• Title/Summary/Keyword: Stability-Robustness

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Observer-Based Robust Control Giving Consideration to Transient Behavior for Linear Uncertain Discrete-Time Systems

  • Oya, Hidetoshi;Hagino, Kojiro
    • 제어로봇시스템학회:학술대회논문집
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    • 2003.10a
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    • pp.903-908
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    • 2003
  • In this paper, we present an observer-based robust controller which achieves not only robust stability but also an performance robustness for linear uncertain discrete-time systems. The performance robustness means that comparing the transient behavior of the uncertain system with a desired one generated by the nominal system, the deterioration of control performance (i.e. the error between the real response and the desired one) is suppressed without excessive control input. The control law consists of a state feedback law for the nominal system and a compensation input given by a feedback form of an estimated error signal. In this paper, we show that conditions for the existence of the observer-based controller are given in terms of linear matrix inequalities (LMIs). Finally, a numerical example is given to illustrate the proposed technique.

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A Robustness Control of Magnetic Levitation System Using Linear Matrix Inequality (선형행렬부등식을 이용한 자기 부상계의 강인성 제어)

  • Kim, C.H.;Yang, J.H.
    • Journal of Power System Engineering
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    • v.3 no.4
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    • pp.79-85
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    • 1999
  • The magnetic levitation system is utilized in the magnetic bearing of high-speed rotor system because of little friction, no lubrication, no noise and so on. The magnetic levitation system needs the feedback controller for the stabilization of system, and gap sensors are generally used to measure the gap. The use of sensor easily goes into troublesome caused by sensor failure discord between the measurement point and the control point etc. This paper gives a controller design method of magnetic levitation system which satisfies the given $H_{\infty}$ control performance and the robust stability of the presence of physical parameter perturbations. To the end, we investigated the validity of the designed controller through results of simulation.

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A Study on the Robustness of a Direct Adaptive Pole-placement Controller (직접 적응 극배치 제어기의 강인성에 관한 연구)

  • Kim, Young-Jin;Kim, Eung-Seok;Yang, Hai-Won
    • Proceedings of the KIEE Conference
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    • 1991.07a
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    • pp.666-669
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    • 1991
  • This paper deals with the robustness of a direct adaptive pole-placement control algorithm for continuous time plants with unmodeled dynamics. In this paper, least squares method is used for controller parameter adaptation and covariance matrix update equation is modified by normalizing signal to guarantee the boundedness of all signals in the closed loop system. In the proposed algorithm, no a priori knowledge is required and it is shown that persistence of excitation condition is required to ensure the stability of the closed loop system.

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Precise Position Synchronous Control of Four-Axes System Based on Acceleration Control (가속도제어에 의한 4축 시스템의 정밀 위치동기제어)

  • Jeong, Seok-Kwon;Choi, Bong-Seok;You, Sam-Sang
    • Transactions of the Korean Society of Mechanical Engineers A
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    • v.28 no.9
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    • pp.1245-1254
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    • 2004
  • In this paper, we deal with a precise position synchronous control of four-axes system which is working under various load disturbances. Each axis driving system is consisted of a speed controller and an acceleration controller as an inner loop instead of conventional current control scheme. The acceleration control plays an important roll to suppress load disturbances quickly. Also, each axis is coupled by a maximum position synchronous error comparison to minimize position synchronous errors according to integration of speed differency. As a result, the proposed system enables precise synchronous control with good robustness against load disturbances during transient as well as steady state. The stability and robustness of the proposed system are investigated through its frequency characteristic and numerical simulations. Finally, experimental results under load disturbances demonstrate the effectiveness of the proposed control system fur four-axes position synchronous control.

Robust Torque Control of Internal Combustion Engine Using LMI Technique (수치화 최적화 기법을 이용한 내연기관의 강인한 토크 제어)

  • 김영복;양주호
    • Transactions of the Korean Society of Automotive Engineers
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    • v.5 no.4
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    • pp.100-109
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    • 1997
  • Parameters in the internal combustion engines are variable depending on the operating points. Therefore, it is necessary to compensate for the uncertainties. Form this point of view, this paper gives a controller design method and a robust stability condition by LMI approach for engine torque control which satisfies the gives H$\infty$ control performance in the presence of physical parameter perturbations. To the end, the robustness of the system in the presence of perturbation is guaranteed in the all engine operating regions. Its effectiveness is demonstrated by simulation.

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WHEEL SLIP CONTROL WITH MOVING SLIDING SURFACE FOR TRACTION CONTROL SYSTEM

  • Chun, K.;Sunwoo, M.
    • International Journal of Automotive Technology
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    • v.5 no.2
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    • pp.123-133
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    • 2004
  • This paper describes a robust and fast wheel slip tracking control using a moving sliding surface technique. A traction control system (TCS) is the active safety system used to prevent the wheel slipping and thus improve acceleration performance, stability and steerability on slippery roads through the engine torque and/or brake torque control. This paper presents a wheel slip control for TCS through the engine torque control. The proposed controller can track a reference input wheel slip in a predetermined time. The design strategy investigated is based on a moving sliding surface that only contains the error between the reference input wheel slip and the actual wheel slip. The used moving sliding mode was originally designed to ensure that the states remain on a sliding surface, thereby achieving robustness and eliminating chattering. The improved robustness in driving is important due to changes, such as from dry road to wet road or vice versa which always happen in working conditions. Simulations are performed to demonstrate the effectiveness of the proposed moving sliding mode controller.

Observer Design for Enhanced Robustness of Multivariable Predictive control (다변수 예측제어 시스템의 강인성 향상을 위한 관측기 다항식 설계)

  • Kim, Jung-Su;Yoon, Tae-Woong
    • Proceedings of the KIEE Conference
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    • 1999.11c
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    • pp.497-499
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    • 1999
  • This paper considers enhancing the robustness of a MIMO(Multi-Input Multi-Output) predictive control system. The characteristic polynomial matrix of the closed-loop is shown to consist of two factors $P_c$ and T, where $P_c$ is determined by the tuning knobs of the predictive controller and T is an observer or prefilter polynomial matrix. The robust stability condition is derived in terms of $P_c$ and T. A guideline on the selection of T is then presented for open-loop stable processes.

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Robustness Analysis of MRAC System in the Presence of Unmodelled Dynamics (비모형화 특성을 갖는 기준모델 적응제어 시스템의 견고성 해석)

  • 김성덕;양해원
    • The Transactions of the Korean Institute of Electrical Engineers
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    • v.36 no.10
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    • pp.748-754
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    • 1987
  • A robustness analysis for model reference adaptive control(MRAC) system with plant uncertainty is discussed in this paper. The adaptive control system is designed under assumptions that the controlled plant is represented by a lst order nominal model and that the system is drived by a constant reference signal. When using general gradient method(GGM), it is shown that unmodelled dynamics in plant model can cause the instability of the overall control loop during the adaptation process. However, as the algorithm of least square method(LSM) is introduced, the global stability of the system can be hold. And it is also given that the boundedness of adjustable parameters may be verified using the concept of an equilibrium point analysis.

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A Design of Robust Controller for the Turret Servo System Using LQG/LTR Method (LQG/LTR 방법을 이용한 터렛 서보시스템의 강인한 제어기 설계)

  • Kim, Jong-Hwa;Hur, Nam-Soo;Lee, Man-Hyung
    • Journal of the Korean Society for Precision Engineering
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    • v.6 no.2
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    • pp.88-97
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    • 1989
  • In general turret servo system is subject to influnces by disturbances and uncertain modeling errors, which result from large dynamic characteristics and high-spedd operation. In this paper the influences of such disturbances and modeling errors are analyzed quali- tatively for the linerar approximation model of turret servo system, and then LQG/LTR control theory is applied to linear approximation model in order to design a controller which satisfies robustness/stability for the modeling errors. Finally the performance and robustness of designed controller for the given plant are verified through the simulation.

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H${\infty}$discrete-time servo control of optical pick-ups (광 픽업 장치의 H${\infty}$이산시간 서보제어)

  • 임승철;김윤영
    • Journal of KSNVE
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    • v.6 no.4
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    • pp.521-528
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    • 1996
  • Recently, higher speed optical disk drives including computer CD-ROM drives tend to be increasingly demanded to read or write the enormous volume of digital data. To this end, both structure and controller designs of the optical pick-ups should be improved concurrently. In this paper, the pick-up during auto-focusing motion is mathematically modelled retaining all its peculiar features. The model turns out a linear time invariant system suitable for a control design namedH${\infty}$ which ensures robust stability in the presence of system uncertainties. Numerical simulations are performed to demonstrate the robustness with appropriate performance specifications being satisfied. In addition, as the implementation issue of it, procedures of temporal discretization as well as model reduction of the controller are also addressed.

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