• Title/Summary/Keyword: Pole Assignment

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Partial Pole Assignment via Constant Gain Feedback in Two Classes of Frequency-domain Models

  • Wang, Guo-Sheng;Yang, Guo-Zhen;Duan, Guang-Ren
    • International Journal of Control, Automation, and Systems
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    • v.5 no.2
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    • pp.111-116
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    • 2007
  • The design problem of partial pole assignment (PPA) in two classes of frequency-domain MIMO models by constant gain feedback is investigated in this paper. Its aim is to design a constant gain feedback which changes only a subset of the open-loop eigenvalues, while the rest of them are kept unchanged in the closed-loop system. A near general parametric expression for the feedback gain matrix in term of a set of design parameter vectors and the set of the closed-loop poles, and a simple parametric approach for solving the proposed problem are presented. The set of poles do not need to be previously prescribed, and can be set undetermined and treated together with the set of parametric vectors as degrees of design freedom provided by the approach. An illustrative example shows that the proposed parametric method is simple and effective.

A Novel Approach to the Design of Discrete Adative Pole Assignment Controller with Integral Action (적분기를 갖는 직접 적응 극 배치 제어기의 새로운 설계 기법)

  • Kim, Jong-Hwan;Lee, Ju-Jang;Kim, Tai-Hyun
    • Proceedings of the KIEE Conference
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    • 1990.07a
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    • pp.60-63
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    • 1990
  • This note presents a direct adaptive pole assignment control for general discrete, linear, time-invariant, nonmimum phase system.Controller parameters are estimated from the recursive least-squares algorithm, and some additional auxiliary parameters are obtained from aset of recursive equations based on a certain polynomial identity which is derived from the pole assignment equation and the Bezout identity. This scheme increase the numerical stability of the auxiliary parameters, and guarantees local convergence without any extra conditions for the external input. The effectiveness of the proposed scheme is demonstrated by the computer simulation.

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Robust Pole Assignment for Time Varying Uncertain Linear Systems via LMI Approach (LMI기법을 이용한 시변 불확정성을 갖는 선형 시스템의 강인 극점 배치)

  • Ma, Sam-Sun;Kim, Jin-Hoon
    • Proceedings of the KIEE Conference
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    • 2000.07d
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    • pp.2287-2289
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    • 2000
  • This paper focuses on the robust pole assignment for time varying uncertain linear systems in a specified disk. Based on Linear Matrix Inequality(LMI) approach, we give two sufficient conditions, one is for the analysis and another is for the design, that guarantee the robust pole assignment in a specified disk in the left half plane(L.H.P) while satisfying the robust stability. Since these conditions are expressed as LMI forms, we can easily check their feasibility using MATLAB control toolbox. Finally, we show by an example that our results are useful for analysis and design.

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[ $H_2$ ]-optimal Control with Regional Pole Assignment via State Feedback

  • Wang Guo-Sheng;Liang Bing;Duan Guang-Ren
    • International Journal of Control, Automation, and Systems
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    • v.4 no.5
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    • pp.653-659
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    • 2006
  • The design of $H_2$-optimal control with regional pole assignment via state feedback in linear time-invariant systems is investigated. The aim is to find a state feedback controller such that the closed-loop system has the desired eigenvalues lying in some desired stable regions and attenuates the disturbance between the output vector and the disturbance vector. Based on a proposed result of parametric eigenstructure assignment via state feedback in linear systems, the considered $H_2$-optimal control problem is changed into a minimization problem with certain constraints, and a simple and effective algorithm is proposed for this considered problem. A numerical example and its simulation results show the simplicity and effectiveness of this proposed algorithm.

Pole assignment for three-dimensional systems using two-dimensional dynamic compensators

  • Kawakami, Atsushi
    • 제어로봇시스템학회:학술대회논문집
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    • 1990.10b
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    • pp.1135-1138
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    • 1990
  • In this paper, we study the pole assignment problem for three-dimensional systems. We transform the denominator of transfer functions of the closed-loop system into the product of three stable one-dimensional polynomials, by performing two-dimensional dynamical feedback and input transformation on the given three-dimensional systems. In the next, we consider the possibility that these two-dimensional dynamic compensators are realizable, thoroughly, and propose the counter-measure in case that they are not realizable. And, we obtain the conditions so that the closed-loop three-dimensional systems are stable. Moreover, we calculate the dynamical dimension which is necessary for the pole assigntmnt, and suggest the pole assignmnt method with the lowest dynamical dimnsion.

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Adaptive Controller Based on Pole/zero Assignment (극배치 기법을 이용한 적응제어기에 관한 연구)

  • Noh, Dae-Jong;Seo, Jin-Heon
    • Proceedings of the KIEE Conference
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    • 1989.11a
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    • pp.383-387
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    • 1989
  • In this paper, an adaptive algorithm for processes with unmeasured deterministic disturbances is presented. This algorithm is simple to synthesize an adaptive controller with desired pole/zero assignment. The internal stability requirement is achieved so that this algorithm can easily handle any minimum or non-minimum phase system. Some simulations are given to show the applicability of this approach.

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A Design on Multivariable Controller for Industrial Robot Manipulators (산업용 로봇 매니퓰레이터의 다변수 제어기 설계)

  • 한상완;홍석교
    • Journal of Institute of Control, Robotics and Systems
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    • v.4 no.5
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    • pp.636-643
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    • 1998
  • This paper is presents multivariable control scheme for industrial robot manipulators. The control scheme consists of two loops. The modeling error between linearized robot model and actual robot model is compensated in error compensation loop. The PID control loop is designed for pole assignment to stability of robot system and utilized for trajectory tracking. Alternatively computer simulation results are given for illustration purpose of suggested controller.

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Design of state space pole assignment self-tuning controller for MIMO systems using RPE method (RPE 방법을 이용한 다입출력 시스템의 상태공간 극배치 자기동조 제어기 설계)

  • 강석종;전기준
    • 제어로봇시스템학회:학술대회논문집
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    • 1986.10a
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    • pp.90-94
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    • 1986
  • This paper describes expansion of the state space pole assignment self-tuning control of SISO systems with system noise and abservation noise to that of MIMO systems. Resursive Prediction Error method is used for both parameter and state estimation in the block controllable canonical form. This simplifies the state feedback law by eliminating the online computation of transformation matrix.

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Voltage Controller Design of Synchronous Generator by Pole Assignment (극배치에 의한 동기발전기의 전압제어기 설계)

  • Yim, Han-Suck
    • The Transactions of the Korean Institute of Electrical Engineers
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    • v.34 no.12
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    • pp.472-484
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    • 1985
  • A design of robust voltage controller for high speed excitation of synchronous machine was carried out by pole assignment techniques. An affine map from characteristic polynomial coefficients to feedback parameters is formulated in order to place the system eigen values in the desired region. The feedback parameters determined from linearized model are tested on nonlinear model subjecting it to small disturbances and system faults to show the effectiveness of the controller designed by the proposed technique. The results obtained indicate that the controller presented improves the dynamic stability and system performances of conventionally controlled synchronous machine significantly.

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Pole-Zero Assignment Self-Tuning Controller Using Neural Network (신경회로망 기법을 이용한 극-영점 배치 자기 동조 제어기)

  • 구영모;이윤섭;장석호;우광방
    • The Transactions of the Korean Institute of Electrical Engineers
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    • v.40 no.2
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    • pp.183-191
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    • 1991
  • This paper develops a pole-zero assignment self-tuning regulator utilizing the method of a neural network in the plant parameter estimation. An approach to parameter estimation of the plant with a Hopfield neural network model is proposed, and the control characteristics of the plant are evaluated by means of a simulation for a second-order linear time invariant plant. The results obtained with those of Exponentially Weighted Recursive Least Squares(EWRLS) method are also shown.