• Title/Summary/Keyword: multivariable LQG design

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Identification and Multivariable Iterative Learning Control of an RTP Process for Maximum Uniformity of Wafer Temperature

  • Cho, Moon-Ki;Lee, Yong-Hee;Joo, Sang-Rae;Lee, Kwang-S.
    • 제어로봇시스템학회:학술대회논문집
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    • 2003.10a
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    • pp.2606-2611
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    • 2003
  • Comprehensive study on the control system design for a RTP process has been conducted. The purpose of the control system is to maintain maximum temperature uniformity across the silicon wafer achieving precise tracking for various reference trajectories. The study has been carried out in two stages: thermal balance modeling on the basis of a semi-empirical radiation model, and optimal iterative learning controller design on the basis of a linear state space model. First, we found through steady state radiation modeling that the fourth power of wafer temperatures, lamp powers, and the fourth power of chamber wall temperature are related by an emissivity-independent linear equation. Next, for control of the MIMO system, a state space modeland LQG-based two-stage batch control technique was derived and employed to reduce the heavy computational demand in the original two-stage batch control technique. By accommodating the first result, a linear state space model for the controller design was identified between the lamp powers and the fourth power of wafer temperatures as inputs and outputs, respectively. The control system was applied to an experimental RTP equipment. As a consequence, great uniformity improvement could be attained over the entire time horizon compared to the original multi-loop PID control. In addition, controller implementation was standardized and facilitated by completely eliminating the tedious and lengthy control tuning trial.

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Robust Nonlinear Multivariable Control for the Hard Nonlinear System with Structured Uncertainty (구조화된 불확실성을 갖는 하드 비선형 시스템에 대한 강인한 다변수 비선형 제어)

  • 한성익;김종식
    • Journal of the Korean Society for Precision Engineering
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    • v.15 no.12
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    • pp.128-141
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    • 1998
  • We propose the robust nonlinear controller design methodology for the multivariable system which has hard nonlinearities (Coulomb friction, dead-zone, etc) and the structured real parameter uncertainty. The hard nonlinearity can be linearized by the RIDF technique and structured real parameter uncertainty can be modelled as the sense of Peterson-Hollot's quadratic Lyapunov bound. For this system, we apply the robust QLQG/H$_{\infty}$ control and then can obtain four Riccati equations. Because of the system's nonlinearity, however, one Riccati equation contains the nonlinear correction term that is very difficult to solve numerically, In order to treat this problem, using some transformations to Riccati equations, the nonlinear correction term can be eliminated. Then, only two Riccati equations need to design a controller. Finally, the robust nonlinear controller is synthesized via IRIDF techniques. To test this proposed control method, we consider the direct-drive robot manipulator system that has Coulomb frictions and varying inertia.

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A Design of Model Following Optimal Multivariable BOiler-Turbine H_\infty Control System using Genetic Algorithm (유전 알고리즘을 이용한 모델 추종형 최적 다변수 보일러-터빈 H_\infty제어 시스템의 세계)

  • Hwang, Hyeon-Jun;Kim, Dong-Wan;Park, Jun-Ho;Hwang, Chang-Seon
    • The Transactions of the Korean Institute of Electrical Engineers A
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    • v.48 no.2
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    • pp.127-135
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    • 1999
  • Multivarialbe Boiler-Turbine H_\infty Control System Genetic Algorithm Weighting Functions $W_1$(s), $W_2$(s), and design parameter $\gamma$ that are given by Glover-Doyle algorithm, to optimally follow the output of reference model. The first method to do this is that the gains of weighting functions $W_1$(s), $W_2$(s), and design parameter are optimized simultaneously by genetic algorithm with the tournament method that can search more diversely, in the search domain which guarantees the robust stability of system. And the second method is that not only by genetic algorithm with the roulette-wheel method that can search more fast, in that search domain. The boiler-turbine H_\infty control system designed by theabove second method has not only the robust stability to a modeling error but also the the better command tracking preformance than those of the H_\infty control system designed by trial-and-error method and the above first method. Also, this boiler-turbine H_\infty control system has the better performance than that of the LQG/LTR contro lsystem. The effectiveness of this boiler-turbineH_\infty control system is verified by computer simulation.

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Mathematical Analysis of Model Helicopter (모형헬리콥터의 수학적 해석)

  • Kim, Y.O.;Lee, K.W.;Lee, J.S.;Hong, S.K.
    • Proceedings of the KIEE Conference
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    • 1999.07b
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    • pp.818-821
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    • 1999
  • Helicopter system is regarded as a challenging example in multivariable robust control application since the dynamics of helicopter is highly coupled and nonlinear. In this paper, Dynamic equations for model helicopter at hover are derived. Various system properties are stated with respect to control of the attitude of the vehicle. A linearized model is used to analyse the system stability and to design the attitude controller. The simulation results of LQG controller are presented.

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