• Title/Summary/Keyword: Complementary sensitivity function

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Complementary sensitivity characteristics in digital control systems

  • Sung, Hak-Kyung;Hara, Shinji
    • 제어로봇시스템학회:학술대회논문집
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    • 1990.10b
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    • pp.868-871
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    • 1990
  • We derive an intelgral-type constraint on the complementary sensitivity function in digital control systems. Some design guidances are proposed for the pole assignment of digital controller with computation-time delay to improve the complementary sensitivity characteristics.

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Optical Disk Drive Servo System Using Dual Disturbance Observer

  • Lee, Sang-Han;Jeong, Dong-Seul;Chung, Chung-Choo
    • 제어로봇시스템학회:학술대회논문집
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    • 2005.06a
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    • pp.2087-2092
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    • 2005
  • Using disturbance observer (DOB) is effective in enhancing the performance of dynamic system in the presence of disturbances. Recently the definition of disturbance has been expanded to modeling uncertainty including parameter variation, internal disturbance. Various structures of DOB have been proposed to improve sensitivity of system for better disturbance rejection performance. However in the case of improvement of sensitivity function, it tends to bring poor transient response due to cross-coupling and phase lag. Furthermore it could be very sensitive to measurement noise due to increased peak of complementary sensitivity function. In this paper, a dual disturbance observer (Dual-DOB) is proposed to reduce the effect of such cross-coupling. It is possible for us to improve the sensitivity function with additional external DOB with hardly affecting complementary sensitivity function. Thus it is able to have robustness against measurement noise. Since we are able to design DOBs of internal and external loop independently, we could prevent transient response quality from degrading while improving the sensitivity function. The proposed Dual-DOB is applied to a commercial optical disk drive tracking servo system. The experimental result shows that the Dual-DOB is an effective method in rejecting the disturbance as well as improving the tracking performance.

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A Design of $H_{\infty}$ Adaptive controller ($H_{\infty}$ 적응 제어기의 설계)

  • Park, Seung-Kyu;An, Ho-Kyun;Jang, Woo-Young
    • Proceedings of the KIEE Conference
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    • 1997.07b
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    • pp.679-681
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    • 1997
  • A $H_{\infty}$ adaptive controller is designed by using polynomial approach. The $H_{\infty}$ robust controllers for adaptive system were designed by Grimble. But they did not minimize the mixed sensitivity ra cost function which is the re sum of weighted sensitivity and complementary sensitivity terms Moreover pole placement is dependent of cost function. In this paper, the mixed sensitivity re cost function is minimized by employing the Youla parameterization and polynomial approach at the same time. And pole plaement is independent of weighting function.

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An Optical Disk Drive Servo System Using a Modified Disturbance Observer (수정된 외란관측기를 이용한 광 디스크 드라이브 서보 시스템)

  • Jeong Jong-Il;Kim Moo-Sub;Oh Kyung-Whan;Chung Chung Choo
    • Journal of Institute of Control, Robotics and Systems
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    • v.11 no.6
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    • pp.484-491
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    • 2005
  • Using a disturbance observer is effective in enhancing the performance of dynamic system in presence of disturbances. Although various types of disturbance observers have been proposed to improve sensitivity of systems, there exist poor transient responses due to cross-couplings among disturbance observer loops. In this paper, dual disturbance observer (DOB) is proposed to reduce the effects of the cross-couplings. A different type of loop transfer function is proposed for external disturbance observer. While improving the sensitivity function by adding external DOB, it also provides improved complementary sensitivity function. The proposed dual DOB is applied to a commercial optical disk drive tracking system. It is shown that the dual DOB is an effective method in rejecting the effect of disturbance as well as improving the tracking performance.

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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A Study on the Design of Adaptive $H_{\infty}$ sub INF Controller-Polynomial Approach (적응 $H_{\infty}$ 제어기의 설계에 관한 연구 - 다항식 접근방법)

  • Kim, Min-Chan;Park, Seung-Kyu;Kim, Tae-Won;Ahn, Ho-Gyun
    • The Transactions of the Korean Institute of Electrical Engineers D
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    • v.51 no.4
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    • pp.129-136
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    • 2002
  • This paper presents a $H_{\infty}$ robust controller with parameter estimation in polynomial approach. For good performance of a uncertain system, the parameters are estimated by RLS algorithm. The controller minimizes the sum of $H_{\infty}$ norm between sensitivity function and complementary sensitivity function by employing the Youla parameterization and polynomial approach at the same time. A numerical example and its simulation results are given to show the validity of the proposed controller.

Design of $H_{\infty}$Controller for the inverted pendulum system (도립진자 시스템의 $H_{\infty}$ 제어기 설계)

  • Seo, Kang-Myun;Kang, Moon-Sung
    • Journal of the Korea Institute of Information and Communication Engineering
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    • v.10 no.10
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    • pp.1796-1803
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    • 2006
  • This Paper describes a systematic method for designing the $H_{\infty}$ controller for the inverted pendulum which is a nonlinear and single-input double-outputs system. In particular, the open-loop system is conbined with a pre-filter to shape the open-loop transfer function for the sensitivity function ind the complementary sensitivity function to be kept the desirable frequency characteristics. Consequently, the loop shaping technique of the open-loop transfer function reduces the impacts of the model uncertainties, measurement noises and exogenous disterbances on the dynamic characteristics of the inverted pendulum. The results of simulation and experiment show the efficiency of the proposed control method comparing with conventional PID control method.

Application of Robust Controller Design to Photovoltaic System Simulator (태양광발전 시뮬레이터의 강인제어설계 응용)

  • Lee, Youn;Chun, Yeong-Han
    • The Transactions of The Korean Institute of Electrical Engineers
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    • v.59 no.2
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    • pp.267-271
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    • 2010
  • Photovoltaic system simulator is under being developed for the performance test of Power conditioning system (PCS). The photovoltaic system simulator is required to emulate real system, which can be obtained by fast response controller. In this paper, we suggest a robust control method as a tool to design the simulator controller. The performance of the controller is determined by weighting functions, sensitivity function $W_1$ complementary sensitiviey function $W_3$, and a control signal shaping function $W_u$. Experimental results show that robust control method is promising for obtaining better performance of the photovoltaic system simulator.

Speed Control of the Low Speed Diesel Engine by $H_{\infty}$ Controller Design Method ($H_{\infty}$ 제어기법을 이용한 저속디젤기관의 속도제어)

  • 양주호;정병건
    • Journal of Advanced Marine Engineering and Technology
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    • v.17 no.5
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    • pp.63-70
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    • 1993
  • In 1980's to 1990's the marine propulsion diesel engines have been developed into lower speed and longer stroke for the energy saving(small S.F.O.C.). As these new trends the convetional mechnical-hydraulic governors were not adapted to the new requirements and the digital governors have been adopted in the marine use. The digital governors usually use the control algorithms such as the PID control, optimal control, adaptive control and etc. While the engine has delay time and parameter variations these control algorithms have difficulty in considering the stability and the robustness for the model uncertainty. In this study, the $H_{\infty}$ controller design method are applied to the speed control of the low speed marine diesel engine. By comparison the $H_{\infty}$ control results with the PID control results, the validity of the $H_{\infty}$ controller under the delay time and parameter variations is confirmed.

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Development of the Robust Speed Controller for Marine Medium Speed Diesel Engines (선박용 중속 디젤 기관의 로바스트 속도제어기 개발)

  • 정병건;양주호;김창화
    • Journal of Advanced Marine Engineering and Technology
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    • v.20 no.4
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    • pp.27-35
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    • 1996
  • The ship's propulsion efficiency depends upon a combibation of engine and propeller. The propeller has better efficiency as the engine has lower rotational speed. This situation led the engine manufacures to design the engine that has lower speed, longer stroke and a small number of cylinders. With this new trends the conventional mechanical-hydrualic governors for engine speed control have been replaced by digital speed controllers which adopted the PID control or the optimal control algorithm. But these control algorithms have not enough robustness to suppress the variations of the delay-time and the parameter perturbation especially in low speed engine. In this study we consider the perturbations of the engine parameters as the modeling uncetainties and design a robust speed controller for marine medium speed diesel engine by means of $ extit{H}_{infty}$control theory having the central solution. By comparing the results of the robust speed controller with those of mechanical governor and PID controller, the validity of the robust speed controller under parameter variations is confirmed. The speed control of the experimental diesel engine of carried out using actuator which is composed of PWM signal generator and D.C servo motor.

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