• Title/Summary/Keyword: $H_{\infty}$Controller

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The Robust Controller Design for Nuclear Steam Generator Using $H_{\infty}$ Control Theory

  • Yook, Seong-Hoon;Lee, Un-Chul;Park, Jung-In
    • Proceedings of the Korean Nuclear Society Conference
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    • 1996.05a
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    • pp.367-373
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    • 1996
  • H$_{\infty}$ robust control theory is applied to the nuclear steam generator level control. Nuclear steam generator has the properties such as nonlinearity, non-minimum phase, and so, has some difficulties on level control. In a nuclear plant, it is more important to keep the operating variables under certain safety limits against various uncertainties than to meet the optimal performance. The designed H$_{\infty}$ controller shows robust level control against modelling error, disturbance in the nonlinear simulation. As the H$_{\infty}$ controller has both robustness and design transparency, it is adequate to the automation of level control and in licensibility

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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.

The Control of Spring-Mass-Damper Convergence System using H Controller and μ-Synthesis Controller (H 제어와 μ-합성 제어를 이용한 스프링-질량-감쇠 융합시스템 제어)

  • Jung, Sunghun
    • Journal of the Korea Convergence Society
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    • v.8 no.5
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    • pp.1-11
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    • 2017
  • With a given spring-mass-damper system, $H_{\infty}$ and ${\mu}$-synthesis control methods are used to build system controllers which minimize vibrations at two major natural frequencies in two cases; without uncertainty; with 20% uncertainty. In order to check the stability and performance of two controllers, those are examined using GM and PM values. The signal strength of output responses is compared using the concept of central numerical differentiation and then results are quantified using the RMS method. Lastly, 40 random samples of $H_{\infty}$ and ${\mu}$-synthesis controllers are obtained for three different $W_{per\;f1}$ weighting functions and drawn in the time domain in order to compare the stability. Overall, ${\mu}$-synthesis controller manages the vibrations much better than $H_{\infty}$ controller according to the robust stability and performance values obtained by simulating random samples of 40 plant models.

Mixed $H_{2}/H_{\infty}$ Controller Design for Descriptor Systems (디스크립터 시스템을 위한 혼합 $H_{2}/H_{\infty}$제어기의 설계)

  • Choe, Yeon-Wook
    • The Transactions of the Korean Institute of Electrical Engineers D
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    • v.53 no.7
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    • pp.483-490
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    • 2004
  • The descriptor system model has a high ability in representing dynamical systems. It can preserve physical parameters in the coefficient matrices, and describe the dynamic part, static part, and even the improper part of the system in the same form. The design of mixed $H_{2}/H_{\infty}$ controllers for linear time-invariant descriptor systems is considered in this paper. Firstly, an $H_2$ and $H_{\infty}$ synthesis problems fur a descriptor system are presented separately in terms of linear matrix inequalities (LMIs) based on the bounded real lemma. Then, we show that the existence of a mixed $H_2/H_{\infty}$ controller by which the $H_2$ norm of the second channel is minimized while keeping the $H_2$ norm bound of the first channel less than ${\gamma}$, is reduced to the linear objective minimization problem. The class of desired controllers that are assumed to have the same structure as the plant is parameterized by using the linearizing change of variables.

Robust $H^{\infty}$ control for parameter uncertain time-varying systems with time-varying delays in state and control input (파라미터 불확실성 시변 시간지연 시스템에 대한 견실 $H^{\infty}$ 제어)

  • 김기태;김종해;박홍배
    • 제어로봇시스템학회:학술대회논문집
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    • 1997.10a
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    • pp.113-116
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    • 1997
  • In this paper, we present a robust $H^{\infty}$ controller design method for parameter uncertain time-varying systems with disturbance and that have time-varying delays in both state and control. It is found that the problem shares the same formulation with the $H^{\infty}$ control problem for systems without uncertainty. Through a certain differential Riccati inequality approach, a class of stabilizing continuous controller is proposed. For parameter uncertainties, disturbance and time varying delays, proposed controllers the plant and guarantee an $H^{\infty}$ norm bound constraint on disturbance attenuation for all admissible uncertainties. Finally a numerical example is given to demonstrate the validity of the results.ts.

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Output feedback $H^\infty$ controller design for linear systems with delayed state (상태지연 선형시스템에 대한 출력되먹임 $H^\infty$ 제어기 설계)

  • Jeong, Eun-Tae;Oh, Do-Chang;Park, Hong-Bae
    • Journal of Institute of Control, Robotics and Systems
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    • v.3 no.2
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    • pp.109-114
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    • 1997
  • In this paper, we present an output feedback $H^\infty$controller design method and derive the sufficient condition of the bounded real lemma for linear systems with multiple delays in states. For state delayed systems, sufficient conditions for the existence $\kappa$-th order $H^\infty$controllers are given in terms of three linear matrix inequalities(LMIs). Furthermore, we show how to construct such controllers from the positive definite solutions of their LMIs and given an example to illustrate the validitiy of the proosed design procedure.

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Delay dependent fuzzy $H_{\infty}$ control of delayed nonlinear systems with parameter uncertainty (파라미터 불확실성을 갖는 시간지연 비선형시스템의 지연종속 퍼지 $H_{\infty}$ 제어)

  • Lee, Kap-Rai;Kim, Tae-Sik;Lee, Hae-Chang
    • Proceedings of the KIEE Conference
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    • 2004.11c
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    • pp.110-113
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    • 2004
  • A delay dependent fuzzy $H_{\infty}$ controller design method for delayed nonlinear systems with parameter uncertainty is considered. Using delay-dependent Lyapunov function the asymptotical stability and $H_{\infty}$n performance problem :are discussed. A sufficient condition for the existence of fuzzy controller is presented in terms of linear matrix inequalities(LMIs). A simulation example through radar gimbal system is given to illustrate the design procedures and performances of the prosed methods.

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$H{\infty}$-force control of a artificial finger with distributed force sensor and piezoelectric actuator (분포센서를 가진 인공지의 $H{\infty}$-힘제어)

  • ;;;;Seiji Chonan
    • Journal of KSNVE
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    • v.6 no.5
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    • pp.555-565
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    • 1996
  • This paper is concerned with the theoretical and experimental study on the force control of a miniature robotic finger that grasps an object at three other positions with the fingertip. The artificial finger is a uniform flexible cantilever beam equipped with a distributed set of compact grasping force sensors. Control action is applied by a piezoceramic bimorph strip placed at the base of the finger. The mathematical model of the assembled electro- mechanical system is developed. The distributed sensors are described by a set of concentrated mass-spring system. The formulated equations of motion are then applied to a control problem in which the finger is commanded to grasp an object. The H$_{\infty}$-controller is introduced to drive the finger. The usefulness of the proposed control technique is verified by simulation and experiment..

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New Speed Control of 2-Mass System using $H_{\infty}$ Filter ($H_{\infty}$필터를 이용한 2관성계의 새로운 속도제어)

  • Kim, Jin-Soo;Kim, Young-Bong;Kim, Young-Jo;Shin, Jae-Hwa;Kim, Young-Seok
    • Proceedings of the KIEE Conference
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    • 2001.07b
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    • pp.1098-1100
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    • 2001
  • 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, $H_{\infty}$ controller was designed. In this paper, $H_{\infty}$ control of 2-mass system using $H_{\infty}$ filter for compensating shaft torque is proposed. Pole-zero maps show the validity of proposed controller.

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Design of an Adaptive $H_{\infty}$ Controller for Linear Induction Motor

  • Hyun, Keun-Ho;Son, In-Hwan
    • 제어로봇시스템학회:학술대회논문집
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    • 2005.06a
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    • pp.598-603
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    • 2005
  • In this study, an adaptive control scheme with a pre-specified $H_{\infty}$ property is proposed for the tracking control of linear induction motor (LIM) drive system. Under the influence of uncertainties and external disturbances, by using nonlinear decoupling and parameter tuner, the robust performance control problem is formulated as a nonlinear $H_{\infty}$ problem and solved by a quadratic storage function. This new design method is able to track the step and several periodic commands with improved performance in face of parameter perturbations and external disturbances. Simulation and experimental results are provided to demonstrate the effectiveness of the proposed adaptive $H_{\infty}$ controller.

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