• 제목/요약/키워드: Pole-placement Method

검색결과 123건 처리시간 0.029초

LQ 제어와 근의 이동범위를 이용한 조단 블록을 갖는 중근을 두 실근으로 이동시키는 극배치 방법 (Pole Placement Method to Move a Equal Poles with Jordan Block to Two Real Poles Using LQ Control and Pole's Moving-Range)

  • 박민호
    • 한국산학기술학회논문지
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    • 제19권2호
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    • pp.608-616
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    • 2018
  • 일반적으로 비선형 시스템은 1차와 2차 시스템의 곱의 형태로 선형화되며, 시스템의 근은 1차 시스템의 근과 2차 시스템의 중근, 서로 다른 두 실근, 복소근으로 구성된다. 그리고 LQ(Linear Quadratic) 제어는 성능지수함수를 최소화하는 제어법칙을 설계하는 방법으로 시스템의 안정성을 보장하는 장점과 가중행렬 조정으로 시스템의 근의 위치를 조정하는 극배치 기능이 있다. 가중행렬에 의해 LQ 제어는 시스템의 근의 위치를 임의로 이동시킬 수 있지만 시행착오 방법으로 가중행렬을 설정하는 어려움이 있다. 이것은 해밀토니안(Hamiltonian) 시스템의 특성방정식을 이용하여 해결 할 수 있다. 또한 제어가중행렬이 상수의 대칭행렬이면 제어법칙을 반복적으로 적용하여 시스템의 여러 근을 원하는 폐루프 근으로 이동시킬 수 있다. 이 논문은 해밀토니안 시스템의 특성방정식을 이용하여 조단 블록을 갖는 시스템의 중근을 두 실근으로 이동시키는 상태가중행렬과 제어법칙을 계산하는 방법을 제시한다. 삼각함수로 표현된 상태가중행렬로 해밀토니안 시스템의 특성방정식을 구한다. 그리고 이동된 두 실근이 특성방정식의 근이라는 조건에서 중근과 상태가중행렬의 관계식(${\rho},\;{\theta}$)을 유도한다. 상태가중행렬이 양의 반한정행렬이 될 조건에서 중근의 이동범위를 구한다. 그리하여 이동범위에서 선택한 두 실근을 관계식에 대입하여 상태가중행렬과 제어법칙을 계산한다. 제안한 방법을 간단한 3차 시스템의 예제에 적용해본다.

최적 극점 배치 기법을 이용한 비선형 시스템의 퍼지 제어기의 설계 (Fuzzy Controller Design for Nonlinear Systems Using Optimal Pole-Placement Schemes)

  • 이남수;주영훈;김광배
    • 대한전기학회:학술대회논문집
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    • 대한전기학회 1999년도 하계학술대회 논문집 B
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    • pp.510-512
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    • 1999
  • In this paper, we present a method for the analysis and design of fuzzy controller for nonlinear systems. In the design procedure, we represent the dynamics of nonlinear systems using a Takagi-Sugeno fuzzy model and formulate the controller rules, which shares the same fuzzy sets with the fuzzy system, using parallel distributed compensation method. Then, after the feedback gain of each local state feedback controller is obtained using the existing optimal pole-placement scheme, we construct an overall fuzzy logic controller by blending all local state feedback controller. Finally, the effectiveness and feasibility of the proposed fuzzy-model-based controller design method has been evaluated through an inverted pendulum system.

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수정된 최소자승법을 이용한 간접 적응 극배치 제어기에 관한 연구 (A Study on Indirect Adaptive Pole Placement Controller using a Modified Least Squares Method)

  • 한영성;정영주;노태석;조규복
    • 대한전기학회:학술대회논문집
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    • 대한전기학회 1992년도 하계학술대회 논문집 A
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    • pp.319-322
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    • 1992
  • This paper proposes indirect adaptive pole placement adaptive controller using a modified least squares method. If an adaptive controller has good performance, it is necessary that an estimator have fast convergence. This paper presents a modified least squares method which guarantees the stability of estimator and has fast convergence. In this algorithm, information on signal level is obtained from the determinent of covariance matrix and according to it, weighting factor is tuned.

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Capacity design by developed pole placement structural control

  • Amini, Fereidoun;Karami, Kaveh
    • Structural Engineering and Mechanics
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    • 제39권1호
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    • pp.147-168
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    • 2011
  • To ensure safety and long term performance, structural control has rapidly matured over the past decade into a viable means of limiting structural responses to strong winds and earthquakes. Nonlinear response history analysis requires rigorous procedure to compute seismic demands. Therefore the simplified nonlinear analysis procedures are useful to determine performance of the structure. In this investigation, application of improved capacity demand diagram method in the control of structural system is presented for the first time. Developed pole assignment method (DPAM) in structural systems control is introduced. Genetic algorithm (GA) is employed as an optimization tool for minimizing a target function that defines values of coefficient matrices providing the placement of actuators and optimal control forces. The ground acceleration is modified under induced control forces. Due to this, performance of structure based on improved nonlinear demand diagram is selected to threshold of nonlinear behavior of structure. With small energy consumption characteristics, semi-active devices are especially attractive solutions for limiting earthquake effects. To illustrate the efficiency of DPAM, a 30-story steel moment frame structure employing the semi-active control devices is applied. In comparison to the widely used linear quadratic regulation (LQR), the DPAM controller was shown to be just as effective and better in the reduction of structural responses during large earthquakes.

지능형 디지털 재설계기법을 이용한 비선형 시스템의 제어기 설계 (Fuzzy Controller for Nonlinear Systems Using Intelligent Digital Redesign)

  • 이상준;이남수;주영훈;박진배
    • 한국지능시스템학회:학술대회논문집
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    • 한국퍼지및지능시스템학회 2000년도 추계학술대회 학술발표 논문집
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    • pp.176-179
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    • 2000
  • This paper addresses a fuzzy controller for nonlinear systems control using a pole placement in a specified disk and fuzzy controller is redesign for Intelligent digital redesign method. for nonlinear system, we obtain continuous time state feedback gain that guarantee stability of globally TS fuzzy system. The feedback gain is satified pole placement in a specified disk region so that the closed loop system is stable, For digital control redesgin of continuous time TS fuzzy model, we does state matching and obtain feedback gain of digital controller. Finally, it is shown that the proposed method is feasible through a computer simulation.

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Generalized optimal active control algorithm with weighting matrix configuration, stability and time-delay

  • Cheng, Franklin Y.;Tian, Peter
    • Structural Engineering and Mechanics
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    • 제1권1호
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    • pp.119-135
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    • 1993
  • The paper presents a generalized optimal active control algorithm for earthquake-resistant structures. The study included the weighting matrix configuration, stability, and time-delays for achieving control effectiveness and optimum solution. The sensitivity of various time-delays in the optimal solution is investigated for which the stability regions are determined. A simplified method for reducing the influence of time-delay on dynamic response is proposed. Numerical examples illustrate that the proposed optimal control algorithm is advantageous over others currently in vogue. Its feedback control law is independent of the time increment, and its weighting matrix can be flexibly selected and adjusted at any time during the operation of the control system. The examples also show that the weighting matrix based on pole placement approach is superior to other weighting matrix configurations for its self-adjustable control effectiveness. Using the time-delay correction method can significantly reduce the influence of time-delays on both structural response and required control force.

스텝응답에 기반한 PID/PIDA 제어기의 자동동조 (Auto-tuning of PID/PIDA Controllers based on Step-response)

  • 안경필;이준성;임재식;이영일
    • 제어로봇시스템학회논문지
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    • 제15권10호
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    • pp.974-981
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    • 2009
  • In this paper, a method of auto-tuning of PID (Proportional-Integral-Derivative) and PIDA (Proportional-Integral-Derivative-Acceleration) controllers is proposed that can be applied to a time-delayed second order model. The proposed identification method is based on step responses, but it can be easily automated rising digital controller unlike the existing graphical identification methods. We provide a ways to yield parameter identifications which is independent to initial values of the plants. The tuning rule is based on the pole-placement strategy and is formulated so that it can be implemented using a digital controller with ease.

2축 회전진자의 스윙업제어 (Swing-up control of the 2-link rotational pendulum)

  • 양동훈;유기정;고영길;홍석교
    • 제어로봇시스템학회:학술대회논문집
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    • 제어로봇시스템학회 2000년도 제15차 학술회의논문집
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    • pp.371-371
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    • 2000
  • A strategy for the swing-up control according to states of the 2-link rotational pendulum is proposed. The proposed controller consists of two modes of control such as divergence mode and stabilization mode. When the controller is in divergence mode, control input is generated using sinusoidal and signum function to make the first and second links reach the bottom and top positions, respectively. After the controller finishes divergence mode, stabilization mode is initiated to keep the pendulum around the top position using pole-placement method. Dynamic models including actuator dynamics are obtained using coordinate changes at each control mode. Simulation results are given to show the effectiveness of the proposed method.

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

  • 김종식
    • 한국정밀공학회지
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    • 제6권1호
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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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The robustness of continuous self tuning controller for retarded system

  • Lee, Bongkuk;Huh, Uk Youl
    • 제어로봇시스템학회:학술대회논문집
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    • 제어로봇시스템학회 1991년도 한국자동제어학술회의논문집(국제학술편); KOEX, Seoul; 22-24 Oct. 1991
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    • pp.1930-1933
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    • 1991
  • In this paper, the robustness of self turning controller on the continuous time-delay system is investigated. The polynomial identification method using continuous time exponentially weighted least square algorithm is used for estimating the time.-delay system parameters. The pole-zero and pole placement method are adopted for the control algorithm. On considering the control weighting factor and reliability filter the effect of unmodeled dynamics of the plant are examined by the simulation.

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