• Title/Summary/Keyword: stability and robustness

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Eigenstructure-Based Robust Stability Criterion for Linear Time-Varying Systems

  • Lee, Ho-Chul;Park, Jae-Weon
    • 제어로봇시스템학회:학술대회논문집
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    • 2002.10a
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    • pp.44.3-44
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    • 2002
  • Stability robustness of a linear time-varying system with time-varying structured state space uncertainties is considered by using extended-mean theorem and Bellman's lemma. The extended-mean theorem is a necessary and sufficient exponential stability criterion based on the recently developed PD-eigenvalue and PD-eigenvector for a linear time-varying system. Our new result required that the extended-mean of each nominal PD-eigenvalue should be negative real which is determined by a norm involving the structures of the uncertainty and the no...

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$H{\infty}$ optimal controller robustness and performance improvement by frequency domain analysis of open loop transfer function (개루프 전달함수 주파수영역 해석에 의한 $H{\infty}$ 최적 제어기의 견실성 및 성능 개선)

  • Kim, Y.K.;Ryu, C.K.
    • Proceedings of the KIEE Conference
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    • 1999.07b
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    • pp.761-763
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    • 1999
  • When the controller designed by the $H{\infty}$ control technique is applied to the object system, sometimes the controller does not satisfy the robust stability and robust performance but only satisfy the nominal performance. In this paper, we derive the region on the frequency response curve of the open-loop transfer function which satisfy the robustness and robust performance of the designed controller. We also derive the region for the suitableness of the weighting function on the frequency response curve of the weighting function. We showed that the robust stability and the robust performance of the $H{\infty}$ optimal control)or by applying the designed controller on an electromechanical actuator system could be improved by determining parameter ${\gamma}$ and weighting function gain ${\alpha}$ using the derived region.

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Automotive Active Suspension Design Using LQG/LTR Method (LQG/LTR 설계방법을 이용한 자동차 현가장치 능동제어)

  • 황재혁;박봉철;백승호
    • Journal of KSNVE
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    • v.3 no.4
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    • pp.383-394
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    • 1993
  • An automotive suspension system generally behaves like a low frequency band-pass filter(0.5 - 10 Hz). Passengers are very sensitive to this frequency range in terms of ride quality and road holding ability. In this paper, a LQG/ LTR controller is suggested to improve the ride quality and road holding ability in the specified frequency rage. It has been found by numerical simulation that the ride quality and road holding ability can be improved in the frequency ranges of 0.5 - 3.0 Hz and 0.3 - 2.1 Hz respectively. In addition, a new approach using root locus to evaluate the stability robustness of the active suspension system is studied. It is shown that the stability robustness of the LQG/LTR controller designed in this paper is improved, compared to the passive system.

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Robust PID Controller Design using Sensitivity Function (감도함수를 이용한 강인한 PID 제어기 설계)

  • Oh, Won-Geun;Lim, Dong-Kyun;Cho, Tae-Kyung
    • The Transactions of the Korean Institute of Electrical Engineers P
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    • v.54 no.3
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    • pp.129-133
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    • 2005
  • In this paper we present a new PID controller design method using IMC design. The PID controller is derived based on the ${\infty}$-norm of sensitivity function to guarantee stability and performance robustness. This new PID controller is suitable for the plant with right half plane zeros or with time delay. The Simulation results show that the new method is superior to Ziegler-Nichols, Morari-Zafiriou, Mattezzoni-Rocco methods in respects in overshoot and settling time.

Robust PI controller design using LQ-servo (LQ-servo를 이용한 강인한 PI제어기 설계)

  • 이동영;윤성오;서병설
    • 제어로봇시스템학회:학술대회논문집
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    • 1996.10b
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    • pp.577-580
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    • 1996
  • LQ-servo is a stability-robustness guaranteed multivariable controller design method based on the LQR structure to improve command following performance with output feedback. In this paper, a new type of PI controller based on LQ-servo is introduced. Then, Command following performance is improved using the limiting behavior of the control gain and weighting factors on the low frequency part of design parameter Q that is the state weighting matrix in the cost function.

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A modified model reference adaptive system for the speed identification of induction motors

  • Hur, Namho;Hong, Kichul;Nam, Kwanghee
    • 제어로봇시스템학회:학술대회논문집
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    • 1996.10b
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    • pp.427-431
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    • 1996
  • The MRAS proposed by Schauder [8] is modified to improve robustness to the change of load torque and/or the variation of the stator resistance. The difference between the voltage and the current model is fed into the current model via proportional and integral gains. In order to generalize the MRAS, supposing that the rotor speed is time varying, we add a compensating term to the current model. It does not alter the Popov's integral inequality condition. Also, the asymptotic stability of the modified MRAS (MMRAS) is shown with the stability proof technique as in the original paper. By the simulation works, it is verified that the MMRAS obtains improved performance than the original MRAS.

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Design of Robust GA-QFT Controller for Enhancement of Power System Stability (전력계통의 안정도 향상을 위한 강인한 GA-QFT 제어기 설계)

  • Chung, Hyeong-Hwan;Lee, Jeong-Phil;Hur, Dong-Ryol;Kim, Chang-Hyun
    • The Transactions of the Korean Institute of Electrical Engineers A
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    • v.50 no.4
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    • pp.197-207
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    • 2001
  • In this paper, design problem of QFT-PSS using Genetic Algorithm(GA) is investigated for power systems with parameter variation and disturbance uncertainties. A robust controller for uncertain power systems can be designed automatically such that the cost of feedback is minimized and all robust stability and performance specifications are satisfied. It is shown that the proposed design method not only automates loop shaping but also improves design quality and improves the quality with a reduced order controller. The robustness of the proposed controller has been investigated on a single machine infinite bus model. The results are shown that the proposed QFT-PSS using GA is more robust tan conventional PSS.

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Robust Adaptive Control for the System with Unmodelled Dynamics (비모형화 특성을 갖는 시스템의 견고성 적응제어)

  • 김성덕;양해원
    • The Transactions of the Korean Institute of Electrical Engineers
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    • v.36 no.9
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    • pp.670-677
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    • 1987
  • The robustness and stability properties for a model reference adaptive control system with plant uncertainty are considered in this paper, using input-output stability theory. An error model for a typical adaptive control structure is extended to unmodelled dynamics in the plant model and then, the strictly positive real condition for global stability is examined. In general, since this condition can be easily violated due to unmodelled dynamics, a modified compensator which can be guaranteed Hev e SPR is introduced in the plant model and the effectiveness for the given structure is also given.

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Vibration control of a flexible SCARA type robot (유연한 수평 다관절형 로봇의 진동제어)

  • 용대중;임승철
    • 제어로봇시스템학회:학술대회논문집
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    • 1996.10b
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    • pp.225-228
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    • 1996
  • This paper concerns a SCARA type robot with the second arm flexible. Its equations of motion are derived by the Lagrangian mechanics. For controller design, the perturbation approach is taken to separate the original equations of motion into linear equations describing small perturbed motions and nonlinear equations describing purely rigid motion of the robot. To effect the desired payload motion, open loop control inputs are first determined based on the inverse dynamics of the latter. Next, in order to reduce the positional error during maneuver, an active vibration suppression is done. To this end, a feedback control is designed for robustness against disturbance on the basis of the linear equations and the LQR theory modified with a prescribed degree of stability. The numerical simulations results show the satisfactory control performance.

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Robust Direct Adaptive Fuzzy Controller (강인한 직접 적응 퍼지 제어기)

  • 김용태;변증남
    • Proceedings of the Korean Institute of Intelligent Systems Conference
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    • 1997.10a
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    • pp.199-203
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    • 1997
  • In this paper is proposed a new direct adaptive fuzzy controller that dan ve applied for tracking control of a class of uncertain nonlinear SISO systems. It is shown that, in the presence of the perturbations such as fuzzy approximation error and external disturbance, boundedness of all the signals in the system is ensured, while under the assumption of no perturbations, the stability of the overall system in guaranteed. Also, the concept of persistent excitation in the adaptive fuzzy control systems is introduced to guarantee the convergence and the boundedness of adaptation parameter in the proposed controllers. Simulation example shows the effectiveness of the proposed method in the presence of fuzzy approximation error and external disturbance.

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