• Title/Summary/Keyword: $H^\infty$control

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Tracking maneuvering target using robust H$\infty$filter (견실한 H$\infty$필터를 이용한 기동표적의 추적)

  • 김준영;유경상;권오규
    • 제어로봇시스템학회:학술대회논문집
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    • 1997.10a
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    • pp.426-429
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    • 1997
  • This paper proposes a robust H$_{\infty}$ tracking filter to improve the unacceptable target tracking performance for systems with parameter uncertainties. Also, we use here the input estimation approach to account for the possibility of maneuver. Simulation results show that the robust H$_{\infty}$ tracking filter which is proposed here to solve the systems with all system parameter uncertainties, has a good tracking performance for a maneuvering target tracking problem.m.

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H$\infty$ controller design for input-saturated linear systems

  • Choi, Ki-Hoon;Park, Hong-Bae
    • 제어로봇시스템학회:학술대회논문집
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    • 2001.10a
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    • pp.75.2-75
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    • 2001
  • In this paper, we provide the technique of H$\infty$ controller design algorithm for input-saturated linear systems using a linear parameter varying(LPV) framework. The LPV controller with parameter dependent dynamic state feedback controller concept guarantees the asymtotic stability and H$\infty$ norm bound within prescribed level v using the saturation nonlinearity as scheduling parameters. Especially, the sufficient conditions for the existence of H$\infty$ controller are formulated in terms of linear matrix inequalities(LMIs) that can be solved very efficiently.

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$H^{\infty}$-Optimal Design Using Hankel-Approximation (Hankel-근사화를 이용한 $H^{\infty}$--최적설계)

  • 이경준;윤한오;박홍배
    • 제어로봇시스템학회:학술대회논문집
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    • 1991.10a
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    • pp.34-39
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    • 1991
  • In this paper, we provide a treatment of the $H^{\infty}$-mixed sensitivity optimization approach to feedback system design. With compromising between the effect of a disturbance at the plant output and the effect of plant perturbations, we propose an algorithm to design robust controller. A $H^{\infty}$-optimization problem is to be equivalent to a Hankel-approximation, this enables the problem to be solved using state-space methods based on balanced realizations.s.

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H$\infty$ Optimal Controller Synthesis for an electromechanical actuator system (전기 기계 구동 시스템에 대한 H$\infty$ 최적 제어기 구성)

  • 김용규;유창근
    • Proceedings of the IEEK Conference
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    • 1999.06a
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    • pp.1117-1120
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    • 1999
  • In this paper, we design the H$\infty$ optimal controller satisfying robust stability and performance in spite of the plant uncertainty for an electro-mechanical actuator system and analyze the controller in frequency domain. H$\infty$ optimal controller K was designed using iteration algorithm suggested by DOYLE. Using the controller in an electro-mechanical actuator system, the joint with very small coupling rigidity coefficient was used to vary the control parameter. The plant unstructured uncertainty was assumed to be a multiplicative type.

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Output feedback $H^{\infty}$ contol for linear systems with delayed state and control input (상태와 제어입력에 시간지연을 가지는 선형 시스템의 출력궤환 H^\infty 제어)

  • 정은태;권성하;박홍배
    • 제어로봇시스템학회:학술대회논문집
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    • 1997.10a
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    • pp.688-691
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    • 1997
  • This paper presents an $H^{\infty}$ controller design method for linear time-invariant systems with delayed state and control. Using the second method of Lyapunov, the stability for delayed systems is discussed. For delayed systems, we derive a sufficient condition of the bounded real lemma(BRL) which is similar to BRL for nondelayed systems. And the sufficient conditions for the existence of an output feedback $H^{\infty}$ controller of any order are given in terms of three linear matrix inequalities(LMls). Futhermore, we briefly explain how to construct such controllers from the positive definite solutions of their LMIs and give a simple example to illustrate the validity of the proposed design procedure.e.

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Fuzzy-supervised nonlinear $H_{\infty}$ controller design for robot manipulator (로봇 매니퓰레이터를 위한 퍼지 감독자 비선형 $H_{\infty}$ 제어기의 설계)

  • 박광성;최윤호;박진배
    • 제어로봇시스템학회:학술대회논문집
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    • 1997.10a
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    • pp.143-146
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    • 1997
  • In this paper, we propose a fuzzy-supervised nonlinear H$_{\infty}$ controller which guarantees the robustness and has exact tracking performance for robot manipulator with system parameter uncertainty and exogenous disturbance, The proposed controller which is based on robotic H$_{\infty}$ controller has fuzzy supervisor which decides the optimal control input weighting value through fuzzy making-decision process. Owing to the fuzzy supervisor, The proposed controller can take the optimal control input. Then, we will apply the proposed controller to rigid robot manipulator to verify the performance of our controller.r.

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A study on the improvement of cutting precision of CNC system using $H_{\infty}$ 2-degree-of-freedom controller ($H_{\infty}$ 2 자유도 제어기를 이용한 CNC 시스템의 가공 정밀도 향상에 관한 연구)

  • 최성규;최병욱;현용탁;강성귀;권욱현
    • 제어로봇시스템학회:학술대회논문집
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    • 1996.10b
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    • pp.1040-1043
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    • 1996
  • The accuracy of the servo control in CNC system has a great influence on the duality of machine product. Tracking performance of the servo control is deteriorated mainly by the time delay of the servo system and the inertia of the work table or bed. Contouring errors occur in every interpolation steps by the effect of the tracking performance. In this paper, $H_{\infty}$ two-degree-of-freedom(TDF) controller is designed for improvement to improve the tracking performance. The designed controller is applied 3-axis machining center model and the cutting accuracy is simulated in case of corner cutting, circular and involute interpolation. Simulation results show that $H_{\infty}$ TDF controller designed in this paper has a good effect to improve tracking performance in CNC system.

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Design of Robust Controller Using Model Following Sliding Mode Without Matching Condition (정합조건을 만족하지 않는 모델 추종 슬라이딩 모드를 이용한 강인 제어기의 설계)

  • Kim, Min-Chan;Park, Seung-Kyu;Ahn, Ho-Kyun;Kwak, Gun-Pyong;Nam, Jing-Rak
    • Proceedings of the KIEE Conference
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    • 2004.07d
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    • pp.2191-2193
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    • 2004
  • The Sliding Mode Control is more robust and give the better performance than the $H_{\infty}$ control if the matching condition is satisfied. So in this paper, a controller which can have the advantages of $H_{\infty}$ control and the SMC is proposed to add the robustness of the SMC to the $H_{\infty}$ controller. The dynamic of proposed sliding surface is the same dynamic as the system controlled by $H_{\infty}$ controller without the uncertainties which satisfy the matching condition.

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Structure-Control Combined Design with Structure Intensity

  • Park, Jung-Hyen;Kim, Soon-Ho
    • International Journal of Ocean Engineering and Technology Speciallssue:Selected Papers
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    • v.6 no.1
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    • pp.60-68
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    • 2003
  • This paper proposes an optimum design method of structural and control systems, using a 2-D truss structure as an example. The structure is subjected to initial static loads and disturbances. For the structure, a FEM model is formed. Using modal transformation, the equation of motion is transformed into modal coordinates, in order to decrease D.O.F. of the FEM model. To suppress the effect of the disturbances, the structure is controlled by an output feedback $H_{\infty}$ controller. The design variables of the combined optimal design of the control-structure systems are the cross sectional areas of truss members. The structural objective function is the structural weight. The control objective function is the $H_{\infty}$ norm, the performance index of control. The second structural objective function is the energy of the response related to the initial state, which is derived from the time integration of the quadratic form of the state in the closed-loop system. In a numerical example, simulations have been perform. Through the consideration of structural weight and $H_{\infty}$ norm, an advantage of the combined optimum design of structural and control systems is shown. Moreover, since the performance index of control is almost nearly optimiz, we can acquire better design of structural strength.

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On Synthesizing low-order State Eestimators and Low-order $H{\infty}$ Filters

  • Choi, Byung-Wook
    • 제어로봇시스템학회:학술대회논문집
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    • 1995.10a
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    • pp.344-347
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    • 1995
  • The standard estimation and filtering theory are well known and has recently been incorporated with the H$_{\infty}$ optimization techniques where the parametrizations of all estimators and filters are utilized. The issue of reducing its order is always of interest. This paper presents a method for synthesizing low-order stable state estimators. The method presented in this paper is based on the utilization of a free parameter function contained in the parametrization of all state estimators. The results obtained in the paper are compared with standard results on low-order estimators. Both results are shown to be the same in a sense of its orders, but the approaches taken are largely different. It is also shown in the paper that the method can easily and directly be extended to the Kalman filters and the H$_{\infty}$ (sub)optimal filters. Consequently, the orders of all state estimators, Kalman filters, and H$_{\infty}$ filters are shown to be reduced down to the number of states minus the number of outputs, respectively.ly.

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