• Title/Summary/Keyword: pole-placement

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A Design Scheme of Controller Using Output Feedback Closed-loop Pole Shifting (출력궤환 페루프 극 이동에 의한 제어계 설계 기법)

  • 이창구;황형수;김성중
    • The Transactions of the Korean Institute of Electrical Engineers
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    • v.36 no.3
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    • pp.221-227
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    • 1987
  • Other problems associated with pole placement have been discussed. A simple algorithm for output feedback pole shifting has been developed. The algorithm is based on minimising an objective function which is the sum of the exponential of the real part of the system colsed loop eigenvalues. It is demonstrated that the algorithm is simple and effective in arriving at a suitable feedback matrix for the control of boiler using only two measurement.

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

  • Park, Minho
    • Journal of the Korea Academia-Industrial cooperation Society
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    • v.19 no.2
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    • pp.608-616
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    • 2018
  • If a general nonlinear system is linearized by the successive multiplication of the 1st and 2nd order systems, then there are four types of poles in this linearized system: the pole of the 1st order system and the equal poles, two distinct real poles, and complex conjugate pair of poles of the 2nd order system. Linear Quadratic (LQ) control is a method of designing a control law that minimizes the quadratic performance index. It has the advantage of ensuring the stability of the system and the pole placement of the root of the system by weighted matrix adjustment. LQ control by the weighted matrix can move the position of the pole of the system arbitrarily, but it is difficult to set the weighting matrix by the trial and error method. This problem can be solved using the characteristic equations of the Hamiltonian system, and if the control weighting matrix is a symmetric matrix of constants, it is possible to move several poles of the system to the desired closed loop poles by applying the control law repeatedly. The paper presents a method of calculating the state weighting matrix and the control law for moving the equal poles with Jordan blocks to two real poles using the characteristic equation of the Hamiltonian system. We express this characteristic equation with a state weighting matrix by means of a trigonometric function, and we derive the relation function (${\rho},\;{\theta}$) between the equal poles and the state weighting matrix under the condition that the two real poles are the roots of the characteristic equation. Then, we obtain the moving-range of the two real poles under the condition that the state weighting matrix becomes a positive semi-finite matrix. We calculate the state weighting matrix and the control law by substituting the two real roots selected in the moving-range into the relational function. As an example, we apply the proposed method to a simple example 3rd order system.

Autonomous Pole Placement Controller Design of Two-Inertia Motor System Based on Genetic Algorithms (유전자 알고리즘을 사용한 2관성 모터 시스템의 자동 극배치 제어기 설계)

  • Gloria Suh;Park, Jung-Il
    • Journal of the Institute of Electronics Engineers of Korea SC
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    • v.40 no.5
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    • pp.317-325
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    • 2003
  • The vibration, which often occurred in a two inertia motor system, makes it difficult to achieve a quick response of speed and disturbance rejection. This paper provides an autonomous pole assignment technique for three kinds of speed controllers (I-P, I-PD, and State feedback) using GAs(Genetic Algorithms) for a two-inertia motor system. Firstly, the optimal parameters are chosen using GAs in view of reducing overshoot and settling time, then those are used in computing the gains of each controller. Some simulation results verify the effectiveness of the proposed design. The proposed controller is expected to be the autonomous design way for controlling a two-inertia motor system with flexible shaft.

Capacity design by developed pole placement structural control

  • Amini, Fereidoun;Karami, Kaveh
    • Structural Engineering and Mechanics
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    • v.39 no.1
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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.

A Study on Multirate Control Using a Current Estimator (현재 상태 추정기를 이용한 멀티레이트 제어에 관한 연구)

  • 황희철;정정주;정동실
    • Journal of Institute of Control, Robotics and Systems
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    • v.8 no.12
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    • pp.1004-1013
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    • 2002
  • A multirate state feedback control (MRSFC) method is proposed for systems sensitive to disturbance and noise based on the multirate estimator design using current estimator. MRSFC updates the controller output slower than the measurement sampling fiequency of system output by a lifting factor $R=T_c/T_s$ The closed-loop MRSFC system is less sensitive to disturbance and noise due to filtering effect than the conventional single-rate control system The multirate estimator gain can be obtained by solving a conventional pole placement problem such that MRSFC has the same spectrum of eigenvalues in the s-plane as the single-rate control. We applied the proposed multirate state feedback controller to a galvanometer servo system Simulation and experimental results show that settling and tracking performances are improved compared with a conventional single-rate pole placement control (PPC).

A Self -Tuning PID Controller for a System with Varying Time Delays (지연시간이 변하는 시스템을 고려한 자기동조 PID 제어기)

  • Lee, Chang-Goo
    • The Transactions of the Korean Institute of Electrical Engineers
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    • v.37 no.7
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    • pp.475-483
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    • 1988
  • One of the advantages of the well-known PID controller is that it is a sufficiently flexible controller for many applications. But, when the plant parameters and disturbances are unknown or change with time, it is desirable to make automatic tuning of PID controller in order to achieve an acceptable level of performance of the control system. This paper presents a reformulation of the self-tuning pole-zero placement controller subject to some conditions and restrictions. It has the structure of a digital PID controller and is based on Vogel and Edgar's pole-zero placement design method. Various properties of this self-tuning PID controller are described and illustrated by simulation examples.

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

  • 이상준;이남수;주영훈;박진배
    • Proceedings of the Korean Institute of Intelligent Systems Conference
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    • 2000.11a
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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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ROBUST CONTROLLER DESIGN FOR IMPROVING VEHICLE ROLL CONTROL

  • Du, H.;Zhang, N
    • International Journal of Automotive Technology
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    • v.8 no.4
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    • pp.445-453
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    • 2007
  • This paper presents a robust controller design approach for improving vehicle dynamic roll motion performance and guaranteeing the closed-loop system stability in spite of vehicle parameter variations resulting from aging elements, loading patterns, and driving conditions, etc. The designed controller is linear parameter-varying (LPV) in terms of the time-varying parameters; its control objective is to minimise the $H_{\infty}$ performance from the steering input to the roll angle while satisfying the closed-loop pole placement constraint such that the optimal dynamic roll motion performance is achieved and robust stability is guaranteed. The sufficient conditions for designing such a controller are given as a finite number of linear matrix inequalities (LMIs). Numerical simulation using the three-degree-of-freedom (3-DOF) yaw-roll vehicle model is presented. It shows that the designed controller can effectively improve the vehicle dynamic roll angle response during J-turn or fishhook maneuver when the vehicle's forward velocity and the roll stiffness are varied significantly.

A Study on the Robustness of a Direct Adaptive Pole-placement Controller (직접 적응 극배치 제어기의 강인성에 관한 연구)

  • Kim, Young-Jin;Kim, Eung-Seok;Yang, Hai-Won
    • Proceedings of the KIEE Conference
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    • 1991.07a
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    • pp.666-669
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    • 1991
  • This paper deals with the robustness of a direct adaptive pole-placement control algorithm for continuous time plants with unmodeled dynamics. In this paper, least squares method is used for controller parameter adaptation and covariance matrix update equation is modified by normalizing signal to guarantee the boundedness of all signals in the closed loop system. In the proposed algorithm, no a priori knowledge is required and it is shown that persistence of excitation condition is required to ensure the stability of the closed loop system.

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A Study on Robust Pole Placement Control Using Sliding Surface based on Neural Network (신경회로망 기반의 슬라이딩 평면을 이용한 강인한 극배치 제어에 관한 연구)

  • Kim, Min-Chan;Park, Seung-Kyu;Wang, Fa-Guang;Kwak, Gun-Pyong
    • Proceedings of the KIEE Conference
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    • 2008.10b
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    • pp.179-180
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    • 2008
  • 본 논문에서는 극배치(pole placement) 제어 시스템의 상태들에 의해서 훈련된 신경 회로망(Neural Network)을 기반으로 새로운 슬라이딩 평면의 설계 기법을 제안한다 훈련된 데이더를 가진 신경 회로망은 배치 제어의 성능을 가지며 새로운 슬라이딩 평면을 설계하는데 사용되어 진다. 그 결과 시스템의 파라미터 불확실성이 존재하더라도 제안된 슬라이딩 평면으로서 슬라이딩 모드 제어의 강인성이 신경회로망을 통한 극배치제어의 성능에 추가되는 것이 가능하다.

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