• Title/Summary/Keyword: Pole Assignment

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Robust Control of Horizontal-Shaft Magnetic Bearing System considering Pole Assignment Region (극 영역을 고려한 횡축형 자기 베어링 시스템의 로버스트 제어)

  • 김창화;추만석;양주호
    • 제어로봇시스템학회:학술대회논문집
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    • 2000.10a
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    • pp.21-21
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    • 2000
  • In this paper, we design the state feedback gain using linear matrix inequality(LMI) to the multiobjective synthesis, in the magnetic bearing system with integral type servo system. The design objectives can be a H$\_$$\infty$/ performance, asymptotic disturbance rejection, time-domain constraints, on the closed-lnp pole location. To the end, we investigated the validity of the designed controller through results of simulation.

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Linear system analysis via wavelet-based pole assignment (웨이블릿 기반 극점 배치 기법에 의한 선형 시스템 해석)

  • Kim, Beom-Soo;Shim, Il-Joo
    • The Transactions of The Korean Institute of Electrical Engineers
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    • v.57 no.8
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    • pp.1434-1439
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    • 2008
  • Numerical methods for solving the state feedback control problem of linear time invariant system are presented in this paper. The methods are based on Haar wavelet approximation. The properties of Haar wavelet are first presented. The operational matrix of integration and its inverse matrix are then utilized to reduce the state feedback control problem to the solution of algebraic matrix equations. The proposed methods reduce the computation time remarkably. Finally a numerical example is illustrated to demonstrate the validity and applicability of the proposed methods.

A Characteristic Polynomial Assignment using PID Controller in F-MM(II) (PID 제어기에 의한 F-MM II의 특성다항식 실현(II))

  • Lee, So-Heum;Chong, Won-Yong;Lee, Hyun-Woo;Chung, Kwang-Jo;Lyu, Sang-Wook;Park, Hyun-Tae
    • Proceedings of the KIEE Conference
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    • 1993.07a
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    • pp.293-295
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    • 1993
  • Most control system design problems involve finding state feedback gain for good response by the pole or characteristic polynomial assignment. In this paper, the characteristic polynomial assignment using PID controller for discrete 2-dimensional system descrived by the Fornasini-Marchesini's 2nd model (F-MM II) is considered. This method it not only available to F-MM II but also to Rosser's model.

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Robust control for linear systems with structured uncertainty (구조적 불확실성을 갖는 프로세스의 robust control)

  • 김영철;박용식;양흥석
    • 제어로봇시스템학회:학술대회논문집
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    • 1989.10a
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    • pp.457-460
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    • 1989
  • This note considers the problems of finding a pole assignment controller for a plant with parameter perturbations. Based on Kharitonov's theorem and its generalized results, we propose a design method of controller using linear transformations such that it guarantees the desired damping ratio.

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Complementary sensitivity characteristics in digital control systems

  • Sung, Hak-Kyung;Hara, Shinji
    • 제어로봇시스템학회:학술대회논문집
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    • 1990.10b
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    • pp.868-871
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    • 1990
  • We derive an intelgral-type constraint on the complementary sensitivity function in digital control systems. Some design guidances are proposed for the pole assignment of digital controller with computation-time delay to improve the complementary sensitivity characteristics.

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A study on output feedback control (출력궤환제어에 대한 연구)

  • 심영철
    • 전기의세계
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    • v.30 no.2
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    • pp.86-96
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    • 1981
  • The problem of incomplet state feedback began to appear late in60's and early in 70's. This was motivated by inability to measure all the states of the system in practice. This survey paper traces the early developments in the subject through to the most recent achievement of gain-determining, pole-assignment, stabilization, and low sensitivity system design with output feedback.

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A Study on controllable canonical forms for multi-input multi-output systems (다입력-다출력 시스템의 가제어성 정준형에 관한 연구)

  • 오세호;변증남
    • Journal of the Korean Institute of Telematics and Electronics
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    • v.17 no.6
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    • pp.9-16
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    • 1980
  • On the multivariable systems described by state equations, it is well known that the poles of the system can be arbitrarily assigned In the S- plane by some state feedback. In this paper, it is discussed that a canonical form by which the state feedback gain matrix for pole assignment may be easily obtained Is stooled and also an algorithm to fond the state feedback gain matrix is presented.

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An inverse LQG/LTR problem applied to the vehicle steering system

  • Park, Yong-Woon;Kim, Dae-Hyun;Scott, Kimbrough
    • 제어로봇시스템학회:학술대회논문집
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    • 1996.10a
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    • pp.324-327
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    • 1996
  • This paper describes the robust controller design methods applied to the problem of an automatic system for tow-vehicle/trailer combinations. This study followed an inverse Linear Quadratic Regulator(LQR) approach which combines pole assignment methods with conventional LOR methods. It overcomes two concerns associated with these separate methods. It overcomes the robustness problems associated with pole placement methods and trial and error required in the application of the LQR problem. Moreover, a Kalman filter is used as the observer, but is modified by using the loop transfer recovery (LTR) technique with modified transmission zero assignment. The proposed inverse LQG,/LTR controllers enhances the forward motion stability and maneuverability of the combination vehicles. At high speeds, where the inherent yaw damping of the vehicle system decreases, the controller operates to maintain an adequate level of yaw damping. At backward moton, both 4WS (2WS tow-vehicle, 2WS trailer) and 6WS (4WS tow-vehicle, 2WS trailer) control laws are proposed by using inverse LQG/LTR method. To evaluate the stability and robustness of the proposed controllers, simulations for both forward and backward motion were conducted using a detailed nonlinear model. The proposed controllers are significantly more robust than the previous controllers and continues to operate effectively in spite of parameter perturbations that would cause previous controllers to enters limit cycles or to loose stability.

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Design of Continuous-Time System Using Bilinear Transformation (쌍선형 변환에 의한 연속 시간계의 설계)

  • Kim, Sang-Bong;An, Hwi-Ung
    • Journal of the Korean Society of Fisheries and Ocean Technology
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    • v.25 no.3
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    • pp.137-142
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    • 1989
  • A pole assignment problem in a specified region is solved using a bilinear transformation method. It is well known that the problem designing discrete-time system or vice versa is called redesign problem, But there is not so much study that is cyclic type of design, i.e. from continuous system to discrete system and from the latter to the former system. In this paper, the cyclic type of design for the continuous-time system is proposed using the bilinear transformation. In the view of a pole assignment method with poles in a specified region, it will be possible to design a regulator or a servo system considering damping ratio, stability degree and band with which are resulted to the characteristics of the closed-loop system.

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Sliding mode control for structures based on the frequency content of the earthquake loading

  • Pnevmatikos, Nikos G.;Gantes, Charis J.
    • Smart Structures and Systems
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    • v.5 no.3
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    • pp.209-221
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    • 2009
  • A control algorithm for seismic protection of building structures based on the theory of variable structural control or sliding mode control is presented. The paper focus in the design of sliding surface. A method for determining the sliding surface by pole assignment algorithm where the poles of the system in the sliding surface are obtained on-line, based on the frequency content of the incoming earthquake signal applied to the structure, is proposed. The proposed algorithm consists of the following steps: (i) On-line FFT process is applied to the incoming part of the signal and its frequency content is recognized. (ii) A transformation of the frequency content to the complex plane is performed and the desired location of poles of the controlled structure on the sliding surface is estimated. (iii) Based on the estimated poles the sliding surface is obtained. (iv) Then, the control force which will drive the response trajectory into the estimated sliding surface and force it to stay there all the subsequent time is obtained using Lyapunov stability theory. The above steps are repeated continuously for the entire duration of the incoming earthquake. The potential applications and the effectiveness of the improved control algorithm are demonstrated by numerical examples. The simulation results indicate that the response of a structure is reduced significantly compared to the response of the uncontrolled structure, while the required control demand is achievable.