• Title/Summary/Keyword: mixed $H_2 /H_\infty$ controller

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Mixed $H_2/H_{\infty}$ Output Feedback Controller Design for PLL Loop Filter with Uncertainties and Time-delay (시간지연과 불확실성을 가지는 위상동기루프의 루프필터에 대한 혼합 $H_2/H_{\infty}$ 출력궤환 제어기 설계)

  • 이경호;한정엽;박홍배
    • Proceedings of the IEEK Conference
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    • 2003.07c
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    • pp.2589-2592
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    • 2003
  • In this paper, a robust mixed H$_2$/H$\_$$\infty$/ output feedback control method is applied to the design of loop filter for PLL carrier phase tracking. The proposed method successfully copes with large S-curve slope uncertainty and a significant decision delay in the closed-loop that may exist In modern receivers due to a convolutional decoder or an equalizer. The objective is to design an output feedback controller which minimizes the H$_2$performance while satisfying the H$\_$$\infty$/ performance to guarantee the gain margin and phase margin for linear time invariant(LTI) polytopic uncertain systems. LMIs based approach is given to solve this problem. We can verify the H$\_$$\infty$/ performance satisfaction and minimize the phase detector error through the simulation result.

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$\textrm{HO}_2$/$\textrm{H}_\infty$ optimal controller design using parameterization of $\textrm{HO}_2$ suboptimal controller ($\textrm{HO}_2$ 준최적제어기의 변수화를 이용한 혼합된 $\textrm{HO}_2$/$\textrm{H}_\infty$ 최적제어게 설계)

  • 류동기;방경호;윤한오;박홍배
    • 제어로봇시스템학회:학술대회논문집
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    • 1992.10a
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    • pp.754-759
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    • 1992
  • In this paper, we proposed a mixed H$_{2}$/H$_{\infty}$ optimal controller design method using the parameterization of H$_{2}$ suboptimal controller. The method is based on the minimization of H$_{2}$ performance measure with an H$_{\infty}$-norm constraint. We also derived the necessary and sufficient conditions for existence of solution from the decoupled Riccati equations. And the designed controller has state-space representation.n.

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쿨롱마찰을 갖는 유연 링크 로봇의 H$_2$ /H$_\infty$ 최적제어

  • 한성익;김종식
    • Proceedings of the Korean Society of Precision Engineering Conference
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    • 1996.11a
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    • pp.401-405
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    • 1996
  • A new method of nonlinear robust controller synthesis is introduced which is an extension of linear mixed $H_2/H_{\infty}$ control. This method guarantees robust stability fur hard nonlinearity and uncertainty of the plant. The method is applied to the control of a flexible link of robot with Coulomb friction. Simulation shows good performances with respect to the response and the robustness.

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Robust Servo System Design by $H_2/H_{\infty}$ Control - Application to Three Inertia Benchmark Problem- (혼합 $H_2/H_{\infty}$제어에 의한 강인한 서보시스템의 설계 -3관성 벤치마크문제의 해법 -)

  • Choe, Yeon-Wook
    • Journal of the Institute of Convergence Signal Processing
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    • v.6 no.3
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    • pp.148-156
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    • 2005
  • The purpose of this paper is to propose an approach to design a robust servo controller based on the mixed $H_2/H_{\infty}$ theory, and confirm its validity by applying to a benchmark problem. First, the existing $H_{\infty}$ servo problem is modified to a structure for the mixed $H_2/H_{\infty}$ control problem by virtue of the internal model principle. By making use of proposed structure, we can divide specifications required in the robust servo system design into $H_2$ and $H_{\infty}$ performance criteria, respectively. It is shown that the proposed design approach is quite effective through an application to a three inertia benchmark problem.

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Robust Positioning Control of a Flexible beam using $H_2/H_{\infty}$ and $\mu$-theory ($H_2$/H$\infty$$\mu$이론을 이용한 유연 빔의 위치제어)

  • 최연욱
    • Journal of the Institute of Convergence Signal Processing
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    • v.2 no.1
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    • pp.101-107
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    • 2001
  • The objective of this paper is to present a method for designing robust positioning control systems of a flexible arm using mixed $H_2/H_{\infty}$ and $\mu$ theory. We begin with a description of the flexible arm based on the model identification method and discuss the derivation of the model uncertainty. The validity of the obtained model is confirmed experimentally. Next, a robust controller is designed based on the mixed $H_2/H_{\infty}$ and $\mu$ theory by which we can improve robustness of the entire system. On this occasion, we also propose a general plant formation suitable to mixed $H_2/H_{\infty}$ control and $\mu$-theory. Finally, the effectiveness of the proposed design method is verified through experimentation.

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Design of an missile autopilot using intelligent control technique (지능 제어 기법을 이용한 유도탄 자동 조정 장치 설계)

  • 김윤식;한웅기;국태용
    • 제어로봇시스템학회:학술대회논문집
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    • 1996.10b
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    • pp.1509-1512
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    • 1996
  • This paper presents an intelligent autopilot for STT missiles with multiple controllers. The mixed H$_{2}$/H$_{\infty}$ control technique is applied for each controller and implemented by using the genetic searching algorithm. To facilitate automatic switching of multiple controllers under different operating conditions, an error based switching scheme is also combined with the multiple controllers at the higher level, which constitutes a hierarchical intelligent control system. It is shown via computer simulation that the proposed autopilot outperforms the conventional one..

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The hovering Flight Attitude Control of a Helicopter using Mixed $H_2/H_{\infty}$ Control Techniques ($H_2/H_{\infty}$ 혼합 제어 기법을 이용한 헬리콥터의 정지 비행 자세 제어에 관한 연구)

  • Lee, Myung-Wook;Ko, Kang-Woong;Min, Deuk-Gi;Park, Ki-Heon
    • Proceedings of the KIEE Conference
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    • 2000.07d
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    • pp.2599-2601
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    • 2000
  • A helicopter control problem has been researched with many control theory. Especially, study of the hovering flight attitude control of a helicopter has been brisked since 60s with multivariable control theory. In this paper, the modeling is interpreted through the 6-freedom equation. To getting a entire equation, species of parameters and charts are adapted. The $H_2/H_{\infty}$ controller is acquired by mixing the $H_2$ control theory and the $H_{\infty}$ control theory. The $H_2$ control theory is reasonable one to increase the performance of a plant, and the $H_{\infty}$ control theory secures the robust stability. The simulation shows that the helicopter system is being controlled while maintaining performance and robust stability against perturbation.

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LMI-Based Controller Design of Pneumatic Cylinder (LMI를 이용한 공기압 실린더의 상태제어기 설계)

  • Jang, J.S.;Ji, J.W.;Kim, Y.B.
    • Transactions of The Korea Fluid Power Systems Society
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    • v.5 no.1
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    • pp.1-5
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    • 2008
  • Pneumatic driving systems have hard non-linear characteristic and large friction force compared with driving power. Hence, it cannot be robust against parameter uncertainties, modelling error, disturbance and noise. In this study, we apply a mixed $H_2/H_{\infty}$ control to the generalized plant for a pneumatic driving apparatus system including parameter uncertainty and disturbance. In order to design the $H_2/H_{\infty}$ controller, we use the LMI technique. To evaluate control performance and robust stability of the designed controller, we compare it with a conventional controller such as PVA(Position-Velocity-Acceleration state controller) using the simulation results. As a result, it can be known that designed controller shows better robust stability than the conventional controller.

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The Level Control System Design of the Nuclear Steam Generator for Robustness and Performance

  • Lee, Yoon-Joon;Lee, Heon-Ju;Kim, Kyung-Yeon
    • Nuclear Engineering and Technology
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    • v.32 no.2
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    • pp.157-168
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    • 2000
  • The nuclear steam generator level control system is designed by robust control methods. The feedwater controller is designed by three methods of the H$\infty$, the mixed weight sensitivity and the structured singular value. Then the controller located on the feedback loop of the level control system is designed. For the system performance, the controller of simple PID whose coefficients vary with the power is selected. The simulations show that the system has a good performance with proper stability margins.

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Control of Flexible Link using Mixed $H_2$/H$\infty$ and $\mu$-Synthesis Method

  • Y.W. Choe;Lee, H.K.;J.I. Bae
    • 제어로봇시스템학회:학술대회논문집
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    • 2001.10a
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    • pp.95.3-95
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    • 2001
  • This paper investigates the simultaneous use of mixed H2/H_inf and mu-synthesis design methodology to design a robust controller for flexible link. We adopt four steps to design control system as follows: Step 1 : Generally, there are differences between the nominal and real model, so we consider the plant as a combination of parametric model uncertainty and unstructured uncertainty represents real structural uncertainties associated with the damping ratios of the flexible modes retained in the nominal model without payload. denotes the uncertainty which is due to the payload added at the tip. Step 2 : We adopt the mixed H2/H_inf theory to design a feedback controller K(s) by using the model uncertainty ...

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