• 제목/요약/키워드: linear matrix inequality(LMI)

검색결과 352건 처리시간 0.042초

이산시간 불확실 특이시스템의 저차 강인 피동성 필터링 (Robust Passive Low-order Filtering for Discrete-time Uncertain Descriptor Systems)

  • 김종해;오도창
    • 전기학회논문지
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    • 제61권3호
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    • pp.466-471
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    • 2012
  • In this paper, we consider the problem of a robust passive filtering with low-order for discrete-time singular systems with polytopic uncertainties. A BRL(bounded real lemma) for robust passivity with a dissipativity of discrete-time uncertain singular systems is derived. A low-order robust passive filter design method is proposed by new reduced-order method and LMI(linear matrix inequality) technique on the basis of the obtained BRL. Finally, illustrative examples are presented to show the applicability of the proposed method.

변수 불확실성을 가지는 특이시스템의 강인 비약성 $H_{\infty}$ 출력궤환 제어 (Robust Non-Fragile $H_{\infty}$ Output Feedback Control for Descriptor Systems with Parameter Uncertainties)

  • 김종해
    • 전기학회논문지
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    • 제56권2호
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    • pp.389-395
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    • 2007
  • In this paper, we consider the robust non-fragile $H_{\infty}$ output feedback controller design method for uncertain descriptor systems with feedback and observer gain variations. The existence condition of observer-based robust and non-fragile $H_{\infty}$ output feedback controller and the controller design method are Presented on the basis of linear matrix inequality approach. The proposed robust non-fragile $H_{\infty}$ output feedback controller guarantees asymptotic stability, non-fragility, $H_{\infty}$ norm bound within a prescribed level in spite of disturbance, parameter uncertainty, and feedback/observer gain variations.

샘플치 퍼지 제어기를 이용한 이산 퍼지 시스템 제어 (Sampled Fuzzy Controller for discrete networked control systems)

  • 송민국;박진배;김종선;주영훈
    • 대한전기학회:학술대회논문집
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    • 대한전기학회 2008년도 제39회 하계학술대회
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    • pp.1783-1784
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    • 2008
  • This paper presents a novel control technique to deal with networked control systems with neutral timedelay, which is known to highly degrade the control performance of the controlled system. The stability analysis and design method for a sampled-data fuzzy controller for discrete networked control systems (NCS). The neutral time-delay and sampling activity will complicate the NCS. And it make the stability analysis much more difficult than that for a continuous-time NCS. Based on the fuzzy control approach, linear matrix inequality (LMI)-based stability conditions are derived to guarantee the neutral T-S fuzzy system stability. The simulation results and practical experiments illustrate that the proposed controller design is realistic.

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T-S Fuzzy Tracking Control of Surface-Mounted Permanent Magnet Synchronous Motors with a Rotor Acceleration Observer

  • Jung, Jin-Woo;Choi, Han-Ho;Kim, Tae-Heoung
    • Journal of Power Electronics
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    • 제12권2호
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    • pp.294-304
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    • 2012
  • This paper proposes a fuzzy speed tracking controller and a fuzzy rotor angular acceleration observer for a surface-mounted permanent magnet synchronous motor (SPMSM) based on the Takagi-Sugeno (T-S) fuzzy model. The proposed observer-based controller is robust to load torque variations since it utilizes rotor angular acceleration information instead of the load torque value. Linear matrix inequality (LMI) sufficient conditions are given to compute the gain matrices of the speed tracking controller and the observer. In addition, it is mathematically verified that the proposed observer-based control system is asymptotically stable. Simulation and experimental results are presented to confirm that the proposed control algorithm assures a better transient behavior and less sensitivity under model parameter variations than the conventional PI control method.

Intelligent Digitally Redesigned Fuzzy Controller

  • Joo, Young-Hoon;Lee, Yeun-Woo;Cha, Dai-Bum;Oh, Jae-Heung
    • International Journal of Fuzzy Logic and Intelligent Systems
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    • 제2권3호
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    • pp.220-226
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    • 2002
  • In this paper, we develop the intelligent digitally redesigned fuzzy controller for nonlinear systems. Takagi-Sugeno (TS) fuzzy model is used to model the nonlinear systems and a continuous-time fuzzy-model-based controller is designed based on the extended parallel-distributed-compensation(EPDC) method . The digital controllers are determined from existing analogue controllers. The proposed method provides an accurate and effective method for digital control of continuous-time nonlinear systems and enables us to efficiently implement a digital controller via the pre-determined continuous-time 75 fuzzy-model-based controller. We have applied the proposed method to the duffing forced oscillation system to show the effectiveness and feasibility of the proposed method.

상태변수와 입력변수에 시간지연을 갖는 불확정 동적 시스템의 제어기 설계 (Delay-Dependent Stabilization for Uncertain Dynamic Systems with State and Input Delays)

  • 조현주;박주현
    • 대한전기학회논문지:시스템및제어부문D
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    • 제54권4호
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    • pp.215-219
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    • 2005
  • This paper aims at asymptotic stabilization for uncertain dynamic systems with state and input delays. We propose a memoryless state feedback controller which maximizes the delay bound for guaranteeing stability of the system. Using Lyapunov method and linear matrix inequality (LMI) approach, a delay-dependent stabilization criterion is devised by taking the relationship between the terms in the Leibniz-Newton formula into account. The criterion is represented in terms of LMIs, which can be solved by various efficient convex optimization algorithms. Numerical examples are given to illustrate our main method.

비선형 불확실성 시간지연 시스템의 퍼지 견실 $H^{\infty}$제어기 설계 (Fuzzy Robust$H^{\infty}$ Controller Design of Nonlinear Uncertain Time Delay Systems)

  • 김종해;이형호;박홍배
    • 전자공학회논문지S
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    • 제36S권5호
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    • pp.30-41
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    • 1999
  • 본 논문에서는 연속시간과 이산시간에서 파라미터 불확실성과 시간지연을 가지는 비선형시스템에 대한 퍼지 견실 H∞ 제어기 설계방법을 제시한다. 비선형시스템은 변형한 T-S(Takagi- Sugeno) 퍼지모델을 사용하여 나타내고, 퍼지제어는 PDC(parallel distributed compensation) 개념을 이용한다. 또한 Lyapunov 접근방법을 이용하여 불확실성, 외란과 시간지연을 가지는 변형한 T-S 퍼지모델의 H∞ 노옴 한계를 가지는 자승적 안정성을 언급하고, LMI(linear matrix inequality) 기법을 이용하여 퍼지 견실 H∞ 제어기의 존재 조건과 제어기 설계방법을 제시한다. 그러므로 제시한 기법은 구하여진 충분조건을 만족하는 해를 찾음과 동시에 제어기를 한번에 설계할 수 있다. 마지막으로 예제를 통하여 제시한 방법의 타당성을 확인한다.

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선형행렬부등식을 이용한 비선형 시스템의 TS 퍼지 제어기 설계 (Design of Takagi-Sugeno Fuzzy Controllers for Nonlinear Systems using LMIs)

  • 김진성;최익;윤태웅
    • 대한전기학회:학술대회논문집
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    • 대한전기학회 2000년도 하계학술대회 논문집 D
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    • pp.2398-2400
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    • 2000
  • In this paper, we consider multi-objective synthesis of fuzzy controllers for a widely used special class of the Takagi-Sugeno(TS) fuzzy systems. We propose a new fuzzy controller utilizing the strategy of rescaling and show that synthesis of the proposed controllers satisfying multiple design objectives can be reduced to a simple linear matrix inequality(LMI) problem. Finally, an application to an inverted pendulum on a cart is presented to illustrate the validity of the proposed method.

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$H_{\infty}$ 성능을 고려한 흡인식 자기부상 시스템의 PID 제어기 설계 (A PID Controller Design for an Attracton Type Magnetic Levitation System Considering $H_{\infty}$ Performance)

  • 김석주;김춘경;김종문;박민국
    • 대한전기학회:학술대회논문집
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    • 대한전기학회 2001년도 하계학술대회 논문집 D
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    • pp.2120-2122
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    • 2001
  • This paper describes a PID controller for an attraction type magnetic levitation system considering $H^{\infty}$ performance. PID controllers are a kind of fixed structure reduced order controllers. Using change of variables a reduced order control problem can be recast into a static output feedback control problem and can be solved efficiently by LMI(Linear Matrix Inequality) method. In this paper, cone complementarity method is adopted and the simulation shows good results.

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Torque Sensorless Decentralized Position/Force Control for Constrained Reconfigurable Manipulator via Non-fragile H Dynamic Output Feedback

  • Zhou, Fan;Dong, Bo;Li, Yuanchun
    • Journal of Electrical Engineering and Technology
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    • 제13권1호
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    • pp.418-429
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    • 2018
  • This paper studies the decentralized position/force control problem for constrained reconfigurable manipulator without torque sensing. A novel joint torque estimation scheme that exploits the existing structural elasticity of the manipulator joint with harmonic drive model is applied for each joint module. Based on the estimated joint torque and dynamic output feedback technique, a decentralized position/force control strategy is presented. In order to solve the problem of controller parameter perturbation, the non-fragile robust technique is introduced into the dynamic output feedback controller. Subsequently, the stability of the closed-loop system is proved using the Lyapunov theory and linear matrix inequality (LMI) technique. Finally, two 2-DOF constrained reconfigurable manipulators with different configurations are applied to verify the effectiveness of the proposed control scheme in numerical simulation.