part. Additionally, the plant has the system uncertainty effected by plant model parameter deviation and disturbance. The control algorithm uses the reference model to apply additional feedback loop with the error between reference model output and actual output effected by disturbance and non-linear components. And the stability evaluation based on Popov stability and controller design method are formulated to be performed. The effectiveness of the proposed scheme is examined by simulations. The results are proven by reasonable performances following reference model responses with good disturbance rejection performance without over-tuning of controller.

• 한국산학기술학회논문지
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• 제13권1호
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• pp.343-347
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• 2012

결정 궤환 구조를 사용한 비선형 등화기법은 열악한 채널환경에서 발생하는 심각한 심볼간 간섭을 제거하는데 크게 요구되고 있다. 이 논문에서는 정보 이론적 학습방법과 랜덤 심볼에 기본을 두고 개발된 선형 자력 등화 알고리듬에 이 결정 궤환 구조를 적용한다. 제안된 결정 궤환 자력 등화기는 송신 심볼이 가지는 확률밀도함수와 동일한 모양을 갖도록 랜덤 심볼이 생성된다. 이 랜덤 심볼의 확률밀도함수와 등화기 출력이 가지는 확률밀도함수의 차이를 최소화함으로써 제안된 자력 등화 알고리듬은 등화된 출력 신호를 만들어낸다. 시뮬레이션 결과로부터 선형 알고리듬에 비해 향상된 수렴성능 및 오차 성능을 나타냈다.

• 제어로봇시스템학회논문지
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• 제4권2호
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• pp.151-156
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• 1998

This paper presents an $H_{\infty)$ output feedback controller design method for linear systems with delayed state, delayed control input, and delayed masurement output. Using a Lyapunov functional, the stability for delayed systems is discussed independently of delays. Also, sufficient condition for the existence of $H_{\infty)$ controllers of any order is given in terms of three linear matrix inequalities(LMIs). Based on positive definite solutions of their LMIs, we briefly explain the way to construct $H_{\infty)$ controller, which stabilizes time-delay systems independently of delays and guarantees an $H_{\infty)$norm bound.