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

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헬리콥터 시스템의 지능형 디지털 재설계 (Intelligent Digital Redesign for Helicopter System)

  • 성화창;박진배;주영훈
    • 대한전기학회:학술대회논문집
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    • 대한전기학회 2005년도 제36회 하계학술대회 논문집 C
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    • pp.2453-2455
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    • 2005
  • We represent an efficient intelligent digital redesign method for a Takagi-Sugeno (T-S) fuzzy system Intelligent digital redesign means that an existing analog fuzzy-model-based controller converts to equivalent digital counter part in the sense of state-matching. The proposed method performs previous work, moreover, it allows re matching the states of the overall closed-loop T-S fuzzy system with the predesigned analog fuzzy-model-based controller. And the problem of stability represent convex optimization problem and cast into linear matrix inequality (LMI) framework. This method applies to the helicopter systems which are the nonlinear plant and determine the feasibility and effectiveness of the proposed method.

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이산시간 불확실 특이시스템의 유한시간 강인 산일성 상태궤환 제어기 설계 (Robust Finite-time Dissipative State Feedback Controller Design for Discrete-time Uncertain Singular Systems)

  • 김종해;오도창
    • 전기학회논문지
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    • 제64권11호
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    • pp.1598-1604
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    • 2015
  • In this paper, we treat the problem of a robust finite-time dissipative state feedback controller design method for discrete-time singular systems with polytopic uncertainties. A BRL(bounded real lemma) for finite-time stability of discrete-time singular systems is derived. A finite-time dissipative state feedback controller design method satisfying finite-time stability and dissipativity is proposed by LMI(linear matrix inequality) technique on the basis of the obtained BRL. Moreover it is shown that the obtained condition can be extended into polytopic uncertain systems by proper manipulations. Finally, illustrative examples are given to show the applicability of the proposed method.

불확실한 TS 퍼지 시스템을 위한 강인한 추종 제어기의 설계 (Robust Tracking Controller Design for TS Fuzzy System with Uncertaintie)

  • 전상원;이상준;주영훈;박진배
    • 대한전기학회:학술대회논문집
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    • 대한전기학회 2001년도 하계학술대회 논문집 D
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    • pp.1955-1957
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    • 2001
  • This paper propose the design method of robust tracking controller for nonlinear TS fuzzy system with uncertainties. The robust tracking controller design is presented by constraint of robust stability for nonlinear system. A sufficient condition of the robust stability is presented by LMI(Linear Matrix Inequality) soltuion in the sense of Lyapunov for TS fuzzy system with uncertainties. The effectiveness of the proposed robust tracking con design is demonstrated through a numerical simulatio.

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헬리콥터 시스템의 지능형 디지털 재설계 (Intelligent Digital Redesign for Helicopter System)

  • 성화창;박진배;주영훈
    • 대한전기학회:학술대회논문집
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    • 대한전기학회 2005년도 제36회 하계학술대회 논문집 B
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    • pp.1811-1813
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    • 2005
  • We represent an efficient intelligent digital redesign method for a Takagi-Sugeno(T-S) fuzzy system. Intelligent digital redesign means that an existing analog fuzzy-model-based controller converts to equivalent digital counter part in the sense of state-matching. The proposed method performs previous work, moreover, it allows to matching the states of the overall closed-loop T-S fuzzy system with the predesigned analog fuzzy-model-based controller. And the problem of stability represent convex optimization problem and cast into linear matrix inequality(LMI) framework. This method applies to the helicopter systems which are the nonlinear plant and determine the feasibility and effectiveness of the proposed method.

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사이버공격에 강인한 사이버물리시스템의 제어 (Control of Cyber-Physical Systems Under Cyber-Attacks)

  • 이태희
    • 대한임베디드공학회논문지
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    • 제14권5호
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    • pp.269-275
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    • 2019
  • This paper addresses the control problem of cyber-physical systems under controller attack. A novel discontinuous Lyapunov functionals are employed to fully utilize sampled-data pattern which characteristic is commonly appeared in cyber-physical systems. By considering the limited resource of networks, cyber-attacks on the controller are considered randomly occurring and are described as an attack function which is nonlinear but assumed to be satisfying Lipschitz condition. Novel criteria for designing controller with robustness for cyber-attacks are developed in terms of linear matrix inequality (LMI). Finally, a numerical example is given to prove the usefulness of the proposed method.

Active TMD systematic design of fuzzy control and the application in high-rise buildings

  • Chen, Z.Y.;Jiang, Rong;Wang, Ruei-Yuan;Chen, Timothy
    • Earthquakes and Structures
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    • 제21권6호
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    • pp.577-585
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    • 2021
  • In this research, a neural network (NN) method was developed, which combines H-infinity and fuzzy control for the purpose of stabilization and stability analysis of nonlinear systems. The H-infinity criterion is derived from the Lyapunov fuzzy method, and it is defined as a fuzzy combination of quadratic Lyapunov functions. Based on the stability criterion, the nonlinear system is guaranteed to be stable, so it is transformed to be a linear matrix inequality (LMI) problem. Since the demo active vibration control system to the tuning of the algorithm sequence developed a controller in a manner, it could effectively improve the control performance, by reducing the wind's excitation configuration in response to increase in the cost efficiency, and the control actuator.

수상선박의 위치 및 자세제어시스템 설계에 관한 연구 : 강인제어기법에 의한 관측기 설계 (Dynamic Positioning Control System Design for Surface Vessel: Observer Design Based on H Control Approach)

  • 김영복
    • 대한기계학회논문집A
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    • 제36권10호
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    • pp.1171-1179
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    • 2012
  • 본 논문에서는 선박운동제어를 위한 제어시스템 설계문제에 대해 고찰한다. 특히 강인한 추종성능을 가진 2자유도 서보계 설계법을 이용하여 선박의 위치 및 자세제어를 위한 제어기를 설계하고, 실험 등의 실제적인 제어시스템 구축시 센서로부터 모든 정보를 획득할 수 없으므로 이에 필요한 상태를 추정하기 위한 관측기 설계 문제에 대해 고려하고 있다. 그래서 본 논문에서는 실제 상태정보와 추정된 상태정보와의 오차를 최소화하도록 $H_{\infty}$ 오차 바운드를 설정하는 기법으로 관측기의 이득을 구한다. 특히 $H_{\infty}$ 오차 바운드를 만족하는 관측기가 존재하기 위한 조건을 LMI형식으로 변환하여 표현함으로써 관측기 이득 계산을 효율적으로 수행하여 최적의 이득을 구할 수 있음을 보이고 시뮬레이션을 통해 그 유용성을 확인한다.

Path following of a surface ship sailing in restricted waters under wind effect using robust H guaranteed cost control

  • Wang, Jian-qin;Zou, Zao-jian;Wang, Tao
    • International Journal of Naval Architecture and Ocean Engineering
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    • 제11권1호
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    • pp.606-623
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    • 2019
  • The path following problem of a ship sailing in restricted waters under wind effect is investigated based on Robust $H_{\infty}$ Guaranteed Cost Control (RHGCC). To design the controller, the ship maneuvering motion is modeled as a linear uncertain system with norm-bounded time-varying parametric uncertainty. To counteract the bank and wind effects, the integral of path error is augmented to the original system. Based on the extended linear uncertain system, sufficient conditions for existence of the RHGCC are given. To obtain an optimal robust $H_{\infty}$ guaranteed cost control law, a convex optimization problem with Linear Matrix Inequality (LMI) constraints is formulated, which minimizes the guaranteed cost of the close-loop system and mitigates the effect of external disturbance on the performance output. Numerical simulations have confirmed the effectiveness and robustness of the proposed control strategy for the path following goal of a ship sailing in restricted waters under wind effect.

퍼지 제어 시스템의 완화된 안정조건에 관한 연구 (A Study on the Relaxed Stability of Fuzzy Control Systems)

  • 김은태;이창훈;박민용
    • 전자공학회논문지CI
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    • 제37권5호
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    • pp.11-18
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    • 2000
  • 본 논문에서는 퍼지 제어 시스템의 2차 안정도를 판정하는 새로운 방법을 제안한다. 퍼지 부 시스템간의 상호 작용을 선형행렬부등식을 이용하여 수치적으로 다룸으로서 제안한 방법은 안정도가 보장되는 퍼지 시스템의 영역을 넓히는 결과를 갖는다. 기존의 방식과 비교하여 제안된 안정조건은 기존의 안정조건을 완화한 것으로 엄밀한 방식으로 제안된 방식이 기존의 방식을 포함한 완화된 조건임을 보인다.

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가중적분을 이용한 IPMSM의 T-S 퍼지 제어 (T-S Fuzzy Control of IPMSM using Weighted Integral Action)

  • 황태환;김태규;박승규;안호균;윤태성;곽군평
    • 한국정밀공학회지
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    • 제31권2호
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    • pp.105-112
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    • 2014
  • This paper proposes a novel $H{\infty}$ T-S Fuzzy controller with a weighted integral action for Interior Permanent Magnet Synchronous Motor(IPMSM) which have nonlinear dynamics. The $H{\infty}$ T-S Fuzzy controller is used for the robustness of nonlinear systems and the weighted integral action is used for the tracking problem and the improvement of control performance. A T-S Fuzzy controller is designed by combining the local controllers with the overall stability, and LMI(Linear Matrix Inequality)is used to determine the gains of linear controllers. The tracking problem of IPMSM is changed into regulator problem by introducing the integral action and the weighting factor gives flexibility to a $H{\infty}$ fuzzy controller.