• Title/Summary/Keyword: State Feedback Controller

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L-gained State Feedback Control for Continuous Fuzzy Systems with Time-Delay (시간 지연 연속 시간 퍼지 시스템에 대한 L-이득값 상태 궤환 제어)

  • Lee, Dong-Hwan;Joo, Young-Hoon;Park, Jin-Bae
    • Journal of the Korean Institute of Intelligent Systems
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    • v.18 no.6
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    • pp.762-767
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    • 2008
  • This paper introduces a $L_{\infty}$-gain state feedback fuzzy controller design for the time delay nonlinear system represented by Takagi-Sugeno(T-S) fuzzy model. First, the T-S fuzzy model is employed to represent the time delay nonlinear system. Next based on the fuzzy model, a fuzzy state feedback controller is developed to achieve $L_{\infty}$-gain performance. Finally, sufficient conditions are derived for $L_{\infty}$-gain performance. The sufficient conditions are formulated in the format of linear matrix inequalities (LMIs). The effectiveness of the proposed controller design methonology is finally demonstrated through numerical simulations.

H control of 2-mass system using partial state feedback and resonance ratio control (부분적인 상태궤환과 공진비제어를 이용한 2관성계의 H제어)

  • 김진수;유상봉
    • Journal of the Korean Institute of Illuminating and Electrical Installation Engineers
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    • v.17 no.4
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    • pp.36-44
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    • 2003
  • In the industrial motor drive system which is composed of a motor and load connected with a flexible shaft, a torsional vibration is often generated because of the elastic elements in torque transmission. To solve this problem, the two degrees of freedom H$_{\infty}$ controller was designed. But it is difficult to realize that controller. In this paper, H$_{\infty}$ control of 2-mass system using partial state feedback and resonance ratio control is proposed. Proposed controller has simple structure but satisfies the attenuation of disturbances and vibrations.

A TSK Fuzzy Controller for Underwater Robots

  • Kim, Su-Jin;Oh, Kab-Suk;Lee, Won-Chang;Kang, Geun-Taek
    • Proceedings of the Korean Institute of Intelligent Systems Conference
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    • 1998.06a
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    • pp.320-325
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    • 1998
  • Underwater robotic vehicles (URVs) have been an important tool for various underwater tasks because they have greater speed, endurance, depth capability, and safety than human divers. As the use of such vehicles increases, the vehicle control system becomes one of the most critical subsytems to increase autonomy of the vehicle. The vehicle dynamics are nonlinear and their hydrodynamic coefficients are often difficult to estimate accurately. In this paper a new type of fuzzy model-based controller based on Takagi-Sugeno-Kang fuzzy model is designed and applied to the control of of an underwater robotic vehicle. The proposed fuzzy controller : 1) is a nonlinear controller, but a linear state feedback controller in the consequent of each local fuzzy control rule ; 2) can guarantee the stability of the closed-loop fuzzy system ; 3) is relatively easy to implement. Its good performance as well as its robustness to the change of parameters have been shown and compared with the re ults of conventional linear controller by simulation.

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Dynamic State Feedback Controller Synthesis for Fuzzy Models (퍼지 모델을 위한 동적 상태 피드백 제어기 설계)

  • Chang, Wook;Joo, Young-Hoon;Park, Jin-Bae
    • Proceedings of the KIEE Conference
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    • 1999.07b
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    • pp.528-530
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    • 1999
  • This paper addresses the analysis and design of fuzzy control systems for a class of complex single input single output nonlinear systems. Firstly, the nonlinear system is represented by well-known Takagai-Sugeno (TS) fuzzy model and the global controller is constructed by compensating each linear model in the rule of TS fuzzy model. The design of conventional TS fuzzy-model-based controller usually is composed of two processes. One is to determine static state feedback gain of each local model and the other is to validate the stability of the designed fuzzy controller. In this paper, we propose an alternative of the design of TS fuzzy-model-based controller. The design scheme is based on the extension of conventional optimal control theory to the design of TS fuzzy-model-based controller. By using the proposed method the design and stability analysis of the TS fuzzy model-based controller is reduced to the problem of finding the solution of a set of algebraic Riccati equations. And we use the recently developed interior point method to find the solution of AREs, where AREs are recast as the LMI formulation. One simulation example is given to show the effectiveness and feasibility of the proposed fuzzy controller design method.

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Output feedback semiglobal stabilization for a nonlinear system (광범위한 안정 영역을 갖는 출력만을 이용한 제어기 설계)

  • 오성록
    • Journal of the Korean Institute of Telematics and Electronics S
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    • v.34S no.9
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    • pp.60-66
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    • 1997
  • WE consider the stabilization of a class of multivariable nonlinear system using variable structure output feedback control. A high-gain observer is used to estimate state variable while rejecting the effect of the disturbances. We design a globally bounded output feedback variable structure controller that semi-globally stabilize the closed-loop system, while state variables do not exhibit a peaking.

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Optimal controller design for active suspension system with asymmetric hydraulic cylinder using feedback linearization (비대칭형 유압실린더를 사용한 능동현가 시스템에서의 Feedback Linearization을 이용한 최적 제어기 설계)

  • Jang, Yu-Jin;Kim, Sang-Woo;Park, Poo-Gyeon
    • 제어로봇시스템학회:학술대회논문집
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    • 1997.10a
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    • pp.644-647
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    • 1997
  • Asymmetric cylinders are usually used as an actuator of active suspensions. The conventional optimal controller design does not include actuator dynamics as a state and force controller is needed to track the desired force. But the actuator is not ideal, so performance of an active suspension system is degraded. In this paper, we take account nonlinear actuator dynamics and obtain a linear model using a feedback linearization technique then apply optimal control method. Effectiveness of proposed method is demonstrated by numerical simulation of 1/4 car model.

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ROBUST OUTPUT FEEDBACK $H\infty$ CONTROL FOR UNCERTAIN DELAYED SINGULAR SYSTEMS

  • Kim, Jong-Hae;Lim, Jong-Seul
    • Journal of applied mathematics & informatics
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    • v.20 no.1_2
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    • pp.513-522
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    • 2006
  • This paper considers a robust output feedback $H\infty$ controller design method for singular systems with time-varying delay in state and parameter uncertainty in system matrix by an LMI approach and observer based technique, which can be solved efficiently by convex optimization. The sufficient condition for the existence of controller and the controller design method are presented by strict LMI(linear matrix inequality) approach. Since the obtained condition can be expressed as an LMI form, all variables including feedback gain and observer gain can be calculated simultaneously by Schur complement and changes of variables.

Design and Analysis of a State Feedback Controller for a Chain of Integrators System under Measurement Noise (측정에러가 있는 적분기 시스템에서의 상태 궤환 제어기 설계 및 분석)

  • Youn, Jae-Seung;Choi, Ho-Lim
    • Journal of Institute of Control, Robotics and Systems
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    • v.16 no.10
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    • pp.969-974
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    • 2010
  • In this paper, we propose a fault-tolerant controller for compensating measurement noise of feedback sensor. Because control systems operate via feedback sensor's signal, the measurement noise in sensor's signal results in performance degradation or even system failure. Therefore, control systems often demand on compensating measurement noise. Our controller is equipped with a compensator in order to reject or reduce the effect of measurement noise in feedback information. Our proposed method is verified via simulation and experiment for a Ball and Beam system.

Mixed $H_2$/$H_{\infty}$ Output Feedback Controller Design for Time-Delayed System (시간지연 시스템에 대한 혼합 $H_2$/$H_{\infty}$ 출력궤환 제어기 설계)

  • 양혜진;김종해;조용철;박흥배
    • 제어로봇시스템학회:학술대회논문집
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    • 2000.10a
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    • pp.331-331
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    • 2000
  • This paper presents the mixed $H_2/H_{\infty}$ output feedback controIler design method for linear systems with delayed state. The objective is to design the output feedback controller which minimizes the H$_2$-norm of one transfer function while ensuring the H$_{\infty}$-norm of the other is held below a chosen level. When objective is tormulated in terms of a common Lyapunov function, the sufficient conditions of existence of mixed $H_2/H_{\infty}$ controller are given in terms of LMIs. terms of LMIs.

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Position Control of a 1/4 Car Suspension Simulator using a Feedback Linearization Controller (피드백 선형화 제어기를 사용한 1/4 차량 현가장치 시뮬레이터의 위치 제어)

  • Kim, T.H.;Lee, I.Y.
    • Journal of Drive and Control
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    • v.9 no.3
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    • pp.8-15
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    • 2012
  • In the study, a control strategy using a feedback linearization compensator and a disturbance observer was suggested and applied to a hydraulic control system for a vehicle suspension simulator. Although the hydraulic system has comparatively big external loads composed by constant and varying loads, it is ascertained that excellent control performances are obtained with the suggested control strategy.