• Title/Summary/Keyword: Constrained linear model

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Input-constrained Tracking Control of a Converter Model Using Invariant Sets (불변 집합을 이용한 컨버터의 입력 제약 추종 제어)

  • Kim, Jung-Su;Lee, Young Il
    • Journal of Institute of Control, Robotics and Systems
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    • v.19 no.3
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    • pp.177-182
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    • 2013
  • This paper proposes an input-constrained reference tracking control of a converter model. To this end, first it is shown that the bilinear converter model can be equivalently represented by a linear uncertain model belonging to a polytopic set. Then, an input-constrained tracking control scheme for the linear uncertain model is designed based on recently proposed tracking control scheme. The control scheme yields not only a stabilizing control gain but also a feasible and invariant set for the converter model. Finally, simulation results show that the state trajectory always stays in the feasible and invariant set and that the output tracks the given reference while satisfying the input constraint.

Constrained multivariable model based predictive control application to nonlinear boiler system (제약조건을 갖는 다변수 모델 예측 제어기의 비선형 보일러 시스템에 대한 적용)

  • 손원기;이명의;권오규
    • 제어로봇시스템학회:학술대회논문집
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    • 1996.10b
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    • pp.160-163
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    • 1996
  • This paper deals with MCMBPC(Multivariable Constrained Model Based Predictive Controller) for nonlinear boiler system with noise and disturbance. MCMBPC is designed by linear state space model obtained from some operating point of nonlinear boiler system and Kalman filter is used to estimate the state with noise and disturbance. The solution of optimization of the cost function constrained on input and/or output variables is achieved using quadratic programming, viz. singular value decomposition (SVD). The controller designed is shown to have excellent tracking performance via simulation applied to nonlinear dynamic drum boiler turbine model for 16OMW unit.

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Design of the optimal inputs for parameter estimation in linear dynamic systems (선형계통의 파라미터 추정을 위한 최적 입력의 설계)

  • 양흥석;이석원;정찬수
    • 제어로봇시스템학회:학술대회논문집
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    • 1986.10a
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    • pp.73-77
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    • 1986
  • Optimal input design problem for linear regression model with constrained output variance has been considered. It is shown that the optimal input signal for the linear regression model can also be realized as an ARMA process. Monte-Carlo simulation results show that the optimal stochastic input leads to comparatively better estimation accuracy than white input signal.

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Fuzzy Model Based Generalized Predictive Control for Nonlinear System (비선형 시스템을 위한 퍼지모델 기반 일반예측제어)

  • Lee, Chul-Heui;Seo, Seon-Hak
    • Proceedings of the KIEE Conference
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    • 2000.11d
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    • pp.697-699
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    • 2000
  • In this paper, an extension of model predictive controller for nonlinear process using Takagi-Sugeno(TS) fuzzy model is proposed Since the consequent parts of TS fuzzy model comprise linear equations of input and output variables. it is locally linear, and the Generalized Predictive Control(GPC) technique which has been developed to control Linear Time Invariant(LTI) plants, can be extended as a parallel distributed controller. Also fuzzy soft constraints are introduced to handle both equality and inequality constraints in a unified form. So the traditional constrained GPC can be transferred to a standard fuzzy optimization problem. The proposed method conciliates the advantages of the fuzzy modeling with the advantages of the constrained predictive control, and the degree of freedom is increased in specifying the desired process behavior.

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Deal price model in Deal-or-No-Deal game (딜또는노딜 게임에서 딜금액 결정 모형)

  • Song, Seolhee;Ahn, Soohan
    • Journal of the Korean Data and Information Science Society
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    • v.25 no.4
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    • pp.697-703
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    • 2014
  • Deal-or-No-Deal game is a famous TV show program of NBC, USA, which is composed of 10 stages at most. At each stage from the first and the ninth, a banker suggests a deal price to participants. In this paper, we intend to reveal the banker's deal price model using a constrained linear model and quadratic program. As results, we provide a linear model in relation to the deal price at each stage and then show using simulation data that the deal price is equal to the nearest integer of the value to be obtained by the provided linear model.

Anti-Reset windup basd compensation method for state constrained control systems (리셋 와인드엎 방지법에 기초한 상태 제한이 존재하는 제어 시스템의 보상 방법)

  • Park, Jong-Koo
    • Journal of Institute of Control, Robotics and Systems
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    • v.5 no.5
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    • pp.511-520
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    • 1999
  • An anti-reset windup (ARW) based compensation method for state constrained control systems is studied. First, a linear controller is constructed to give a desirable nominal performance ignoring state-constraints of a plant. Then, an additional compensator is introduced to provide smooth performance degradation under state-constraints of the plant. This paper focuses on the effective design method of the additional compensator. By minimizing a reasonable performance index, the proposed compensator is expressed in terms of theplant and ocntroller parameters. The resulting dynamics of the compensated controller exhibits the dominant part of the linear closed-loop system which can be seen from the singular perturbation model reducton theory. THe proposed method guarantees total stability of overall resulting systems if linear controllers were constructed to meet certain condition.

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Robust Constrained Predictive Control without On-line Optimizations

  • Lee, Y. I.;B. Kouvaritakis
    • 제어로봇시스템학회:학술대회논문집
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    • 2001.10a
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    • pp.27.4-27
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    • 2001
  • A stabilizing control method for linear systems with model uncertainties and hard input constraints is developed, which does not require on-line optimizations. This work is motivated by the constrained robust MPC(CRMPC) approach [3] which adopts the dual mode prediction strategy (i.e. free control moves and invariant set) and minimizes a worst case performance criterion. Based on the observation that, a feasible control sequence for a particular state can be found as a linear combination of feasible sequences for other states, we suggest a stabilizing control algorithm providing sub-optimal and feasible control sequences using pre-computed optimal sequences for some canonical states. The on-line computation of the proposed method reduces to simple matrix multiplication.

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Evaluation of the Effective Storage of Existing Agricultural Reservoir (기존 농업용 저수지에서의 유효저수량의 평가)

  • Ahn, Tae-Jin;Cho, Dong-Ho;Lee, Sang-Ho;Choi, Gye-Woon;Yoon, Yong-Nam
    • Journal of Korea Water Resources Association
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    • v.37 no.5
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    • pp.353-361
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    • 2004
  • Effective storage in agricultural reservoir has been determined through the reservoir simulation operation based on the water budget analysis. Since each watershed has the native property for runoff, considering the runoff yielding from the basin is feasible to the determination of reservoir effective storage. In this study the stochastic linear programming model considering mainly runoff from watershed has been also formulated to analyze the effective storage of the exiting reservoir. The linear decision rule coupled with chance-constrained model in the linear programming model contributes to reduce the size of linear program model without considering the period of analysis. The Geum-Gang reservoir located in Ansung have been adopted to evaluate the effective storage. It has been shown that the effective storage based on the linear programming model is greater than that based on the water budget analysis. It has been also desired that once the effective storage is obtained through the linear programming model, operation of the reservoir should be performed to check the designed capacity.

Model Predictive Control for Input Constrained Systems with Time-varying Delay (시변 시간지연을 가지는 입력제한 시스템의 모델예측제어)

  • Lee, S.M.
    • The Transactions of The Korean Institute of Electrical Engineers
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    • v.61 no.7
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    • pp.1019-1023
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    • 2012
  • This paper considers a model predictive control problem of discrete-time constrained systems with time-varying delay. For this problem, a delay dependent state feedback control approach is used to achieve asymptotic stabilization of systems with input constraints. Based on Lyapunov stability theory, a new stability condition is obtained via linear matrix inequality formulation to find cost monotonicity condition of the model predictive control algorithm which guarantee the closed loop stability. Finally, the proposed method is applied to a numerical example in order to show the effectiveness of our results.

The devlepment of a MPC controller for water level control in the steam generator of a nuclear power plant (원전 증기발생기 수위제어를 위한 MPC 제어기 개발)

  • 손덕현;한진욱;이환섭;이창구
    • 제어로봇시스템학회:학술대회논문집
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    • 2000.10a
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    • pp.359-359
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    • 2000
  • Generally, level control in the steam generator of a nuclear power plant is difficulty process control, because the low power operating can lead nonminimum phase characteristics(swell and shrink phenomenon) and flow measurement are unreliable and nonlinear characteristics. This paper presents a framework for solving this problem based on the constrained linear model predictive control and introduces the design of method for the level of the controller in the entire operating power of the steam generator, and compares with conventional PI controller.

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