• Title/Summary/Keyword: Pole Placement

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Modeling and adaptive pole-placement control of LDPE autoclave reactor

  • Ham, Jae-Yong;Rhee, Hyun-Ku
    • 제어로봇시스템학회:학술대회논문집
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    • 1992.10b
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    • pp.146-151
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    • 1992
  • A two-compartment four-cell model is developed for the adiabatic autoclave slim type reactor for free radical polymerization of low density polyethylene(LDPE). The mass and energy balances give rise to a set of ordinary differential equations, and by analyzing the system it is possible to predict properly not only the reactor performance but also the properties of polymer product. The steady state multiplicity is found to exist and examined by constructing the bifurcation diagram. The effects of various operation parameters on the reactor performance and polymer properties are investigated systematically to show that the temperature distribution plays the central role for the properties of polymer product. Therefore, it is essential to establish a good control strategy for the temperature in each compartment. In this study it is shown that the reactor system can be adoptively controlled by pole-placement algorithm with conventional PID controller. To accomplish a satisfactory control, the estimator and controller are initialized during the period of start-up.

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Nominal States Relationship and Its Sliding Mode Control Application

  • Kim, Min-Chan;Ko, Chang-Min;Park, Seung-Kyu;Kwak, Gun-Pyong;Yoon, Tae-Sung;Ahn, Ho-Kyun
    • Journal of information and communication convergence engineering
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    • v.7 no.3
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    • pp.356-360
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    • 2009
  • A novel method to derive a Nominal States Relationship (NSR) of a control system is proposed. The obtained relationship is used to design a sliding surface which can have the characteristic of a nominal system. With this sliding surface, a Sliding Mode Control (SMC) system which has the characteristics of the nominal system controlled by pole placement is designed for an uncertain system.

Intelligent Auto-Tuning for Adaptive Control of DC Motor System with Load Inertia of Great Variation

  • Woraphojn Khongphasook;Vipan Prijapanij;anant, Phornsuk-Ratiroch;Jongkol Ngamwiwit;Hiroshi Hirata
    • 제어로봇시스템학회:학술대회논문집
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    • 2000.10a
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    • pp.442-442
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    • 2000
  • The intelligent auto-tuning method fur a strongly stable adaptive control system of a DC motor with great load inertia variation is proposed. The stable characteristic polynomial that is designed by an optimal servo is specified for the adaptive pole placement control system. The appropriate adaptive control system can be derived, by adjusting automatically the weight of a performance criterion in optimal control by means of the fuzzy inference on the basis of the stability index.

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

  • 양동훈;유기정;고영길;홍석교
    • 제어로봇시스템학회:학술대회논문집
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    • 2000.10a
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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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Design of Multirate Controller using a Current Estimator (Current Estimator를 이용한 멀티레이트 제어기 설계)

  • 황희철;정정주
    • 제어로봇시스템학회:학술대회논문집
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    • 2000.10a
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    • pp.190-190
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    • 2000
  • This paper presents a multirate state feedback control (MRSFC) method for systems sensitive to disturbance and noise based on the multirate estimator design using the current estimator. MRSFC updates the controller output slower than the measurement sampling frequency of system output by a lifting factor R=T$\sub$c//T$\sub$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 is obtained from 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).

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An Indirect Adaptive Pole placement Controller Using a Discrete Adaptive Observer with Exponenrial Data weighting (지수 함수적 가중 특성의 적응 관측기를 이용한 간접 극배치 적응 제어기)

  • Kim, Jong-Hwan;Park, Dong-Jo;Jeon, Jeong-Yeol
    • Proceedings of the KIEE Conference
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    • 1990.07a
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    • pp.43-46
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    • 1990
  • A general scheme for a discrete adaptive observer having exponetial weighting properties is presented for a single-input single-output linear system. In this scheme, all the past measurement data are weighted esponetially both with the weighting factor and the stable matrix F. This observer is then implemented in the design of an indirect adaptive pole placement contoller. To increase nemerical stability in getting the controller parameter, a recusive algorithm is introduced. It is shown that the overall control scheme is globally stable with the persistent excition

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

  • Kim, Jong-Sik
    • Journal of the Korean Society for Precision Engineering
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    • v.6 no.1
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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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Robust pole placement condition using generalized singular value (일반화된 특이치를 사용한 강인한 극배치 조건)

  • Lee, Jun-Hwa;Gwon, Uk-Hyeon
    • Journal of Institute of Control, Robotics and Systems
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    • v.1 no.1
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    • pp.13-19
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    • 1995
  • In this paper, generalized singular value is defined. Using the generalized singular value, robust stability conditions and robust pole placement conditions of structured uncertain systems with star shaped uncertainties are derived. Especially, norm bounded and polytopic uncertainty regions are considered as star shaped uncertainty regions. Linear matrix inequality problems are proposed in order to compute the upper bound of the generalized singular value. The proposed linear matrix inequality problems can be solved by using the convex optimization method.

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A Study on the Speed Control of a DC Servo Motor by the Pole-Placement PID Self Tuning Control Method. (극 배치 PID 자기동조 제어방식에 의한 DC 서보전동기 속도에 관한 연구)

  • 강형수;양해원
    • The Transactions of the Korean Institute of Electrical Engineers
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    • v.37 no.9
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    • pp.646-654
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    • 1988
  • In this paper, a speed controller using a microcomputer is implemented and applied to a DC Servo Motor. Adaptive control is applied to a system for which a priori knowledge to its mathematical model is insufficient, on the basis of input and output data an apropriate controller is constructed through which the system input is synthesized. The pole-placement PID self tuning control algorithms as a control algorithm is used to compare the performance of the controller with that of the classical PID controller through computer simulations and experiments.

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A Globally Convergent Pole Placement Indirect Adaptive Controller using Parameter Correction (파라미터 교정법을 이용한 대국적인 수럼성을 갖는 간접적응제어기)

  • 김홍필;양해원
    • The Transactions of the Korean Institute of Electrical Engineers
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    • v.38 no.11
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    • pp.913-921
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    • 1989
  • This paper deals with a pole placement indirect adaptive control algorithm for discrete-time linear plants with arbitrary zeros. The resulting closed-loop control system is shown to be globally stable subject to the assumptions that an external input is persistently exciting and a lower bound on the magnitude of the Sylvester resultant of the plant numerator and denominator polynomials is known. The problem of controllability of the plant estimate in indirect adaptive control is handled by using an extended parameter correction. The validity of the proposed control algorithm is assured through simulation for a second-order plant.