• Title/Summary/Keyword: multivariable

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PID Learning Controller for Multivariable System with Dynamic Friction (동적 마찰이 있는 다변수 시스템에서의 PID 학습 제어)

  • Chung, Byeong-Mook
    • Journal of the Korean Society for Precision Engineering
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    • v.24 no.12
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    • pp.57-64
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    • 2007
  • There have been many researches for optimal controllers in multivariable systems, and they generally use accurate linear models of the plant dynamics. Real systems, however, contain nonlinearities and high-order dynamics that may be difficult to model using conventional techniques. Therefore, it is necessary a PID gain tuning method without explicit modeling for the multivariable plant dynamics. The PID tuning method utilizes the sign of Jacobian and gradient descent techniques to iteratively reduce the error-related objective function. This paper, especially, focuses on the role of I-controller when there is a steady state error. However, it is not easy to tune I-gain unlike P- and D-gain because I-controller is mainly operated in the steady state. Simulations for an overhead crane system with dynamic friction show that the proposed PID-LC algorithm improves controller performance, even in the steady state error.

An Index of Applicability for the Decomposition of Multivariable Fuzzy Control Rules (제어규칙 분해법에 의한 다변수 퍼지 시스템 제어의 적용기준지수)

  • 이평기;이균경;전기준
    • Journal of the Korean Institute of Telematics and Electronics B
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    • v.29B no.7
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    • pp.79-86
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    • 1992
  • Recent research on the application of fuzzy set theory to the design of control systems has led to interest in the theory of decomposition of multivariable fuzzy systems. Decomposition of multivariable control rules is preperable since it alleviates the complexity of the problem. However inference error is inevitable because of its approximate nature. In this paper we define an index of applicability which can classify whether the Gupta et. al's method can be applied to multivariable fuzzy system or not. We also propose a modified version of the decomposition which can reduce inference error and improve performance of the system.

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Design of a Multivariable Fuzzy Controller for the Boiler-Turbine System (보일러-터빈 시스템의 위한 다변수 퍼지 제어기 설계)

  • Jo, Gyeong-Wan;Kim, Sang-U;Kim, Jong-Uk
    • Journal of Institute of Control, Robotics and Systems
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    • v.7 no.4
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    • pp.295-303
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    • 2001
  • The demand for steam generators is increasing in industrial systems in which the design strategy should be implemented for safe and efficient operation of steam generators. It is, however, difficult to design a controller by the conventional method because of the nonlinear dynamics of the steam generator and influences by the set value of disturbance. This paper presents an automatic parameter optimization technique for a multivariable fuzzy controller using evolutionary strategy, At first, we use the steady state information such as a steady state gain matrix(SSGM) and a relative gain matrix(RGM). We can obtain much information on the control inputs and the outputs of the boiler-turbine system from the matrices. In order to determine the structure of the controller by using RGM and SSGM, the fuzzy rules are trained by evolutionary strategy. The good performance of the proposed multivariable fuzzy controller is verified through simulations.

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Pole Placement Controller Design for Multivariable Nonlinear Stochastic Systems (다변수 비선형 확률 시스템에 대한 극점배치 제어기 설계)

  • Kim, Jong-Sik
    • Journal of the Korean Society for Precision Engineering
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    • v.6 no.1
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    • pp.33-44
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    • 1989
  • A controller disign method is proposed for multivariable nonlinear stochastic systems with hard nonlinearities such as Coulomb friction, backlash and saturation. In order to take the nonlinearities into account statistical linearization techniques are used. And multi- variable pole placement techniques are applied to design controller for the statistically linearized multivariable systems. The basic concept of the controller design method is to solve two coupled equations, characteristic equation and Lyapunov equation, simultaneously and iteratively for statistically linearized multivariable stochastic systems. An aircraft with saturation serves as a design example. The design example illustrates the influence of nonlinear effects. The results of the analysis are compared to Monte Carlo simulation to test their accuracy.

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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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Multivariable function과 그의 합성에 있어서의 문제점

  • 김형갑
    • 전기의세계
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    • v.24 no.6
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    • pp.18-23
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    • 1975
  • 대한전기학회로부터 기술해설에 관한 내용의 원고를 의뢰받고 주저했으나 결국은 착수하기로 했다. Multivariable function 이론이 개화하면 응용면에 있어 예측하기 어려울만큼 큰 장래가 약속된다고 믿어져 집필을 했다. 영문을 그대로 실은 대목도 있고 지면절약상 증명은 생략했다. 보완이 될까 생각되어 대표적인 논문들을 참고로 첨부한다. 큰 개발이 요구되는 이 분야에 우리 나라에서도 관심을 갖는 분이 많이 생겨 제기된 문제 해결에 공헌 있기를 바란다.

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Design of multivariable learning controller in frequency domain (주파수 영역에서 다변수 학습제어기의 설계)

  • 김원철;조진원;이광순
    • 제어로봇시스템학회:학술대회논문집
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    • 1993.10a
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    • pp.760-765
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    • 1993
  • A multivariable learning control is designed in frequency domain. A general to of feedback assisted learning scheme is considered and an inverse model based learning algorithm is derived through convergence analysis in frequency domain. Performance of the proposed control method is evaluated through numerical simulation.

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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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A study on the multivariable control system tuning (다변수 제어 시스템의 동조에 관한 연구)

  • 주용진;서병설;김경기
    • 제어로봇시스템학회:학술대회논문집
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    • 1986.10a
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    • pp.456-458
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    • 1986
  • A method for on-line tuning of the PID-controller parameters for a discrete-time multivariable process system is presented. And it is based on a step change in the controller set point. The system is presumed to be a linear, open loop stable and known one. The controller parameters are determined by the performance criterion and Fletcher-Powell methods.

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