• Title/Summary/Keyword: multivariable LQG design

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An RTP Temperature Control System Based on LQG Design (LQG 설계에 의한 RTP 온도제어 시스템)

  • Song, Tae-Seung;Yoo, Jun
    • Journal of Institute of Control, Robotics and Systems
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    • v.6 no.6
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    • pp.500-505
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    • 2000
  • This paper deals with wafer temperature uniformity control essential in rapid thermal processing (RTP). One of the important control objectives of RTP is to keep the temperature over the wafer surface as uniformly as possible. For this, a discrete time state equation around the operating point is first identified by using the subspace fitting method, and a multivariable LQG(Linear Quadratic Gaussian) controller is designed based on the identified model. Simulation and experimental results show improvement in temperature uniformity over the conventional PID method.

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On the loop-shaping techniques for the LQG/LTR control (LQG/LTR 제어를 위한 루프형성기법에 관한 연구)

  • 한성익;김종식
    • 제어로봇시스템학회:학술대회논문집
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    • 1992.10a
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    • pp.1028-1033
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    • 1992
  • Loop shaping techniques are developed for the LQG/LTR controller design of singular multivariable sytems. One approach is to use the mode form of plant and the other is to replace the eigenvalues at 0 by ones at .epsilon.(.rarw.0). These two concepts for the target filter loop design are applied to a flight autopilot. And it is shown that these techniques are effective ones for the desired loop-shaping of singular multivariable systems.

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A Study on the LQG Precision Tension Control of a Dancer System for a Production of Printed Electronics in Roll-to-roll Systems (Roll-to-roll 시스템에서 인쇄전자 생산을 위한 댄서 시스템의 LQG 정밀 장력 제어에 대한 연구)

  • Seong, Jin-Woo;Kang, Hyun-Kyoo;Shin, Kee-Hyun
    • Journal of the Korean Society for Precision Engineering
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    • v.26 no.10
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    • pp.65-73
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    • 2009
  • For mass production of printed electronics in roll-to-roll fashion, precision tension control is important to reduce register errors. Register error should be minimized within several to tens of microns for many electronic devices to be manufactured through printing technology. In order to achieve this goal, tension disturbance must be attenuated before printing process within a certain range. In this paper, a certain tension range which allows maintaining register error within 10 micron was defined with specific operating conditions. A LQG controller was proposed instead of the conventional PI controller for precision tension control using a multivariable feedback. A guideline to determine design parameters for calculating LQ gain was proposed. The proposed LQG controller was compared to both PI controller and LQ regulator with white noise by numerical simulations. Results showed that the proposed LQG controller was effective for attenuating tension disturbance with white noise.

Attitude controller design and implementation for a helicopter propeller setup using a robust multivariable control (견실한 다변수 제어에 의한 모형 헬리콥터의 자세제어기 설계및 실현)

  • Lee, Seung-Guk;Lee, Myeong-Ui;Gwon, O-Gyu
    • Journal of Institute of Control, Robotics and Systems
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    • v.4 no.1
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    • pp.32-37
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    • 1998
  • This paper deals with the implementation of a robust multivariable controller using DSP board and the application to real systems. The LQG/LTR (Linear Quadratic Gaussian with Loop Transfer Recovery) controller proposed by Doyle et al.[1,2] is adopted to design the control system. A helicopter propeller setup is taken as the controlled system in the current paper, and the mathematical model is derived to design the multivariable controller. The performance of the controller is evaluated via simulations, and implementation and application to the MIMO system shows that the control performances are satisfactory and superior to those of the PID controller.

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Computation of robustness margins in multivariable LQG/LTR design when the plant is scalled (다변수 LQG/LTR 설계에서 스케일링 행렬에 의한 강인성 여유 계산)

  • 강진식
    • 제어로봇시스템학회:학술대회논문집
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    • 1993.10a
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    • pp.491-497
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    • 1993
  • In MIMO design, input and output units are different from each other. By this reason, the effect of larger units to smaller one is not trivial and there is no method of proper scaling, optimal scaling. In this paper, robust stability of MIMO LQG/LTR design are analised when the plnat inputs and outputs are scalled. The upper bound of model error to guarantee the robust stability is obtained, and gain margin and phase margins are computed with respect to scalling matrices.

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A study on the robust control of the boiler-turbine (보일러 터빈 시스템의 견실성에 관한연구)

  • 이시곤;김은기;권욱현
    • 제어로봇시스템학회:학술대회논문집
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    • 1988.10a
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    • pp.192-196
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    • 1988
  • This paper presents a feasibility study related to the design of a linear multivariable compensator for a model of boiler-turbine system. The nonlinear dynamics are linearized at a operating condition. At the operating point an LQG/LTR compensator is designed. Simulations are included to illustrate the usefulness of this linear multivariable control law.

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Design of the Position Control System for a Nonlinear Multivariable Launcher (비선형 다변수 발사대의 위치 제어시스템 설계)

  • Kim, Jong-Shik;Han, Seong-Ik;Sim, Woo-Jeon
    • Journal of the Korean Society for Precision Engineering
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    • v.9 no.4
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    • pp.154-166
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    • 1992
  • A kinematic nonlinear multivariable launcher is modeled of which the azimuth and elevation axes are drived simultaneously and position control systems are designed for this system by the PD and LQG/LTR control methods. Also, the suitable command input fonction is suggested for the desired command following performance and the two control systems with disturbances and load variation are evaluated for the entire operating range by computer simulation. It is found that the two linear controllers can be used for the kinematic nonlinear multivariable launcher in the entire operating range and LQG/LTR controller is more effective for disturbance rejection.

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Design of a Boiler-Turbine Control System Using a Modified LQG/LTR Method (개선된 LQG/LTR방법에 의한 보일러-터빈제어 시스템의 설계)

  • 권욱현;김상우;박부견;김은기
    • The Transactions of the Korean Institute of Electrical Engineers
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    • v.39 no.2
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    • pp.199-209
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    • 1990
  • In this paper, a multivariable robust controller for a boiler-burbine system is designed by using a modified LQG/LTR method. From the known nonlinear dynamic model, a linearized model is obtained with the saturations at both input magnitude and input varying rate. The modeling error is analyzed at various operation points. A new dynamics augmentation method in the LQG/LTR method is suggested which can be applied to LQG/LTR method to reject the input and output disturbances and to follow reference inputs under modeling errors. The good performance of the designed controller is shown by simulations in various conditions.

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Autopilot design for BTT flight vehicles (이동중인 비행시스템의 자동조종장치 설계)

  • 백운보;허남수;이만형;황창선
    • 제어로봇시스템학회:학술대회논문집
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    • 1989.10a
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    • pp.87-92
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    • 1989
  • An autopilot for the class of Bank-To-Turn missiles is developed using a multivariable plant model & control design methodology. The roll-pitch-yaw cross coupling is included in the design considerations. Feedback system is designed using the Linear Quadratic Gaussian with Loop Transfer Recovery (LQG/LTR). Nonlinear simulations are presented to demonstrate the performances of the designed system.

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A Design on Robust Two-Degree-of-Freedom Multivariable Boiler-Turbine System (강인한 2자유도 다변수 보일러-터빈 시스템의 설계)

  • Hwang, C.S.;Kim, D.W.;Jung, H.S.;Lee, D.Y.;Cho, K.Y.;Nam, K.W.
    • Proceedings of the KIEE Conference
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    • 1995.07b
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    • pp.670-672
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    • 1995
  • This paper deals with the robust two-degree-of-freedom multivariable control system using $H_{2}/H{\infty}$optimization method which can achieve the robust stability and the robust performance, simultaneously. The feedback controller can obtain the robust stability property. The feedforward controller can obtain the robust performance property under modelling error. The robust two-degree-of-freedom multivariable control system is applied to the nonlinear multivariable boiler-turbine system. The validity of the proposed method is verified though being compared with LQG/LTR design method.

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