• Title/Summary/Keyword: Pole Assignment

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THE CHOOSING AND ANALYSIS OF WEIGHTING MATRIX IN OPTIMAL CONTROL DESIGN. (최적제어 설계에 있어서의 하중행렬의 선택과 해석)

  • Hwang, Chang-Sun;Kim, Chung-Tek
    • Proceedings of the KIEE Conference
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    • 1989.07a
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    • pp.62-65
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    • 1989
  • Optimizing transient response for both tracking reference signals and disturbance rejection is determined by the poles and zeros of the transfer function. Thus, optimal pole assignment and how should weighting matrix for the performance index be chosen is very important to achieve optimum transient response. This paper focus its attention on the choosing and analysis of weighting matrix for optimum pole assignment. Optimum pole assignment is defined for linear time-invariant continuous systems.

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AN ALGORITHM FOR DETERMINING THE WEIGHTING MATRICES OF THE QUADRATIC PERFORMANCE INDEX IN OPTIMAL CONTROL (최적제어 설계에 있어서의 2차형 하중행렬의 한 결정법)

  • Hwa, Chang-Sun;Kim, Chung-Tek
    • Proceedings of the KIEE Conference
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    • 1989.11a
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    • pp.407-410
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    • 1989
  • Optimizing transient response for both tracking reference signals and disturbance rejection is determined by the poles and zeros of the transfer function. Thus, optimal pole assignment and how should weighting matrix for the performance index be chosen is very important to achieve optimum transient response. This paper focus its attention on the choosing and analysis of weighting matrix for optimum pole assignment. Optimum pole assignment is defined for linear time-invariant continuous systems.

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Robust Pole Assignment of Uncertain Linear Systems (불확정성 선형 시스템의 강인 극점 배치)

  • Kim, Jae-Sung;Kim, Jin-Hoon
    • Proceedings of the KIEE Conference
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    • 1999.07b
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    • pp.589-591
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    • 1999
  • In this paper, we consider the robust pole assignment for linear system with time-varying uncertainty. The considered uncertainty is an unstructured uncertainty. Based on Lyapunov stability and linear matrix inequality technique, we present a condition that guarantees the robust pole assignment inside a circular disk and the robust stability of uncertain linear systems. Finally, we show the usefulness of our results by an example.

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Robust pole assignment inside a disk of uncertain linear system (불확정성 선형시스템의 원판내 강인 극점배치)

  • Park, Sang-Min;Kim, Jin-Hoon;Ryu, Jeong-Woong
    • Proceedings of the KIEE Conference
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    • 1997.07b
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    • pp.431-433
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    • 1997
  • In this paper, we consider the robust pole assignment inside the circular region for linear systems with time-varing uncertainty. The considered uncertainties are the norm bounded uncertainty and the matrix polytopes type uncertainty. Since the considered uncertainties are time-varying, it should remind that the closed loop system be time-varing system. Therefore, we should consider not only the pole assignment but also the stability. We present new conditions that guarantee the robust pole assignment and the robust stability. Finally, we show the usefulness of our results by an example.

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The Robust Servo Controller Design of Magnetic Levitation System Considering Pole Assignment Region (극 배치영역을 고려한 자기 부상계의 로버스트 서보제어기 설계)

  • Kim, C.H.;Jeong, H.J.;Yang, J.H.
    • Journal of Power System Engineering
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    • v.4 no.4
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    • pp.84-91
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    • 2000
  • This paper describes a state feedback controller design method of the integral type magnetic levitation servo system which satisfies the design objectives. The design objective is a $H_{\infty}$ performance, asymptotic disturbance rejection and a robust pole assignment in linear matrix inequality(LMI) region. To the end, we investigated the validity of the designed controller which considering a robust pole assignment region, through results of simulation.

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Robust Pole Assignment Control for Linear Systems with Structured Uncertainty (구조적 불확실성을 갖는 선형계의 강인한 극배치 제어)

  • Kim, Young-Chol
    • The Transactions of the Korean Institute of Electrical Engineers
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    • v.41 no.3
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    • pp.300-310
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    • 1992
  • This paper deals with the problem of robust pole-assignment control for linear systems with structured uncertainty. It considers two cases whose colsed-loop characteristic equations are presented as a family of interval polynomial and polytopic polynomial family respectively. We propose a method of finding the pole-placement region in which the fixed gain controller guarantees the required damping ratio and stability margin despite parameter perturbation. Some results of Kharitonov like stability and two kinds of transformations are included. As an illustrative example, we show that the proposed method can apply effectivly to the single magnet levitation system including some uncertainties (mass, inductance etc.).

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A study on optimal variable pole assignment self-tuning control (최적 가변 극점 배치 자기동조 제어에 관한 연구)

  • 전종암;조병선;박민용;이상배
    • 제어로봇시스템학회:학술대회논문집
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    • 1988.10a
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    • pp.246-249
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    • 1988
  • In this paper, a new design technique which uses weighted least-sqare approach for the solution of the pole assignment problem is represented. This technique maybe used to assign some closed loop poles to places which reduce the large system input and output variance due to near pole-zero condition. The least-square approach is also applied to the design of servo self-tuning controller with integrator.

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Two-Degree-of-Freedom Speed Control of Two-Mass System using Optimal Pole Assignment Method (최적 극배치 기법을 이용한 2관성 공진계의 2자유도 속도제어)

  • Jeon, Don-Su;Kim, Dong-Hwa
    • The Transactions of the Korean Institute of Electrical Engineers D
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    • v.49 no.1
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    • pp.18-25
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    • 2000
  • In the two-mass servo system driving a load through a flexible shaft, a shaft torsional vibration is often generated. PI controller has been generally used is speed control of such system because of the simplicity of structure and related theory. This paper presents the inertia ratio of the PI servo control system which can be designed by using optimal pole assignment method is fixed. Therefore, it's difficult to obtain the desired control characteristics for different systems only by PI control algorithm. To solve this problems the two-mass speed control system with PID controller is designed by using pole assignment method and an optimum PID parameters are derived by evaluating ITAE(Integral of time multiplied by the absolute error) performance index. But this design method has some problems due to a trade-off between the fast command following property and the attenuation of disturbances and vibrations. In this paper, 2-DOF PID control method which satisfies the command following property, the reduction of overshoot and the property of disturbance rejection at the same time is proposed. This is a practical speed controller using the desired value filter and the feedforward gain. From several simulations, it's clarified that the proposed 2-DOF PID controller is useful for the two-mass system, in comparison with the conventional PID controller.

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A Pole-Assignment ACC System in the Peripheral End Milling Process (엔드밀링 공정에서 극점배치 구속적응제어 시스템)

  • Chung, Sung-Chong
    • Journal of the Korean Society of Manufacturing Technology Engineers
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    • v.5 no.2
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    • pp.63-72
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    • 1996
  • In order to regulate the cutting force at a desired level during peripheral end milling processes a feedrate override Adaptive Control Constraint (ACC) system was developed. The feedrate override function was accomplished through a development of programmable machine controller (PMC) interface technique on the NC controller, Nonlinear model of the cutting process was linearized as an adaptive model with a time varying process parameter. An integral type estimator was introduced for on-line estimation of the cutting process parameter, Zero order hold digital control methodology which uses pole-assignment concept for tuning of PI controllers was applied for the ACC system. Performance of the ACC system wsa confirmed on the vertical machining center equipped with fanuc OMC through a large amount of experiment.

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Robust pole assignment of proportional integral control system

  • Kim, Hwan-Seong;Ogasawara, Kenichi;Kawaji, Shigeyasu
    • 제어로봇시스템학회:학술대회논문집
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    • 1994.10a
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    • pp.373-378
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    • 1994
  • This paper is concerned with assess the possibility of robust pole assignment of proportional integral(PI) state feedback control system. First, the equivalence relations between a PI control system and an argumented control system proposed by Kawaji and Kim(1994) are extended from the new points of views of invariant closed loop poles. Second, on the relations, a remarkable result that the integral gain of PI control system is directly related to the insensitivity of system is presented. And, it is shown that the design of robust PI pole assignment is possible under the certain conditions.

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