• Title/Summary/Keyword: Multivariable Control System

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Wavelet operator for multiscale modeling of a nuclear reactor

  • Vajpayee, Vineet;Mukhopadhyay, Siddhartha;Tiwari, Akhilanand Pati
    • Nuclear Engineering and Technology
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    • v.50 no.5
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    • pp.698-708
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    • 2018
  • This article introduces a methodology of designing a wavelet operator suitable for multiscale modeling. The operator matrix transforms states of a multivariable system onto projection space. In addition, it imposes a specific structure on the system matrix in a multiscale environment. To be specific, the article deals with a diagonalizing transform that is useful for decoupled control of a system. It establishes that there exists a definite relationship between the model in the measurement space and that in the projection space. Methodology for deriving the multirate perfect reconstruction filter bank, associated with the wavelet operator, is presented. The efficacy of the proposed technique is demonstrated by modeling the point kinetics nuclear reactor. The outcome of the multiscale modeling approach is compared with that in the single-scale approach to bring out the advantage of the proposed method.

Model Reference Adaptive Control for Multivariable Systems (다변수 시스템에 대한 기준 모델형 적응 제어)

  • Hai-Won Yang
    • The Transactions of the Korean Institute of Electrical Engineers
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    • v.32 no.11
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    • pp.394-403
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    • 1983
  • This paper discusses a model reference adaptive control for a multi-input multi-output continuos system in matrix fraction description. The controller is of Monopoli-Narendra type with a time-varying gain matrix in the parameter adaptation law. The transfer matrix of the given plant with an adjustable controller is made to approach to that of the reference model asymptotically. It is shown that, under some plausible assumptions such as on the knowlidge of an interactor matrix, the algorithm for a single-input single-output system can be appropriately extended to a multi-input multi-output system. The convergence of an adaptation law is estavlished with some stability theory and stability of the overall system is asserted by an analytical investigation.

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OBSERVER-BASED INPUT-OUTPUT LINEARIZATION CONTROL OF A MULTIVARIABLE CONTINUOUS CHEMICAL REACTOR

  • Mohamed, Bouhamida;Bachir, Daaou;Abdellah, Mansouri;Mohammed, Chenafa
    • Journal of the Korean Mathematical Society
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    • v.49 no.3
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    • pp.641-658
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    • 2012
  • The goal of this paper is to develop a nonlinear observer-based control strategy for a multi-variables continuous stirred tank reactor (CSTR). A new robust nonlinear observer is constructed to estimate the whole process state variables. The observer is coupled with a nonlinear controller, designed based on the input-output linearization for controlling the concentration and reactor temperature. The closed loop system is shown to be globally asymptotically stable based on Lyapunov arguments. Finally, computer simulations are developed for showing the performance of the proposed controller.

Observer Design for Enhanced Robustness of Multivariable Predictive control (다변수 예측제어 시스템의 강인성 향상을 위한 관측기 다항식 설계)

  • Kim, Jung-Su;Yoon, Tae-Woong
    • Proceedings of the KIEE Conference
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    • 1999.11c
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    • pp.497-499
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    • 1999
  • This paper considers enhancing the robustness of a MIMO(Multi-Input Multi-Output) predictive control system. The characteristic polynomial matrix of the closed-loop is shown to consist of two factors $P_c$ and T, where $P_c$ is determined by the tuning knobs of the predictive controller and T is an observer or prefilter polynomial matrix. The robust stability condition is derived in terms of $P_c$ and T. A guideline on the selection of T is then presented for open-loop stable processes.

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Fuzzy Controller Design of MIMO System with Decoupling Feedforward Compensator (비결합 전향 보상기를 갖는 선형다변수 시스템의 퍼지제어기 설계)

  • Song, Jeong-Hwa;Jung, Dong-Keun;Kim, Young-Chol
    • Proceedings of the KIEE Conference
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    • 1998.07b
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    • pp.407-409
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    • 1998
  • In order to improve the tracking performance of $2{\times}2$ multivariable control systems, a fuzzy control algorithm with feedforward compensator is represented. The method consists in two steps. First, neglecting interconnections. one designs a fuzzy controller to each individual loop. In the second stage, low-order transfer functions of outputs to reference inputs are estimated. We propose a design method of the feed forward compensator based on the transfer functions. An illustrative example are shown.

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A Design of Reference Model Following Fuzzy Control System for Boiler-Turbine Equipment (보일러-터빈 설비에 대한 기준모델 추종 퍼지 제어시스템의 설계)

  • 정호성;황창선;황현준
    • The Proceedings of the Korean Institute of Illuminating and Electrical Installation Engineers
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    • v.11 no.4
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    • pp.82-91
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    • 1997
  • In this paper, a design method of the boiler-turbine control system in the coal fired power plant is proposed. We need to control electric output and drum pressure and water level in drum to guarantee stable operation and save energy for generating electricity and decrease air pollution in the boiler-turbine system. This boiler-turbine control system is composed of reference model part and model following part. The multivariable boiler-turbine system is separated into 3 SISO(Single Input Single Output) systems applying the concept of relative gain matrix. Each 3 reference models for separated boiler-turbine system are composed of 1st order nominal plant and hysteresis integral control system and they make good dy¬namic response with no overshoot and fast rising time. Each fuzzy controller to follow as close as possible to the response of each reference model is designed. The robustness and the good tracking property can be achieved using 5150 fuzzy controllers when there are modeling errors, disturbances and parameter pertur¬bations. The effectiveness of the proposed design method is verified through simulations.

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Parameter Estimation of Single and Decentralized Control Systems Using Pulse Response Data

  • Cheres, Eduard;Podshivalov, Lev
    • Bulletin of the Korean Chemical Society
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    • v.24 no.3
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    • pp.279-284
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    • 2003
  • The One Pass Method (OPM) previously presented for the identification of single input single output systems is used to estimate the parameters of a Decentralized Control System (DCS). The OPM is a linear and therefore a simple estimation method. All of the calculations are performed in one pass, and no initial parameter guess, iteration, or powerful search methods are required. These features are of interest especially when the parameters of multi input-output model are estimated. The benefits of the OPM are revealed by comparing its results against those of two recently published methods based on pulse testing. The comparison is performed using two databases from the literature. These databases include single and multi input-output process transfer functions and relevant disturbances. The closed loop responses of these processes are roughly captured by the previous methods, whereas the OPM gives much more accurate results. If the parameters of a DCS are estimated, the OPM yields the same results in multi or single structure implementation. This is a novel feature, which indicates that the OPM is a convenient and practice method for the parameter estimation of multivariable DCSs.

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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Optimal Tuning of a Ballscrew Driven Biaxial Servo System (외란관측기를 이용한 볼스크류 구동 2축 서보계의 최적튜닝)

  • Shin, Dong-Soo;Chung, Sung-Chong
    • Journal of the Korean Society of Manufacturing Technology Engineers
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    • v.20 no.5
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    • pp.589-597
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    • 2011
  • In this paper, optimal tuning of a cross-coupled controller linked with the feedforward controller and the disturbance observer is studied to improve contouring and tracking accuracy as well as robustness against disturbance. Previously developed integrated design and optimal tuning methods are applied for developing the robust tuning method. Strict mathematical modeling of the multivariable system is formulated as a state-space equation. Identification processes of the servomechanism are conducted for mechanical servo models. An optimal tuning problem to minimize both the contour error and settling time is formulated as a nonlinear constrained optimization problem including the relevant controller parameters of the servo control system. Constraints such as relative stability, robust stability and overshoot, etc. are considered for the optimization. To verify the effectiveness of the proposed optimal tuning procedure, linear and circular motion experiments are performed on the xy-table. Experimental results confirm the control performance and robustness despite the variation of parameters of the mechanical subsystems.

Design of Controller for Nonlinear Multivariable System Using Neural Network Sliding Surface (신경망 슬라이딩 곡면을 이용한 비선형 다변수 시스템의 제어기 설계)

  • Ku, Gi-Jun;Cho, Hyun-Seob
    • Journal of the Korea Academia-Industrial cooperation Society
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    • v.10 no.10
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    • pp.2634-2638
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    • 2009
  • The variable structure control(VSC) with sliding mode is the discontinuous control law in leads to undesirable chattering in practice. As a method solving this problem, in this paper, we propose a scheme of the VSC with neural network sliding surface. A neural network sliding surface with boundary layer is employed to solve discontinuous control law. The proposed controller can eliminate the chattering problem of the conventional VSC. The effectiveness of the proposed control scheme is verified by simulation results.