• Title/Summary/Keyword: iterative learning control

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An iterative learning and adaptive control scheme for a class of uncertain systems

  • Kuc, Tae-Yong;Lee, Jin-S.
    • 제어로봇시스템학회:학술대회논문집
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    • 1990.10b
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    • pp.963-968
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    • 1990
  • An iterative learning control scheme for tracking control of a class of uncertain nonlinear systems is presented. By introducing a model reference adaptive controller in the learning control structure, it is possible to achieve zero tracking of unknown system even when the upperbound of uncertainty in system dynamics is not known apriori. The adaptive controller pull the state of the system to the state of reference model via control gain adaptation at each iteration, while the learning controller attracts the model state to the desired one by synthesizing a suitable control input along with iteration numbers. In the controller role transition from the adaptive to the learning controller takes place in gradually as learning proceeds. Another feature of this control scheme is that robustness to bounded input disturbances is guaranteed by the linear controller in the feedback loop of the learning control scheme. In addition, since the proposed controller does not require any knowledge of the dynamic parameters of the system, it is flexible under uncertain environments. With these facts, computational easiness makes the learning scheme more feasible. Computer simulation results for the dynamic control of a two-axis robot manipulator shows a good performance of the scheme in relatively high speed operation of trajectory tracking.

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Identification and Multivariable Iterative Learning Control of an RTP Process for Maximum Uniformity of Wafer Temperature

  • Cho, Moon-Ki;Lee, Yong-Hee;Joo, Sang-Rae;Lee, Kwang-S.
    • 제어로봇시스템학회:학술대회논문집
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    • 2003.10a
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    • pp.2606-2611
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    • 2003
  • Comprehensive study on the control system design for a RTP process has been conducted. The purpose of the control system is to maintain maximum temperature uniformity across the silicon wafer achieving precise tracking for various reference trajectories. The study has been carried out in two stages: thermal balance modeling on the basis of a semi-empirical radiation model, and optimal iterative learning controller design on the basis of a linear state space model. First, we found through steady state radiation modeling that the fourth power of wafer temperatures, lamp powers, and the fourth power of chamber wall temperature are related by an emissivity-independent linear equation. Next, for control of the MIMO system, a state space modeland LQG-based two-stage batch control technique was derived and employed to reduce the heavy computational demand in the original two-stage batch control technique. By accommodating the first result, a linear state space model for the controller design was identified between the lamp powers and the fourth power of wafer temperatures as inputs and outputs, respectively. The control system was applied to an experimental RTP equipment. As a consequence, great uniformity improvement could be attained over the entire time horizon compared to the original multi-loop PID control. In addition, controller implementation was standardized and facilitated by completely eliminating the tedious and lengthy control tuning trial.

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A New Solution for Stochastic Optimal Power Flow: Combining Limit Relaxation with Iterative Learning Control

  • Gong, Jinxia;Xie, Da;Jiang, Chuanwen;Zhang, Yanchi
    • Journal of Electrical Engineering and Technology
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    • v.9 no.1
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    • pp.80-89
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    • 2014
  • A stochastic optimal power flow (S-OPF) model considering uncertainties of load and wind power is developed based on chance constrained programming (CCP). The difficulties in solving the model are the nonlinearity and probabilistic constraints. In this paper, a limit relaxation approach and an iterative learning control (ILC) method are implemented to solve the S-OPF model indirectly. The limit relaxation approach narrows the solution space by introducing regulatory factors, according to the relationship between the constraint equations and the optimization variables. The regulatory factors are designed by ILC method to ensure the optimality of final solution under a predefined confidence level. The optimization algorithm for S-OPF is completed based on the combination of limit relaxation and ILC and tested on the IEEE 14-bus system.

An Iterative Learning Control for the Precision Improvement of a CNC Machining center (CNC 머시닝센터의 정밀도 향상을 위한 반복학습제어)

  • 최종호;유경열;장태정
    • Transactions of the Korean Society of Mechanical Engineers
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    • v.19 no.1
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    • pp.38-44
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    • 1995
  • We made a counter to measure the output of motor encoders for the motion error analysis of a CNC machining center, and have measured the dynamic characteristics and the position errors experimentally. Especially, we measured the radius errors for different feedrates and different radii when the CNC machining center performed a circular interpolation. We have also used an iterative learning method to reduce the radius errors and stick motion errors generated by the CNC machining center performing a circular interpolation. The results show that the proposed learning scheme can reduce the radius error and stick motion error significantly. The reduction of errors becomes more pronounced for higher feedrate and smaller radius.

Adaptive fuzzy learning control for a class of second order nonlinear dynamic systems

  • Park, B.H.;Lee, Jin S.
    • 제어로봇시스템학회:학술대회논문집
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    • 1996.10a
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    • pp.103-106
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    • 1996
  • This paper presents an iterative fuzzy learning control scheme which is applicable to a broad class of nonlinear systems. The control scheme achieves system stability and boundedness by using the linear feedback plus adaptive fuzzy controller and achieves precise tracking by using the iterative learning rules. The switching mode control unit is added to the adaptive fuzzy controller in order to compensate for the error that has been inevitably introduced from the fuzzy approximation of the nonlinear part. It also obviates any supervisory control action in the adaptive fuzzy controller which normally requires high gain signal. The learning control algorithm obviates any output derivative terms which are vulnerable to noise.

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Control of an Electro-hydraulic Servosystem Using Neural Network with 2-Dimensional Iterative Learning Rule (2차원 반복 학습 신경망을 이용한 전기.유압 서보시스템의 제어)

  • Kwak D.H.;Lee J.K.
    • Transactions of The Korea Fluid Power Systems Society
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    • v.1 no.1
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    • pp.1-9
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    • 2004
  • This paper addresses an approximation and tracking control of recurrent neural networks(RNN) using two-dimensional iterative learning algorithm for an electro-hydraulic servo system. And two dimensional learning rule is driven in the discrete system which consists of nonlinear output function and linear input. In order to control the trajectory of position, two RNN's with the same network architecture were used. Simulation results show that two RNN's using 2-D learning algorithm are able to approximate the plant output and desired trajectory to a very high degree of a accuracy respectively and the control algorithm using two same RNN was very effective to control trajectory tracking of electro-hydraulic servo system.

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2nd-order PD-type Learning Control Algorithm

  • Kim, Yong-Tae;Zeungnam Bien
    • Journal of the Korean Institute of Intelligent Systems
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    • v.14 no.2
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    • pp.247-252
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    • 2004
  • In this paper are proposed 2nd-order PD-type iterative learning control algorithms for linear continuous-time system and linear discrete-time system. In contrast to conventional methods, the proposed learning algorithms are constructed based on both time-domain performance and iteration-domain performance. The convergence of the proposed learning algorithms is proved. Also, it is shown that the proposed method has robustness in the presence of external disturbances and the convergence accuracy can be improved. A numerical example is provided to show the effectiveness of the proposed algorithms.

Iterative learning control for a class of discrete-time nonlinear systems (이산시간 비선형 시스템에 대한 반복학습제어)

  • 안현식;최종호;김도현
    • 제어로봇시스템학회:학술대회논문집
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    • 1993.10a
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    • pp.836-841
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    • 1993
  • For a class of discrete-time nonlinear systems, an iterative learning control method is proposed and a sufficient condition is derived for the convergence of the output error. The proposed method is shown to be less sensitive to modelling errors and the uniform boundedness of the output error is guaranteed even in the presence of initial state errors. It is illustrated by simulations that the actual output converges to a desired output within the tolerance bound and convergence performance is improved by the presented method.

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Iterative Learning Control Algorithm for a class of Nonlinear System with External Inputs (외부입력이 존재하는 비선형 시스템의 반복학습제어 알고리즘에 관한 연구)

  • Jang, H.S.;Lim, M.S.;Lim, J.H.
    • Proceedings of the KIEE Conference
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    • 1996.07b
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    • pp.1278-1280
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    • 1996
  • In this paper, an Iterative learning control algorithm is presented for a class of non linear system which have external inputs or disturbances. The acceleration of error signal is used to update the next control signal. It is shown that the feedback gain can be deter.ined so that the overall errors are convergent.

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Extended Direct Learning Control for Single-input Single-output Nonlinear Systems (단일 입출력 비선형 시스템에 대한 확장된 직접학습제어)

  • Park, Joong-Min;Ahn, Hyun-Sik;Kim, Do-Hyun
    • Journal of the Institute of Electronics Engineers of Korea SC
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    • v.39 no.5
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    • pp.1-7
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    • 2002
  • In this paper, an extended type of a direct learning control(DLC) method is proposed for the effective control of systems which perform a given task repetitively. DLC methods have been suggested to overcome the defects of iterative learning control, the learning process should be resumed from the beginning even if a slight change occurs in the desired output pattern. If a given desired output trajectory is "proportional" to the output trajectories which are learned previously, we can obtain the desired control input directly without the iterative learning process by using the DLC. First, most existing DLC methods are shown to be applicable only to single-input single-output systems with the relative degree one and then, an extended type of DLC is proposed for a class of nonlinear systems having the relative degree more than or equal to one by using the known relative degree of a nonlinear system. By the simulation results for the arbitrary nonlinear system with the relative degree more than one, the validity and the performance of the proposed DLC method are examined.