• Title/Summary/Keyword: linear Matrix Inequality

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스위칭 모드 퍼지 모델 기반 제어기를 위한 안정화 문제 해석 (Stabilization Analysis for Switching-Type Fuzzy-Model-Based Controller)

  • 김주원;주영훈;박진배
    • 한국지능시스템학회:학술대회논문집
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    • 한국퍼지및지능시스템학회 2001년도 추계학술대회 학술발표 논문집
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    • pp.149-152
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    • 2001
  • 본 논문은 연속 시간과 이산 시간에서의 스위칭 모드 퍼지 모델 기반 제어기의 새로운 설계 기법에 대해서 논의한다. 스위칭 모드 퍼지 모델 기반 제어기의 설계에는 Takagi-Sugeno(75) 퍼지 시스템이 사용된다. 이 스위칭 모드 퍼지 모델 기반 제어기는 "정복-분할(divide and conquer)"이라는 하향식 접근 방식을 이용한다. 이 방법은 여러 개의 규칙을 가지고 있는 시스템에서 유한의 하위 시스템으로 시스템을 분할하여 각각의 부분 해를 구하고 이들을 결합하여 전체 시스템의 해를 구하는 방법이다. 제어기의 설계 조건은 주어진 75 퍼지 시스템의 안정화를 보장하는 선형 행렬 부등식들(LMls)에 의해 결정된다. 적절한 시뮬레이션 예제를 통한 성능 비교를 통해 본 논문의 우수성을 입증한다.

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연속과 이산시간 폴리토픽 불확실성을 가지는 특이시스템의 산일성 필터링 (Robust Dissipative Filtering for Polytopic Uncertain Singular Systems in Continuous & Discrete Time)

  • 진데니;김종해;오도창
    • 전기학회논문지
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    • 제63권7호
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    • pp.994-1000
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    • 2014
  • This paper considers the problem of continuous and discrete time dissipative filter design method for the singular systems with polytopic uncertainties. Two bounded real lemmas (BRL) for the robust filters of dissipative singular systems along with the polytopic uncertainties are proposed on the basis of Lyapunov criterion. The sufficient conditions for both continuous and discrete time dissipative filter design methods are derived using the obtained BRL by linear matrix inequality (LMI) approach. Finally, the validities of the proposed methods are shown by numerical examples.

Sampled-data Fuzzy Observer Design for an Attitude and Heading Reference System and Its Experimental Validation

  • Kim, Han Sol;Park, Jin Bae;Joo, Young Hoon
    • Journal of Electrical Engineering and Technology
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    • 제12권6호
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    • pp.2399-2410
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    • 2017
  • In this paper, a linear matrix inequality-based sampled-data fuzzy observer design method is proposed based on the exact discretization approach. In the proposed design technique, a numerically relaxed observer design condition is obtained by using the discrete-time fuzzy Lyapunov function. Unlike the existing studies, the designed observer is robust to the uncertain premise variable because the fuzzy observer is designed under the imperfect premise matching condition, in which the membership functions of the system and observer are mismatched. In addition, we apply the proposed method to the state estimation problem of the attitude and heading reference system (AHRS). To do this, we derive a Takagi-Sugeno fuzzy model for the AHRS system, and validate the proposed method through the hardware experiment.

비정합 불확실성을 갖는 시스템을 위한 적응 슬라이딩 모드 제어기 설계 (Adaptive Sliding Mode Control Design for Mismatched Uncertain Systems)

  • 최한호
    • 조명전기설비학회논문지
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    • 제24권2호
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    • pp.39-43
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    • 2010
  • 본 논문에서는 불확실한 다변수 시스템을 위한 적응 슬라이딩 모드 제어기의 LMI 기반 설계방법이 제시된다. LMI를 사용하여 슬라이딩 평면의 존재조건을 구한다. 그리고 외란의 놈 경계치를 추정하고 안정성을 보장할 적응 스위칭 궤환 제어기 알고리즘을 제시한다. 마지막으로 제안된 방법의 유효성을 보이기 위해 크레인 모델을 제어하기 위한 설계 예를 제시한다.

모델의 타당성 평가에 기초한 로바스트 동정에 관한 연구 (A Study on Robust Identification Based on the Validation Evaluation of Model)

  • 이동철
    • 동력기계공학회지
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    • 제4권3호
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    • pp.72-80
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    • 2000
  • In order to design a stable robust controller, nominal model, and the upper bound about the uncertainty which is the error of the model are needed. The problem to estimate the nominal model of controlled system and the upper bound of uncertainty at the same time is called robust identification. When the nominal model of controlled system and the upper bound of uncertainty in relation to robust identification are given, the evaluation of the validity of the model and the upper bound makes it possible to distinguish whether there is a model which explains observation data including disturbance among the model set. This paper suggests a method to identity the uncertainty which removes disturbance and expounds observation data by giving a probable postulation and plural data set to disturbance. It also examines the suggested method through a numerical computation simulation and validates its effectiveness.

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완화된 Non-Quadratic 안정화 조건을 기반으로 한 이산 시간 Takagi-Sugeno 퍼지 시스템의 최적 제어 (Optimal Control for Discrete-Time Takagi-Sugeno Fuzzy Systems Based on Relaxed Non-Quadratic Stabilization Conditions)

  • 이동환;박진배;양한진;주영훈
    • 대한전기학회:학술대회논문집
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    • 대한전기학회 2009년도 제40회 하계학술대회
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    • pp.1724_1725
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    • 2009
  • In this paper, new approaches to optimal controller design for a class of discrete-time Takagi-Sugeno (T-S) fuzzy systems are proposed based on a relaxed approach, in which non-quadratic Lyapunov function and non-parallel distributed compensation (PDC) control law are used. New relaxed conditions and linear matrix inequality (LMI) based design methods are proposed that allow outperforming previous results found in the literature. Finally, an example is given to demonstrate the efficiency of the proposed approaches.

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변수 불확실성과 시변 시간지연을 가지는 특이시스템의 지연 종속 강인 비약성 안정화 (Delay-dependent Robust and Non-fragile Stabilization for Descriptor Systems with Parameter Uncertainties and Time-varying Delays)

  • 김종해
    • 전기학회논문지
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    • 제57권10호
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    • pp.1854-1860
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    • 2008
  • In this paper, we deal with the problem of delay-dependent robust and non-fragile stabilization for descriptor systems with parameter uncertainties and time-varying delays on the basis of strict LMI(linear matrix inequality) technique. Also, the considering controller is composed of multiplicative uncertainty. The delay-dependent robust and non-fragile stability criterion without semi-definite condition and decomposition of system matrices is obtained. Based on the criterion, the problem is solved via state feedback controller, which guarantees that the resultant closed-loop system is regular, impulse free and stable in spite of all admissible parameter uncertainties, time-varying delays, and controller fragility. Numerical examples are presented to demonstrate the effectiveness of the proposed method.

카오스 시스템의 동기화를 위한 샘플치 데이터 제어 (Synchronization of Chaos Systems via Sampled-Data Control)

  • 이태희;박주현;권오민;이상문
    • 전기학회논문지
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    • 제61권4호
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    • pp.617-621
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    • 2012
  • This paper considers the synchronization problem of chaotic systems. For this problem, the sampled-data control approach is used to achieve asymptotic synchronization of two identical chaotic systems. Based on Lyapunov stability theory, a new stability condition is obtained via linear matrix inequality formulation to find the sampled-data feedback controller which achieves the synchronization between chaotic systems. Finally, the proposed method is applied to a numerical example in order to show the effectiveness of our results.

시변시간지연을 가지는 네트워크 기반 시스템의 상태궤환 안정화 (State Feedback Stabilization of Network Based Control Systems with Time-varying Delay)

  • 정의현;서영수;이홍희
    • 대한전기학회논문지:시스템및제어부문D
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    • 제53권11호
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    • pp.741-746
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    • 2004
  • When investigating a control problem for network based control systems, the main issue is network-induced delay. This delay can degrade the performance of control systems designed without considering the delay and even destabilize the system. In this paper, we consider the stabilization of network based control systems, where there is bounded time-varying delay. This delay is treated like parameter variation of a discrete time system. The state feedback controller design is formulated as linear matrix inequality. Finally, we show that the stability of control systems designed with considering the delay is superior to that is not so.

Networked $H_{\infty}$ Approach에 의한 전력계통안정화 (Networked $H_{\infty}$ Approach and Power System Stabilization)

  • 이상성
    • 대한전기학회:학술대회논문집
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    • 대한전기학회 2005년도 제36회 하계학술대회 논문집 A
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    • pp.226-228
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    • 2005
  • This paper deals with power system stabilization problem using a network control system in which the control is applied through a communication channel in feedback form. Analysis and synthesis issues are investigated by modeling the packet delivery characteristics of the network as a Bernoulli random variable, which is described by a two state Markov chain. This model assumption yields an overall system which is described by a discrete-time Markov jump linear system. These employ the norm to measure the performance of the system, and they compute the norm via a necessary and sufficient matrix inequality condition.

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