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

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Partial state feedback $H_{\infty}$ control of the two-mass resonant system having IM (2관성 공진계를 갖는 유도 전동기의 부분적인 상태 보상을 이용한 $H_{\infty}$ 제어)

  • 강석진;김진수;김영석
    • Proceedings of the KIPE Conference
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    • 1998.07a
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    • pp.58-62
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    • 1998
  • In the industrial motor drive systems, a torsional vibration is often generated because of the elastic elements in torque transmission. One of general methods for the system is H$\infty$ controller to suppress the torsional vibration and reject the torque disturbance. vibration and reject the torque disturbance. Moreover, the two-degrees-of-freedom controller, which includes the H$\infty$ controller, is designed in order to improve the command following property. In this paper, we propose a new H$\infty$ controller with partial state feedback. This method having simple structure satisfies with the fast command following property and the attenuation of disturbances and vibrations simultaneously, just like the complicated TDOF H$\infty$ controller

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Reliable $H_\infty$ control for descriptor systems with actuator failures (구동기 고장을 가지는 특이시스템의 신뢰 $H_\infty$ 제어)

  • Kim, Jong-Hae
    • Proceedings of the KIEE Conference
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    • 2003.11b
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    • pp.135-138
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    • 2003
  • In this paper, we provide a reliable few controller design method for descriptor systems satisfying asymptotic stability with $H_\infty$ norm bound and all actuator failures occurred within the pre-specified subset. The proper condition for the existence of a reliable $H_\infty$ controller and the controller design method are proposed by linear matrix inequality(LMI), Schur complements, and singular value decomposition. All solutions can be obtained simultaneously because the presented sufficient condition can be expressed as an LMI form.

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Performance Analyses of TDF $H_\infty$ Controllers for Uncertain Systems (불확실한 시스템에 대한 2-자유도 $H_\infty$ 제어기의 성능해석)

  • 강영중;이군석;권오규
    • 제어로봇시스템학회:학술대회논문집
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    • 1993.10a
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    • pp.477-481
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    • 1993
  • The aim of this paper is to analyze via computer simulation the robust performance of TDF(Two Degree of Freedom) H.$_{\infty}$ controller for uncertain systems having parameter uncertainty. We apply the TDF H$_{\infty}$ controller to autopilot design. We evaluate the robust performance of the TDF H$_{\infty}$ controller for uncertain systems and present the guaranteed bound of robust performance via computer simulation.on.

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Investigation of the Different Control Approaches for a Remote Sensing Satellite Attitude Control

  • Won, Chang-Hee;Lee, Jeong-Sook
    • 제어로봇시스템학회:학술대회논문집
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    • 1998.10a
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    • pp.35-40
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    • 1998
  • A nonlinear attitude model of a satellite with thrusters, magnetic torquers and a reaction wheel cluster is developed. Then the linearized version of this satellite attitude model is derived far the attitude hold mode. For comparison purpose, various control methods are considered for attitude control of a satellite. We consider a proportional derivative controller which is actually used in the remote sensing satellite, KOMPSAT. Then a comparison is made with an H$_2$controller, an H$\sub$$\infty$/ controller, and a mixed H$_2$/ H$\sub$$\infty$/ controller. The analysis and numerical studies show that the proportional derivative controller's performance is limited in the sense that the pitch angle cannot approach zero. The simulations also show that among three control methods (H$_2$control, H$\sub$$\infty$/ control, and mixed H$_2$/ H$\sub$$\infty$/ control) H$_2$control has the fastest response time, H$\sub$$\infty$/ control has the slowest and mixed H$_2$/ H$\sub$$\infty$/ control comes in between the first two control methods. On the other hand, H$\sub$$\infty$/ control used least amount of control effort while H$_2$control required the most.

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Mixed $H_2/H_{$\infty}$ and $\mu$-synthesis Approach to the Coupled Three-Inertia Problem (혼합 $H_2/H_{$\infty}$$\mu$-설계이론을 이용한 3관성 문제의 해법)

  • Choe, Yeon-Wook
    • Journal of Institute of Control, Robotics and Systems
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    • v.7 no.11
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    • pp.896-903
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    • 2001
  • This study investigates the use of mixed $H_2/H_{$\infty}$ and $\mu$-synthesis to construct a robust controller for the benchmark problem. The model treated in the problem is a coupled three-inertial system that reflects the dynamics of mechanical vibrations. This kind of problem requires to be satisfied the robust performance (both in the time and frequency-domain specifications). We, first, adopt the mixed $H_2/H_{$\infty}$ theory to design a feedback controller K(s). Next, $\mu$-synthesis method is applied to the overall system to make use of structured parametric uncertainty. This process permits higher levels of controller authority and reduces the conservativeness of the controller. Finally, the feedforward controller is also used to improve the transient response of the output. We confirm that all design specifications except a complementary sensitivity condition can be achieved.

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High Speed Positioning of a Pneumatic Control System with a $H_{\infty}$ Controller ($H_{\infty}$ 제어기를 이용한 공기압 구동시스템의 위치제어 성능 향상에 관한 연구)

  • Jang, J.S.
    • Journal of Power System Engineering
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    • v.2 no.2
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    • pp.67-72
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    • 1998
  • To improve control performance, especially positioning speed, of a pneumatic positioning system, dynamic characteristics of a control valve should be considered. In case we design controller including dynamic characteristics of a control valve, it's not easy to design controller gain using simple state feedback because degree of a control system is increased. This study designed controller using loop shaping of $H_{\infty}$ control theory for a model composed of a pneumatic actuator and a control valve, and positioning experiment using this controller was performed. As a result, it was verified that the controller is useful for high speed positioning of a pneumatic positioning system.

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Decentralized H$\infty$Controller Design-reduced order observers approach

  • Jo, Cheol H.;Lee, Sang-Hyek;Seo, Jin H.
    • 제어로봇시스템학회:학술대회논문집
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    • 1996.10a
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    • pp.52-55
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    • 1996
  • In this paper, we consider the decentralized reduced-order H$_{\infty}$ controller for the general plant. Simplifying method is suggested for the general plant with the decentralized controller structure. When the controller is reconstructed for the original system, the decentralizability of the controller for the transformed system is generally destroyed with the older method. We solve this problem. For the simplified system, the structure of the decentralized controller is suggested..

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Reduced Order H$\infty$ Controller Synthesis

  • Ogawa, Tomohiro;Iida, Michihiko
    • 제어로봇시스템학회:학술대회논문집
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    • 1998.10a
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    • pp.161-166
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    • 1998
  • In this paper, an approach to the reduced order H$_{\infty}$ controller synthesis is proposed. This approach employs the frequency weighted model reduction whose frequency weights are deduced from the closed-loop system regarding the controller order reduction errors as uncertainties in a plant, while the resultant reduced order H$_{\infty}$ controller guarantees prescribed H$_{\infty}$ control performances.

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Design of a Mixed $H_2/H_{\infty}$ PID Controller for Speed Control of Brushless DC Motor by Genetic Algorithm (유전 알고리즘에 의한 브러시리스 DC모터의 속도 제어용 혼합 $H_2/H_{\infty}$ PID제어기 설계)

  • Duy Vo Hoang;Phuong Nguyen Thanh;Kim Hak-Kyeong;Kim Sang-Bong
    • Proceedings of the Korean Society of Marine Engineers Conference
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    • 2006.06a
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    • pp.77-78
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    • 2006
  • A mixed method between $H_2\;and\;H_{\infty}$ control are widely applied to systems which has parameter perturbation and uncertain model to obtain an optimal robust controller. Brushless Direct Current (BLDC) motors are widely used for high performance control applications. Conventional PID controller only provides satisfactory performance for set-point regulation. However, with the presence of nonlinearities, uncertainties and perturbations in the system, conventional PID is not sufficient to achieve an optimal robust controller. This paper presents an approach to ease designing a Mixed $H_2/H_{\infty}$ PID controller for controlling speed of Brushless DC motors and the genetic algorithm is used to solve the optimized problems. Numerical results are shown to prove that the performance in the proposed controller is better than that in the optimal PID controller using LQR approach.

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A Design of $H_{\infty}$ Controller for the Stabilization of A.C. -D.C. Power Systems (교류-직류 계통의 안정화를 위한 $H_{\infty}$제어기 설계)

  • Han, G.M.;Lee, J.P.;Chung, H.H.;Lee, D.C.
    • Proceedings of the KIEE Conference
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    • 2000.07a
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    • pp.224-226
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    • 2000
  • In this paper, a robust $H_{\infty}$ controller, based on the Riccati equation approach, is proposed for HVDC power system with parametric uncertainties. Bounds of power system parametric uncertainties are included in Riccati equation to improve the robustness of controller. The proposed $H_{\infty}$ controller for the stabilization of HVDC power system can ensure that the overall system is asymptotically stable for all admissible uncertainties. Simulation results show that the proposed $H_{\infty}$ controller can achieve good performance in presence of uncertainties of power system.

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