• 제목/요약/키워드: Linear matrix inequalities

검색결과 330건 처리시간 0.024초

T-S 퍼지 모델을 이용한 역진자 시스템의 안정화 제어기 설계 (Design of Stabilizing Controller for an Inverted Pendulum System Using The T-S Fuzzy Model)

  • 배현수;권성하;정은태
    • 제어로봇시스템학회논문지
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    • 제8권11호
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    • pp.916-921
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    • 2002
  • We presents a new method of constructing an equivalent T-S fuzzy model by using the sum of products of linearly independent scalar functions from nonlinear dynamics. This method exactly expresses nonlinear systems and automatically determines the number of rules. We design a stabilizing controller f3r ul inverted pendulum system by using the concep of parallel distributed compensation (PDC) and linear matrix inequalities (LMIs) based on the proposed T-S fuzzy modeling method. We show effectiveness of a systematically designed fuzzy controller based on the proposed T-S fuzzy modeling method through the simulation and experiment of an inverted pendulum system.

볼록 최적화 기법을 이용한 퍼지 제어기의 안정도 해석 (Stability Analysis of Fuzzy Control Systems via Convex Optimization)

  • 김은태;이희진
    • 전자공학회논문지CI
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    • 제38권6호
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    • pp.38-45
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    • 2001
  • 본 논문에서는 새로운 방식의 싱글톤 형태 퍼지 제어기의 안정도 해석 방식을 제안한다. 본 논문에서 제안되는 방식은 기존의 논문에서 찾을 수 있는 해석적 방식이 아니라 최적화 알고리즘을 이용한 수치적 접근 방식이다. 본 알고리즘은 크게 이차계획법과 선형 행렬 부등식으로 이루어져 있다. 끝으로 컴퓨터 모의 실험을 통해 타당성을 확인한다.

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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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뉴톤법에 의한 최적전력 조류계산의 개선 (Optimal Power Flow Study by The Newton's Method)

  • Hwang, Kab-Ju
    • 대한전기학회논문지
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    • 제39권3호
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    • pp.223-231
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    • 1990
  • Optimal Power Flow (OPF) solution by the Newton's method provides a reliable and robust method to classical OPF problems. The major challenge in algorithm development is to identify the binding inequalities efficiently. This paper proposes a simple strategy to identify the binding set. From the mechanism of penalty shifting with soft penalty in trial iteration, an active binding set is identidied automatically. This paper also suggests a technique to solve the linear system whose coefficients are presented in the matrix from. This implementation is highly efficient for sparsity programming. Case studies for 3, 5, 14, 118 bus and practical TPC-190, KEPCO-306 bus systems are performed as well.

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이산시간 TS 퍼지 시스템의 스위칭모드 제어기의 설계 (Design of Switching-Type Controller for Discrete-Time Ts Fuzzy Systems)

  • 김주원;장욱;주영훈;박진배
    • 대한전기학회:학술대회논문집
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    • 대한전기학회 2001년도 하계학술대회 논문집 D
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    • pp.2005-2007
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    • 2001
  • A controller design problem for a discrete-time Takagi-Sugeno (TS) fuzzy systems is discussed. The switching-type controller is employed in this study. A switching-type fuzzy-model-based controller is constructed based on the spirit of "devide and conquer". The design condition of this controller is formulated in terms of linear matrix inequalities (LMIs), which guarantees the global stability of the controlled TS fuzzy systems. An example is included for ensuring the effecienct of the proposed control method.

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시변 지연이 존재하는 불확실 퍼지 뉴럴 네트워크의 강인 안정성 판별법에 대한 새로운 리아프노프 함수법 (A New Augmented Lyapunov Functional Approach to Robust Stability Criteria for Uncertain Fuzzy Neural Networks with Time-varying Delays)

  • 권오민;박명진;이상문;박주현
    • 전기학회논문지
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    • 제60권11호
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    • pp.2119-2130
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    • 2011
  • This paper proposes new delay-dependent robust stability criteria for neural networks with time-varying delays. By construction of a suitable Lyapunov-Krasovskii's (L-K) functional and use of Finsler's lemma, new stability criteria for the networks are established in terms of linear matrix inequalities (LMIs) which can be easily solved by various effective optimization algorithms. Two numerical examples are given to illustrate the effectiveness of the proposed methods.

시변지연을 가진 뉴트럴 타입의 퍼지 마르코비안 점핑 홉필드 뉴럴 네트워크에 대한 지연의존 안정성 판별법 (Delay-dependent Stability Criteria for Fuzzy Markovian Jumping Hopfield Neural Networks of Neutral Type with Time-varying Delays)

  • 박명진;권오민;박주현;이상문
    • 전기학회논문지
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    • 제60권2호
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    • pp.376-382
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    • 2011
  • This paper proposes delay-dependent stability conditions of the fuzzy Markovian jumping Hopfield neural networks of neutral type with time-varying delays. By constructing a suitable Lyapunov-Krasovskii's (L-K) functional and utilizing Finsler's lemma, new delay-dependent stability criteria for the systems are established in terms of linear matrix inequalities (LMIs) which can be easily solved by various effective optimization algorithms. A numerical example is given to illustrate the effectiveness of the proposed methods.

대형급 무인잠수정의 임무의 중요성에 따른 목표 경로점 선정 및 제어를 위한 T-S 퍼지모델 기반 강인 ℋ 제어기 설계 (Allocations and Robust ℋ Fuzzy Control for Waypoints Tracking of Large Displacement Unmanned Underwater Vehicles)

  • 강형빈;이호재;김성훈;박호규
    • 전기학회논문지
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    • 제66권2호
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    • pp.402-408
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    • 2017
  • This paper deals with a robust ${\mathfrak{H}}_{\infty}$ controller design problem for waypoints tracking of large displacement unmanned underwater vehicles (LDUUVs) in Takagi-Sugeno fuzzy form. The LDUUV model uses a rudder to control its horizontal motion. We determine the order of waypoints based on their priorities and consider only surge force. A fuzzy controller in state-feedback form is taken and its design condition of is represented in terms of linear matrix inequalities. A numerical simulation is included to show the effectiveness of the theoretical development.

입력제한 조건을 가지는 순항 제어 시스템을 위한 이벤트-트리거 MPC (Event-triggered MPC for Adaptive Cruise Control System with Input Constraints)

  • 이상문
    • 전기학회논문지
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    • 제66권1호
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    • pp.165-170
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    • 2017
  • This paper presents an event-triggered model predictive controller for adaptive cruise control system with sampled and quantized-data. Unlike existing works, a longitudinal continuous-time model is used for the predictive control of the system. To efficiently utilize network resources, event-trigger scheme is employed, which allows limited sensor and actuator signal satisfying the condition that the measurement of errors is over the ratio of a trigger level. The proposed control gain is obtained by solving a convex problem satisfying several linear matrix inequalities at every sampling times. Simulation results are given to show the effectiveness of the proposed design method.

유전자 알고리즘과 LMI 설계 방법을 이용한 강인 제어기의 설계 (Design of a Robust Controller Using Genetic Algorithms and LMI Design Method)

  • 이문노;이홍규
    • 제어로봇시스템학회논문지
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    • 제17권7호
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    • pp.619-624
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    • 2011
  • This paper presents a controller design method for a robust control problem with multiple constraints using genetic algorithms and LMI design method. A robust $H_{\infty}$ constraint with loop shaping and pole placement is used to address disturbance attenuation with error limits and desired transient specifications, in spite of the plant uncertainties and disturbances. In addition, a loop gain constraint is considered so as not to enlarge the loop gain unnecessarily. The robust $H_{\infty}$ constraint and pole placement constraint can be expressed in terms of two matrix inequalities and the loop gain constraint can be considered as an objective function so that genetic algorithms can be applied. Accordingly, a robust controller can be obtained by integrating genetic algorithms with LMI approach. The proposed controller design method is applied to a track-following system of an optical disk drive and is evaluated through simulation results.