• 제목/요약/키워드: 선형행렬부등식

검색결과 92건 처리시간 0.029초

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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원전 증기발생기 수위제어계통의 고장검출 시스템 설계 (A Fault Detection System Design for Nuclear Steam Generator Level Control System)

  • 류석환;최병재
    • 한국지능시스템학회논문지
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    • 제16권2호
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    • pp.191-197
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    • 2006
  • 본 논문에서는 원저 증기발생기 수위제어계통을 위한 고장검출 시스템을 설계한다. 이를 위하여 증기발생기 수위제어계통의 비선형 동적방정식을 미지의 매개변수를 갖는 T-S 퍼지시스템으로 모델링하고 좌 소인수 분해를 이용하여 오차발생기를 설계한다. 고장검출의 성능을 향상시키기 위하여 고장검출 필터의 설계법을 제안한다. 제시한 방법의 효용성을 컴퓨터 모의실험을 통하여 입증한다.

불확실성을 갖는 MIMO 시스템을 위한 선형행렬부등식 기반 PID 제어기 설계 방법 (An LMI-based PID Control Design Method for Uncertain MIMO Systems)

  • 이재관;최한호
    • 제어로봇시스템학회논문지
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    • 제11권9호
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    • pp.750-754
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    • 2005
  • This paper deals with the design problem of multivariable PID controllers guaranteeing the closed-loop system stability and a prescribed $H_\infty$ norm bound constraint. We reduce the problem to the static output feedback stabilization problem. We derive a necessary and sufficient condition f3r the existence of PID controllers and we give an explicit formula of PID controllers. We also give an existence condition of PID controllers guaranteeing a prescribed decay rate. Finally, we give an LMI-based design algorithm, together with a numerical design example.

정밀 위치제어를 위한 상안정 외란관측기 설계 (All Stabilizing Disturbance Observer Design for Precise Position Control)

  • 서상민;김하용;김경호
    • 한국소음진동공학회논문집
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    • 제20권8호
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    • pp.710-716
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    • 2010
  • This note represents a new disturbance observer to reduce effects of external disturbances. In case of conventional disturbance observers, additional stabilizing filters, so-called Q-filter, should be used because the conventional ones don't guarantee stability. But, the proposed one doesn't need the stabilizing filter, which is a fundamentally different research result from previous methods. Experimental verifications show this approach is realizable and valid to enhance precise positioning.

제어입력 크기제한을 갖는 시스템에서 외란 응답 감소를 위한 이득 스케쥴 제어 - 안정화 제어 응용 (Gain Scheduled Control for Disturbance Attenuation of Systems with Bounded Control Input - Application to Stabilization Control)

  • 강민식
    • 한국정밀공학회지
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    • 제23권6호
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    • pp.88-95
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    • 2006
  • In this paper, the gain-scheduled control design proposed in the previous paper has been applied to a target tracking system. In such system, it is needed to attenuate disturbance effectively as long as control input satisfies the given constraint on its magnitude. The scheduled gains are derived in the framework of linear matrix inequality(LMI) optimization by means of the MatLab toolbox. Its effectiveness is verified along with the simulation results compared with the conventional optimum constant gain and the scheduled gain control with constant Q matrix cases.

제어입력 크기제한을 갖는 시스템에서 외란 응답 감소를 위한 이득 스케쥴 제어 - 이론 (Gain Scheduled Control for Disturbance Attenuation of Systems with Bounded Control Input - Theory)

  • 강민식
    • 한국정밀공학회지
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    • 제23권6호
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    • pp.81-87
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    • 2006
  • A new gain-scheduled control design is proposed to improve disturbance attenuation for systems with bounded control input. The state feedback controller is scheduled according to the proximity to the origin of the state of the plant. The controllers is derived in the framework of linear matrix inequality(LMI) optimization. This procedure yields a linear time varying control structure that allows higher gain and hence higher performance controllers as the state move closer to the origin. The main results give sufficient conditions for the satisfaction of a parameter-dependent performance measure, without violating the bounded control input condition.

제어입력 크기제한을 갖는 시스템에서 이득 스케줄 상태되먹임-외란앞먹임 제어 - 적용 (Gain Scheduled State Feedback and Disturbance Feedforward Control for Systems with Bounded Control Input - Application)

  • 강민식;윤우현
    • 한국정밀공학회지
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    • 제24권12호
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    • pp.65-73
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    • 2007
  • In this paper, the gain scheduled state feedback and disturbance feedforward control design proposed in the previous paper has been applied to a simple matching system and a turret stabilization system. In such systems, it is needed to attenuate disturbance response effectively as long as control input satisfies the given constraint on its magnitude. The scheduled control gains are derived in the framework of linear matrix inequality(LMI) optimization by means of the MatLab toolbox. Its effectiveness is verified along with the simulation results compared with the conventional optimum constant gain control and the scheduled state feedback control cases.

LMI를 이용한 선박 횡동요 제어에 관한 실험적 연구 (An Experimental Study on the Rolling Motion Control of a Ship Based on LMI Approach)

  • 채규훈;김영복
    • 한국해양공학회지
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    • 제17권2호
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    • pp.60-66
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    • 2003
  • In this paper, an actively controlled anti-rolling system is considered, in order to reduce the rolling motion of a ship. In this control system, a small auxiliary mass is installed on the upper area of the ship, and an actuator is connected between the auxiliary mass and the ship. The actuator reacts the auxiliary mass, applying inertial control forces to the ship to reduce the rolling motion in the desired manner. In this paper, we introduce LMI based H$_{\infty}$ control approach to design the anti-rolling control system for the controlled ship. And the experimental results show that the desirable control performance can be achieved.

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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제어입력 크기제한을 갖는 시스템에서 이득 스케쥴 상태되먹임-외란앞먹임 제어 (Gain Scheduled State Feedback and Disturbance Feedforward Control for Systems with Bounded Control Input)

  • 강민식
    • 대한기계학회:학술대회논문집
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    • 대한기계학회 2007년도 춘계학술대회A
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    • pp.915-920
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    • 2007
  • A new optimal state feedback and disturbance feedforward control design in the sense of minimizing $L_{2}-gain$ from disturbance to control output is proposed for disturbance attenuation of systems with bounded control input and measurable disturbance. The controller is derived in the framework of linear matrix inequality(LMI) optimization. A gain scheduled state feedback and disturbance feedforward control design is also suggested to improve disturbance attenuation performance. The control gains are scheduled according to the proximity to the origin of the state of the plant and the magnitude of disturbance. This procedure yields a stable linear time varying control structure that allows higher gain and hence higher performance controller as the state and the disturbance move closer to the origin. The main results give sufficient conditions for the satisfaction of a parameter-dependent performance measure, without violating the bounded control input condition.

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