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

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A Study on Power System Stability Enhancement by Robust Control of SPFC and Generators

  • Lee, Byung-Ha
    • KIEE International Transactions on Power Engineering
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    • v.4A no.3
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    • pp.109-114
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    • 2004
  • In this paper, the H$\infty$ control method is applied in the control of SPFC and generators in order to obtain the robust stability performance of the power system. Moreover, a SPFC H$\infty$ controller based on loop shaping is designed to achieve first-rate tracking properties in addition to the robust stability. This robust control method is applied to a Ward and Hale 6-bus power system and the effects are analyzed. The MATLAB program is used for simulation of the robust controller.

Robust Servo Design and Application for Optical Disk Drive using Robust Control Theory: QFT vs. H_inf (광 디스크 서보 설계를 위한 강건 제어 이론의 적용 및 평가: QFT vs. $H_{\infty}$)

  • Choi, Jin-Young;Park, Tae-Wook;Yang, Hyun-Seok;Park, No-Cheol;Park, Young-Pil
    • Proceedings of the Korean Society for Noise and Vibration Engineering Conference
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    • 2005.05a
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    • pp.541-546
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    • 2005
  • In this paper, the various uncertainties, which are generated in working of an optical disk drive, are discussed in details and the robust servo design considering the uncertainties are discussed. First, the classification of the uncertainties and the modeling process including that are treated. Then, the robust servo designs using QFT and $H_{\infty}$ theory are performed. Finally, the designed servo loops realized by DSP are applied to the real system. From these experiments, we proved that the robust servo design using QFT and $H_{\infty}$ have a good performance and a good robust stability when it compared with the conventional servo loop.

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A Design on Model-Following $H_{\infty}$ Control System Having Robust Performance (강인한 성능을 가지는 모델추종형 $H_{\infty}$ 제어 시스템의 설계)

  • Hwang, Hyun-Joon
    • Journal of the Korea Institute of Information and Communication Engineering
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    • v.13 no.5
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    • pp.913-921
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    • 2009
  • This paper suggests a deign method of the model-following $H{\infty}$ control system having robust performance. This $H{\infty}$ control system is designed by applying genetic algorithm(GA) with reference model to the optimal determination of weighting functions and design parameter ${\gamma}$ that are given by $H{\infty}$ control theory. These weighting functions and design parameter ${\gamma}$ are optimized simultaneously in the search domain guaranteeing the robust performance of closed-loop system. The effectiveness of this $H_{\infty}$ control system is verified by computer simulation.

A Study on the $H_{\infty}$ Robust Controller for Adaptive Control-polynomial approach (적응제어를 위한 $H_{\infty}$ 강인제어기의 설계-다항식 접근방법)

  • Park, Seung-Kyu
    • Proceedings of the KIEE Conference
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    • 1996.07b
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    • pp.936-938
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    • 1996
  • The $H_{\infty}$ robust controller is designed for on-line adaptive control application by using polynomial approach. The $H_{\infty}$ robust controllers for adaptive system were designed first by Grimble. But they have a problem that two minimum costs can exist and did not minimize the conventional $H_{\infty}$ cost function which is the $H_{\infty}$ sum of weighted sensitivity and complementary sensitivity terms. In this paper, the two minimum costs problem can be avoided and the conventional $H_{\infty}$ cost function is minimized by employing the Youla parameterization and polynomial approach at the same time. In addition pole placement is possible without any relation with weighting function.

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$H_{\infty}$ Control of Seeker Scan-Loop using LSDP (LSDP를 이용한 탐색기 주사루프의 $H_{\infty}$ 제어)

  • Lee, Ho-Pyeong;Song, Chang-Seop
    • Journal of the Korean Society for Precision Engineering
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    • v.12 no.1
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    • pp.78-86
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    • 1995
  • $H_{\infty}$ Controller of seeker scan-loop is designed using LSDP proposed by McFarlane. The performance and robustness of $H_{\infty}$ controller are analyzed using robustness theorems by Lehtomaki and compared with those of the LQG/LTR controller. Especially, structured singular value .mu. -test of Doyle is used to evaluate robust performance of seeker scan-loop. It is demonstated that seeker scan-loop by $H_{\infty}$ controller is very robust to model uncertainties described by additive and multiplicative perturbations.

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LMI-based $H_\infty$ Robust Control of Asymmetric Rotor-magnetic Bearing System (비대칭 로터-자기베어링 시스템의 LMI에 기초한 $H_\infty$ 강건제어)

  • 강호식;송오섭
    • Transactions of the Korean Society for Noise and Vibration Engineering
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    • v.13 no.3
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    • pp.172-179
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    • 2003
  • Linear matrix Inequality based $H_\infty$ robust controller is designed to control the motion of a 4-axis unbalanced rigid asymmetric rotor supported and controlled by two active magnetic bearings in this paper. To this end, the equations of motion of the system are derived via Hamilton's variational principle and transformed to a state-space form for the standard $H_\infty$ control problem. LMI-based controller, which does not require additional assumptions beyond the usual stabilizability and detectability assumptions, is designed based upon the pole place weighting function and loopshaping technique. The obtained results are compared with those reported in the available literature and the efficiency of the proposed LMI-based $H_\infty$ control is revealed.

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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Robust $H_{\infty}$ FIR Sampled-Date Filtering for Uncertain Time-Varying Systems with Unknown Nonlinearity

  • Ryu, Hee-Seob;Byung-Moon;Kwon, Oh-Kyu
    • Transactions on Control, Automation and Systems Engineering
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    • v.3 no.2
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    • pp.83-88
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    • 2001
  • The robust linear H(sub)$\infty$ FIR filter, which guarantees a prescribed H(sub)$\infty$ performance, is designed for continuous time-varying systems with unknown cone-bounded nonlinearity. The infinite horizon filtering for time-varying systems is systems is investigated in therms of two Riccati equations by the finite moving horizon.

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The $H_2/ H_\infty$ control of inverted pendulum system using linear fractional representation (도립진자 시스템에 선형 분수 표현법을 이용한 $H_2/ H_\infty$ 제어)

  • 곽칠성;최규열
    • Journal of the Korea Institute of Information and Communication Engineering
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    • v.3 no.4
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    • pp.875-885
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    • 1999
  • This paper presents an application of LMI-based techniques to the mixed $H_2/ H_\infty$ control of an inverted pendulum. The linear model of the inverted pendulum represented by an LFR(Linear Fractional Representation) model of uncertainties is derived. Considered uncertainties are three nonlinear components and a parameter uncertainty Augmenting the LFR model by adding weighting functions, we get a generalized plant, for which we design a mixed $H_2/ H_\infty$ controller using the LMI technique. To evaluate control performances and robust stability of the mixed $H_2/ H_\infty$ controller designed, we compare it with the $ H_\infty$controller through the simulation and experiment. The mixed $H_2/ H_\infty$ controller shows the better control performances and robust stability than the $H_\infty$controller in the sense of pendulum angle.

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Robust PID Controller Design for Speed Control of BLDC Motors (BLDC 모터 속도제어를 위한 견실 PID 제어기 설계)

  • 양승윤;김인수;전완수
    • Journal of the Korea Institute of Military Science and Technology
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    • v.5 no.1
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    • pp.75-82
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    • 2002
  • In this paper, the robust PID(Proportional-Integral-Derivative) controller was designed for speed control of BLDC motors using the frequency region model matching method. It was designed the robust PID controller satisfying disturbance attenuation and robust tracking performance using an H$\infty$ control method. The robust PID controller gains with the performances of the designed H$\infty$ controller are determined using the model matching method at frequency domain. Consequently, simulation results show that the proposed PID speed controller satisfies load torque disturbance attenuation and robust tracking performance, and this study has usefulness and applicability for the speed control system design of BLDC motors.