• 제목/요약/키워드: Weighting Matrices

검색결과 62건 처리시간 0.025초

유전 알고리즘을 이용한 최적 모델 추종형 보일러-터빈 제어 시스템의 설계에 관한 연구 (A Study on Design of Optimal Model Following Boiler-Turbine Control System Using Genetic Algorithms)

  • 류철수;황현준;김동완;박준호;황창선
    • 대한전기학회:학술대회논문집
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    • 대한전기학회 1997년도 하계학술대회 논문집 B
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    • pp.446-448
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    • 1997
  • The aim of this paper is to introduce a method designing the optimal model following boiler-turbine control system using genetic algorithms. This boiler-turbine control system is designed by applying genetic algorithms with reference model to the optimal determination of weighting matrices Q, R that are given by LQ regulator problem. These weighting matrices are optimized simultaneously in the search domain selected adequately. The effectiveness of this boiler-turbine control system is verified by computer simulation.

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GA를 이용한 보일러-터빈 설비의 모델 추종형 다변수 제어 시스템 설계를 위한 취적 가중치 행렬의 선정 (A Selection of Optimal Weighting matrix for Model Following Multivariable Control System to Boiler-Turbine Equipment Using GA)

  • 황현준;정호성
    • 조명전기설비학회논문지
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    • 제13권2호
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    • pp.102-110
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    • 1999
  • 본 연구에서는 유전 알고리즘을 사용하여 복잡한 최적화의 과정이없이 가중치 행렬 Q, R을 동시에 최적화함으로써 상태변수들의 결합과 동작점의 변화에 따른 시스템의 파라미터 변동 등에도 불구하고 기준모델의 출력을 최적으로 추종하는 모델 추종형 제어 시스템을 설계법으로 제시하고 이를 보일러-터빈 설비를 위한 모델 추종형 다변수 제어 시스템의 설계에 적용하고자 한다. 또한 컴퓨터 시뮬레이션을 통하여 설계된 모델 추종형 제어 시스템의 성능을 비교고찰하고 그 유용성을 확인하다.

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최적제어이론을 이용한 불확실한 시스템의 제어 기법 연구 (A study on the stabilizing control of uncertain system with optimal control)

  • 한형석;이장규
    • 제어로봇시스템학회:학술대회논문집
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    • 제어로봇시스템학회 1991년도 한국자동제어학술회의논문집(국내학술편); KOEX, Seoul; 22-24 Oct. 1991
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    • pp.55-59
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    • 1991
  • This paper presents a method for designing a full state feedback linear static control law. This will stabilize a given linear uncertain system and also guarantee the performance of the system. The uncertain systems are described by state equation which contains uncertain parameters in system and input distribution matrices. The method is based on the guaranteed cost control of Chang and Peng(1972). The controller gain can be obtained by the solution of a algebraic Riccati equation in which the input weighting matrices depend on the uncertainty bounds. The algebraic Riecati equation in this paper is same as that of weighted LQ regulator problem.

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On the improvement of the guaranteed stability margins for the discrete time LQ regulator

  • Kwon, Wook-Hyun;Kim, Sang-Woo;Choi, Han-Hong
    • 제어로봇시스템학회:학술대회논문집
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    • 제어로봇시스템학회 1989년도 한국자동제어학술회의논문집; Seoul, Korea; 27-28 Oct. 1989
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    • pp.913-917
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    • 1989
  • In this paper, the selection method of weighting matrices in the discrete-time LQ problem are suggested in order to improve the guaranteed stability margins, i.e. the gain and phase margins. The asymptotic properties of the solution of the algebraic Riccati equations are investigated by using the closed form solution of the difference Riccati equations. It is shown that the solution of the algebraic Riccati equations monotonically increases as the state weighting matrix Q or the control weighting matrix R increase. The increasing rate of the solution is shown to be much less than that of R for large R. It is also proven that the guaranteed stability margins increases as the ratio between Q and R decreases.

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개선된 적분부등식을 이용한 시간지연 선형 시스템의 안정성 (Stability of Time-delayed Linear Systems using an Improved Integral Inequality)

  • 김진훈
    • 전기학회논문지
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    • 제66권5호
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    • pp.806-811
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    • 2017
  • This paper considers the delay-dependent stability of linear systems with a time-varying delay in the frame work of Lyapunov-Krasovskii functional(LKF) approach. In this approach, an integral inequality is essential to estimate the upper bound of time-derivative of LKF, and a less conservative one is needed to get a less conservative stability result. In this paper, based on free weighting matrices, an improved integral inequality encompassing well-known results is proposed and then a stability result in the form of linear matrix inequality is derived based on an augmented LKF. Finally, two well-known numerical examples are given to demonstrate the usefulness of the proposed result.

주파수 응답함수를 이용한 구조 파라메터 예측 (Identification of Structural Parameters from Frequency Response Functions)

  • 김규식;강연준
    • 한국소음진동공학회:학술대회논문집
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    • 한국소음진동공학회 2007년도 추계학술대회논문집
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    • pp.863-869
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    • 2007
  • An improved method based on a normal frequency response function (FRF) is proposed to identify structural parameters such as mass, stiffness and damping matrices directly from the FRFs of a linear mechanical system. The method for estimating structural parameters directly from the measured FRFs of a structure is presented. This paper demonstrates that the characteristic matrices are extracted more accurately by using a weighted equation and eliminating the matrix inverse operation. The method is verified for a four degree-of-freedom lumped parameter system and an eight degree-of-freedom finite element beam. Experimental verification is also performed for a free-free steel beam whose size and physical properties are the same as those of the finite element beam. The results show that the structural parameters, especially the damping matrix, can be estimated more accurately by the proposed method.

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공간 데이터와 시계열 데이터로부터 유도된 공분산행렬을 결합한 강수량 결측값 추정 모형 (Development of a Model Combining Covariance Matrices Derived from Spatial and Temporal Data to Estimate Missing Rainfall Data)

  • 성찬용
    • 한국환경과학회지
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    • 제22권3호
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    • pp.303-308
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    • 2013
  • This paper proposed a new method for estimating missing values in time series rainfall data. The proposed method integrated the two most widely used estimation methods, general linear model(GLM) and ordinary kriging(OK), by taking a weighted average of covariance matrices derived from each of the two methods. The proposed method was cross-validated using daily rainfall data at thirteen rain gauges in the Hyeong-san River basin. The goodness-of-fit of the proposed method was higher than those of GLM and OK, which can be attributed to the weighting algorithm that was designed to minimize errors caused by violations of assumptions of the two existing methods. This result suggests that the proposed method is more accurate in missing values in time series rainfall data, especially in a region where the assumptions of existing methods are not met, i.e., rainfall varies by season and topography is heterogeneous.

섭동계의 강인한 제어기 설계와 흡인형 자기부상계 제어 (Robust Controller Design for Perturbed Systems and Control of an Attractive Type Magnetic Levitation System)

  • 김상봉;김환성;정남수
    • 대한기계학회논문집
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    • 제16권2호
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    • pp.226-235
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    • 1992
  • This paper is concerned with the robust control of LQ state feedback regulators with poles in a specified region in the presence of system uncertainty. The robust stability results for the constant and nonlinear time varying perturbations are derived in terms of bounds of the perturbed system matrices and the weighting matrices in the performance index of LQ problem. The theoretical results are applied to the gap control problem of an attractive-type-magnetic levitation system and the effectiveness is proved by the implementation of digital control using 16 bits microcomputer.

Delay-dependent Stabilization for Systems with Multiple Unknown Time-varying Delays

  • Wu, Min;He, Yong;She, Jin-Hua
    • International Journal of Control, Automation, and Systems
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    • 제4권6호
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    • pp.682-688
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    • 2006
  • This paper deals with the delay-dependent and rate-independent stabilization of systems with multiple unknown time-varying delays and time-varying structured uncertainties. All the linear matrix inequalities based conditions are derived by employing free-weighting matrices to express the relationships between the terms in the Leibniz-Newton formula. The criteria do not require any tuning parameters. Numerical examples demonstrate the validity of the method.

Robust tuning of quadratic criterion-based iterative learning control for linear batch system

  • Kim, Won-Cheol;Lee, Kwang-Soon
    • 제어로봇시스템학회:학술대회논문집
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    • 제어로봇시스템학회 1996년도 Proceedings of the Korea Automatic Control Conference, 11th (KACC); Pohang, Korea; 24-26 Oct. 1996
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    • pp.303-306
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    • 1996
  • We propose a robust tuning method of the quadratic criterion based iterative learning control(Q-ILC) algorithm for discrete-time linear batch system. First, we establish the frequency domain representation for batch systems. Next, a robust convergence condition is derived in the frequency domain. Based on this condition, we propose to optimize the weighting matrices such that the upper bound of the robustness measure is minimized. Through numerical simulation, it is shown that the designed learning filter restores robustness under significant model uncertainty.

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