• 제목/요약/키워드: LMIs

검색결과 244건 처리시간 0.023초

시간지연 선형시스템의 $H_{\infty)$ 제어 ($H_{\infty)$ Control of Linear Delay Systems)

  • 정은태;권성하;김종해;박홍배
    • 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.

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선형 행렬부등식과 분해법을 이용한 퍼지제어기 설계 (Design of LFT-Based T-S Fuzzy Controller for Model-Following using LMIs)

  • 손홍엽;이희진;조영완;김은태;박민용
    • 한국지능시스템학회:학술대회논문집
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    • 한국퍼지및지능시스템학회 1998년도 추계학술대회 학술발표 논문집
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    • pp.123-128
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    • 1998
  • This paper proposes design of LFT-based fuzzy controllers for model-following, which are better than the previous input-output linearization controllers, which are not able to follow the model system states and which do not guarantee the stability of all states. The method proposed in this paper provides a LFT-based Takagi-Sugeno(T-S) fuzzy controller with guaranteed stability and model-following via the following steps: First, using LFT(Linear Fractional Transformation) and T-S fuzzy model, controllers, are obtained. Next, error dynamics are obtained for model-following, and errors go to 0(zero). Finally, a T-s fuzzy controller that can stabilizxe the system with the requirement on the control input satisfied is obtained by solving the LMIs with the MATLAB LMI Control Toolbox and a model-following controller is obtained. Simulations are performed for the LFT-based T-S fuzzy controller designed by the proposed method, which show better performance than the results of input-out ut linearization controller.

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An LMI-based Stable Fuzzy Control System Design with Pole Placement Constraints

  • Kyung, Hong-Sung;Joh Joongseon
    • 한국지능시스템학회:학술대회논문집
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    • 한국퍼지및지능시스템학회 1998년도 추계학술대회 학술발표 논문집
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    • pp.156-165
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    • 1998
  • This paper proposes a systematic design methodology for the Takagi-Sugeno(TS) model based fuzzy control system with guaranteed stability and additional constraints on the closed-loop pole location. These combined two objectives are formulated as a system of LMIs(Linear Matrix Inequalities). Since LMIs intrinsically reflect constraints, they tend to offer more flexibility for combining various constraints on the closed-loop system. To demonstrate the usefulness of the proposed design methodology it is applied to the requlation problem of a nonlinear magnetic bearing system. Simulation results show that the proposed LMI-based design methodology yields not only maximized stability boundary but also the desired transient responses.

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H^$\infty$ Control for Linear Systems with Delayed Sate and Control

  • Jeung, Eun-Tae;Oh, Do-Chang;Park, Hong-Bae
    • Journal of Electrical Engineering and information Science
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    • 제2권5호
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    • pp.27-32
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    • 1997
  • This paper presents an H\ulcorner controller design method for linear time-invariant systems with delayed state and control. Using the second method of Lyapunov, the stability for delayed systems is discussed. For delayed systems, we derive a sufficient condition of the bounded real lemma(BRL) which is similar to GBRL for nondelayed systems. And the sufficent conditions for the existence of an H\ulcorner controller of any order are given in terms of three linear matrix inequalities(LMIs). Further, we briefly explain how to construct such controllers from the positive definite solutions of their LMIs and gie a simple example to illustrate the validity of the proposed design procedure.

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비정질 Se-Ge 박막으로의 LMIS $Ga^+$ 이온 침투현상 (The penetration phenomena of LMIS Ga ion into amorphous Se-Ge thin film)

  • 이현용;정홍배
    • 대한전기학회:학술대회논문집
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    • 대한전기학회 1993년도 하계학술대회 논문집 B
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    • pp.1262-1264
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    • 1993
  • An amorphous $Se_{75}Ge_{25}$ thin film as inorganic resist for the focused ion beam lithography(FIBL) is investigated. This film offers an attractive potential alternative to polymer resists because of a number of advantages, such as the possibility of preparing physically uniform films of thickness as small as 200A and obtaining both positive and negative resist action in the same material, compatibility with dry processing, the sensitivity on optical, e-beam and ion beam exposure, the high-temperature stability, etc. In previous paper, the defocused ion beam-induced characteristics in a-$Se_{75}Ge_{25}$ film has been propose. Practically it is neccesary to know the relation with resist and source ions. For the purpose, the ion stopping power, the ion projected range and ion transmission coefficiency are studied. In this paper, the theoretically calculated values of parameters are presented and compared with theory.

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Controller Design for Continuous-Time Takagi-Sugeno Fuzzy Systems with Fuzzy Lyapunov Functions : LMI Approach

  • Kim, Ho-Jun;Joo, Young-Hoon;Park, Jin-Bae
    • International Journal of Fuzzy Logic and Intelligent Systems
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    • 제12권3호
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    • pp.187-192
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    • 2012
  • This paper is concerned with stabilization problem of continuous-time Takagi-Sugeno fuzzy systems. To do this, the stabilization problem is investigated based on the new fuzzy Lyapunov functions (NFLFs). The NFLFs depend on not only the fuzzy weighting functions but also their first-time derivatives. The stabilization conditions are derived in terms of linear matrix inequalities (LMIs) which can be solved easily by the Matlab LMI Toolbox. Simulation examples are given to illustrate the effectiveness of this method.

도서관지도정보시스템 구축을 위한 메타데이터 개발 연구 (A Study on Designing of Metadata for Constructing the Library Map Information System)

  • 노영희
    • 정보관리학회지
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    • 제27권3호
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    • pp.241-264
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    • 2010
  • 세계에는 수많은 도서관이 있지만 어떤 시스템도 이 모든 도서관에 대한 정보를 총체적으로 제공하는 기관은 없다는 인식에서, 본 연구에서는 위키원리 기반 도서관지도정보시스템을 구축하고자 하였다. 또한 구글지도서비스를 매쉬업함으로써 도서관위치정보서비스도 제공하고자 하였다. 새로운 서비스 시스템이 개발됨에 따라, 이 시스템을 통해 제공될 정보의 효과적 조직 및 관리를 위해 새로운 메타데이터를 개발할 필요가 있었으며, 이를 위해 델파이 연구기법을 적용하였다. 델파이 전문위원으로 대학, 전문, 학교, 공공, 국가도서관의 사서를 포함하여 도서관 지도정보의 전문가인 연구소의 연구원 및 대학의 교수진 등 총 13명을 위촉하였다. 이들을 대상으로 한 제 3차에 걸친 델파이 설문분석과정을 통해, 초기 메타데이터 항목에 대한 추가, 수정, 삭제가 이루어졌으며, 도서관 위치정보, 도서관 정보, 장서정보, 행사정보로 구성된, 4개 부문 49개 항목의 메타데이터가 최종적으로 제안되었다.

변수 불확실성을 가지는 시스템에 대한 견실비약성 $H_{\infty}$ 칼만형필터 설계: PLMI 접근법 (Design of Robust and Non-fragile $H_{\infty}$ Kalman-type Filter for System with Parameter Uncertainties: PLMI Approach)

  • 김준기;양승협;방경호;박홍배
    • 전자공학회논문지
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    • 제49권10호
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    • pp.181-186
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    • 2012
  • 본 논문에서는 변수 불확실성과 필터이득 섭동을 가지는 시스템에 대한 견실비약성 $H_{\infty}$ 칼만형필터 설계기법을 제안한다. 필터가 존재할 충분조건과 견실비약성 $H_{\infty}$ 필터 설계기법을 선형행렬부등식 (LMI: Linear Matrix Inequality 접근법으로 제안하고 시스템과 필터의 불확실성을 매개변수화 선형행렬부등식(PLMI: Parameterized Linear Matrix Inequality)으로 구조화된 불확실성의 형태로 표현한 후 Lyapunov 함수를 통해 시스템의 불확실성과 더불어 필터이득섭동을 고려한 칼만형 $H_{\infty}$ 필터가 존재할 충분조건과 필터설계기법을 PLMI 형태로 보인다. PLMI는 무한개의 LMI의 형태로 나타나므로 완화기법(relaxation technique)을 적용하여 유한개의 LMI의 형태로 변환한 후 견실하고 최적화된 필터이득과 필터섭동범위를 계산하고, 예제와 모의실험을 통해 제시된 필터의 타당성을 검증한다.

파라미터 불확실성 시스템에 대한 견실 비약성 $H^\infty$ 제어기 설계 ((Robust Non-fragile $H^\infty$ Controller Design for Parameter Uncertain Systems))

  • 조상현;김기태;박홍배
    • 전자공학회논문지SC
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    • 제39권3호
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    • pp.183-190
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    • 2002
  • 본 논문에서는 구조화된 어파인(affine) 파라미터 불확실성을 가지는 시변 선형시스템과 구조적 불확실성을 가지는 상태궤환 제어기에 대한 견실 비약성 H∞ 제어기 설계방법을 다루었다. 또한 견실 비약성 H∞ 제어기가 존재할 충분조건, 제어기 설계방법 및 비약성을 만족하는 제어기의 꽉찬 집합(compact set)을 제시하였다. 이 때 제시한 조건은 변수치환과 슈어 여수(Schur complement)정리를 통하여 선형행렬부등식 (LMI : Linear Matrix Inequality)의 계수가 꽉찬 집합 내의 파라미터의 함수로 정의되는 파라미터화 선형 행렬부등식(PLMls: parameterized Linear Matrix Inequalities)으로 표현되므로 분리 볼록개념 (separated convexity concepts)에 기초한 완화기법을 이용하여 유한개의 LMI로 변환하였다. 그리고 본론문에서 제시한 견실 비약성 H∞ 제어기가 제어기이득의 변화에도 불구하고 폐루프시스템의 점근적 안정성 (asymptotic stability)과 외란감쇠 성능을 보장함을 보였다.

Intelligent Scheduling Control of Networked Control Systems with Networked-induced Delay and Packet Dropout

  • Li, Hongbo;Sun, Zengqi;Chen, Badong;Liu, Huaping;Sun, Fuchun
    • International Journal of Control, Automation, and Systems
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    • 제6권6호
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    • pp.915-927
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    • 2008
  • Networked control systems(NCSs) have gained increasing attention in recent years due to their advantages and potential applications. The network Quality-of-Service(QoS) in NCSs always fluctuates due to changes of the traffic load and available network resources. To handle the network QoS variations problem, this paper presents an intelligent scheduling control method for NCSs, where the sampling period and the control parameters are simultaneously scheduled to compensate the effect of QoS variation on NCSs performance. For NCSs with network-induced delays and packet dropouts, a discrete-time switch model is proposed. By defining a sampling-period-dependent Lyapunov function and a common quadratic Lyapunov function, the stability conditions are derived for NCSs in terms of linear matrix inequalities(LMIs). Based on the obtained stability conditions, the corresponding controller design problem is solved and the performance optimization problem is also investigated. Simulation results are given to demonstrate the effectiveness of the proposed approaches.