• Title/Summary/Keyword: uncertainties

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Robust Sampled-Data Controller Design for a Flexible Beam (유연한 빔을 위한 강인한 샘플치 제어기의 설계)

  • Choe, Y.W.
    • Journal of Power System Engineering
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    • v.9 no.2
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    • pp.65-72
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    • 2005
  • A new approach is presented to design a robust sampled-data controller for an experimental flexible beam carrying an unknown payload at its free end. The purpose of this paper is to move the free end of the beam to a desired position in the specified time under vibration suppression. We derive a transfer function nominal model for the beam and quantitative description of model uncertainties based on experimentally obtained frequency response data. Robust controllers are designed by applying the sampled-data $H_{\infty}$ control and ${\mu}m-theory$, in which two types of uncertainties, structured and unstructured uncertainties, are adopted for satisfactory performance in terms of hinge position regulation and vibration damping, besides obviously asymptotic stability. The effectiveness of the proposed method is confirmed through simulation and experimentation.

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Robust output feedback compensator design for multivariable systems

  • Choi, Han-Ho;Yoo, Dong-Sang;Chung, Myung-Jin
    • 제어로봇시스템학회:학술대회논문집
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    • 1991.10b
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    • pp.1545-1548
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    • 1991
  • In this note, we consider a robust linear shift-invariant feedback compensator design for discrete-time multivariable systems which have both matched and mismatched uncertainties. In order to attack the problem of designing robust compensators guaranteeing uniform ultimate boundedness of every closed-loop system response within a neighborhood of the zero state based solely on the knowledge of the upper norm-bounds of uncertainties, we use an approach which is effective on studying augmented feedback control systems with both mismatched and matched uncertainties. We draw some robust stability conditions using the approach and give an example.

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Control of nonlinear systems with mismatched uncertainties using an output feedback (출력피드백에 의한 비매칭 불확실성이 있는 비선형계의 제어)

  • Park, Chang-Yong;Sung, Yul-Wan;Kwon, Oh-Kyu
    • Transactions of the Korean Society of Mechanical Engineers A
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    • v.21 no.8
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    • pp.1188-1194
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    • 1997
  • In this paper, we design output feedback nonlinear dynamic control law by using state feedback nonlinear dynamic compensator and PI observer and show that the controller can stabilize globally and asymptotically a class of nonlinear systems with mismatched uncertainties. We also show that it is possible for a nonlinear system to use the output of PI observer in place of state variables in case that the nonlinear dynamic control law is used, similarly as in the linear system. The effectiveness of the proposed control law is demonstrated by a numerical simulation.

A Study on the Robust Design Using Kriging Surrogate Models (크리깅 근사모델을 이용한 강건설계에 관한 연구)

  • Lee, Kwon-Hee;Cho, Yong-Chul;Park, Gyung-Jin
    • Proceedings of the KSME Conference
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    • 2004.11a
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    • pp.870-875
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    • 2004
  • Current trend of design technologies shows engineers to objectify or automate the given decision-making process. The numerical optimization is an example of such technologies. However, in numerical optimization, the uncertainties are uncontrollable to efficiently objectify or automate the process. To better manage these uncertainties, Taguchi method, reliability-based optimization and robust optimization are being used. To obtain the target performance with the maximum robustness is the main functional requirement of a mechanical system. In this research, the robust design strategy is developed based on the DACE and the global optimization approaches. The DACE modeling, known as the one of Kriging interpolation, is introduced to obtain the surrogate approximation model of the system. The robustness is determined by the DACE model to reduce the real function calculations. The simulated annealing algorithm of global optimization methods is adopted to determine the global robust design of a surrogated model. The mathematical problems and the MEMS design problem are investigated to show the validity of the proposed method.

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Estimation of Output Derivative of The System with Parameters Uncertainty (매개변수 불확실성이 있는 시스템의 출력미분치 추정)

  • 김유승;양호석;이건복
    • Proceedings of the Korean Society of Machine Tool Engineers Conference
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    • 2002.04a
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    • pp.543-550
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    • 2002
  • This work is concerned with the estimation of output derivatives and their use for the design of robust controller for linear systems with systems uncertainties due to modeling errors and disturbance. It is assumed that a nominal transfer function model and Quantitative bounds for system uncertainties are known. The developed control schemes are shown to achieve regulation of the system output and ensures boundedness of the system states without imposing any structural conditions on system uncertainties and disturbances. Output derivative estimation is first conducted trough restructuring of the plant in a specific parameterization. They are utilized for constructing robust nonlinear high-gain feedback controller of a SMC(Sliding Mode Controller) Type. The performances of the developed controller are evaluated and shown to be effective and useful through simulation study.

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Control of Nonlinear Systems with Mismatched Uncertainties Using an Output Feedback (출력피드백에 의한 비매칭 불확실성이 있는 비선형계의 제어)

  • Park, Chang Yong;Seong, Yeol Wan;Gwon, O Gyu
    • Transactions of the Korean Society of Mechanical Engineers A
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    • v.21 no.8
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    • pp.1184-1184
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    • 1997
  • In this paper, we design output feedback nonlinear dynamic control law by using state feedback nonlinear dynamic compensator and PI observer and show that the controller can stabilized globally and asymptotically a class of nonlinear systems with mismatched uncertainties. We also show that it is possible for a nonlinear system to use the output of PI observer in place of state variables in case that the nonlinear dynamic control law is used, similarly as in the linear system. The effectiveness of the proposed control law is demonstrated by a numerical simulation.

Robust Servo Design and Application for Optical Disk Drive using Robust Control Theory: QFT vs. H_inf (광 디스크 서보 설계를 위한 강건 제어 이론의 적용 및 평가: QFT vs. $H_{\infty}$)

  • Choi, Jin-Young;Park, Tae-Wook;Yang, Hyun-Seok;Park, No-Cheol;Park, Young-Pil
    • Proceedings of the Korean Society for Noise and Vibration Engineering Conference
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    • 2005.05a
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    • pp.541-546
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    • 2005
  • In this paper, the various uncertainties, which are generated in working of an optical disk drive, are discussed in details and the robust servo design considering the uncertainties are discussed. First, the classification of the uncertainties and the modeling process including that are treated. Then, the robust servo designs using QFT and $H_{\infty}$ theory are performed. Finally, the designed servo loops realized by DSP are applied to the real system. From these experiments, we proved that the robust servo design using QFT and $H_{\infty}$ have a good performance and a good robust stability when it compared with the conventional servo loop.

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Intelligent PID Controller Design Using Root-Locus Analysis for Systems with Parameter Uncertainties (불확실한 파라미터를 갖는 시스템을 위한 근궤적법을 이용한 지능형 PID 제어기 설계)

  • Shin, Young-Joo
    • Journal of the Korean Society for Precision Engineering
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    • v.25 no.10
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    • pp.67-76
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    • 2008
  • In this research, a simple technique for designing PID controller, which guarantees robust stability for two-mass systems with parameter uncertainties as well as rigid-body behavior and zero steady-state error,is described. As well, such a PID controller is designed to mate two important frequencies, at which the given system is excited, very close so that an appropriate reference profile generated by using command shaping techniques can cover those two frequencies. Root-locus analysis. which shows traces of closed-loop poles for the given system, is used to design this PID controller. Finally, feedforward controller is added to improve tracking performance of the closed-loop system. Simulation for a system with a flexible mode and parameter uncertainties is executed to prove the feasibility of this technique.

Estimation of Output Derivative of The System with Disturbance (외란이 있는 시스템의 출력미분치 추정)

  • 김유승;양호석;이건복
    • Proceedings of the Korean Society of Precision Engineering Conference
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    • 2002.05a
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    • pp.253-258
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    • 2002
  • This work is concerned with the estimation of output derivatives and their use for the design of robust controller for linear systems with systems uncertainties due to modeling errors and disturbance. It is assumed that a nominal transfer function model and quantitative bounds for system uncertainties are known The developed control schemes are shown to achieve regulation of the system output and ensures boundedness of the system states without imposing any structural conditions on system uncertainties and disturbances. Output derivative estimation is first conducted trough restructuring of the plant in a specific parameterization. They are utilized for constructing robust nonlinear high-gain feedback controller of a SMC(Sliding Mode Controller)Type. The performances of the developed controller are evaluated and shown to be effective and useful through simulation study.

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Sliding Mode Control of the ABS with a Disturbance Observer (관측기를 가진 ABS 슬라이딩 모드 제어법)

  • Hwang Jin-Kwon;Oh Kyeung-Heub;Song Chul-Ki
    • Proceedings of the Korean Society of Precision Engineering Conference
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    • 2005.06a
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    • pp.523-530
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    • 2005
  • This paper addresses sliding mode control (SMC) of the anti-lock braking system (ABS) with a compensator of model uncertainties such as vehicle parameter variation, unmodeled dynamics, and external disturbances. A sliding mode controller (SMC) is designed with a nominal vehicle model to achieve a desired wheel slip ratio. A disturbance observer (DOB) is introduced to compensate the model uncertainties and is designed with a transfer function of a hydraulic brake dynamics. Through simulations on the model uncertainties, it is verified that the sliding mode control with the DOB can give the simulation results better than the sliding mode control without the DOB.

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