• Title/Summary/Keyword: Recursive least squares method

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A study on the design of adaptive generalized predictive control (적응 일반형 예측제어 설계에 관한 연구)

  • 김창회;이상정
    • 제어로봇시스템학회:학술대회논문집
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    • 1992.10a
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    • pp.176-181
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    • 1992
  • In this paper, an adaptive generalized predictive control(GPC) algorithm which minimizes a N-stage cost function is proposed. The resulting controller is based on GPC algorithm and can be used in unknown plant parameters as the parameters of one step ahead predictor are estimated by recursive least squares method. The estimated parameters are extended to G,P, and F amtrix which contain the parameters of N step ahead predictors. And the minimization of cost function assuming no constraints on future controls results in the projected control increment vector. Hence this adaptive GPC algorithm can be used for either unknown system or varing system parameters, and it is also shown through simulations that the algorithm is robust to the variation of system parameters. This adaptive GPC scheme is shown to have the same stability properties as the deterministic GPC, and requires small amount of calculation compared to other adaptive algorithms which minimize N-stage cost function. Especially, in case that the maximum output horizon is 1, the proposed algorithm can be applicable to direct adaptive GPC.

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Adaptive Control of A One-Link Flexible Robot Manipulator (유연한 로보트 매니퓰레이터의 적응제어)

  • 박정일;박종국
    • Journal of the Korean Institute of Telematics and Electronics B
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    • v.30B no.5
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    • pp.52-61
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    • 1993
  • This paper deals with adaptive control method of a robot manipulator with one-flexible link. ARMA model is used as a prediction and estimation model, and adaptive control scheme consists of parameter estimation part and adaptive controller. Parameter estimation part estimates ARMA model's coefficients by using recursive least-squares(RLS) algorithm and generates the predicted output. Variable forgetting factor (VFF) is introduced to achieve an efficient estimation, and adaptive controller consists of reference model, error dynamics model and minimum prediction error controller. An optimal input is obtained by minimizing input torque, it's successive input change and the error between the predicted output and the reference output.

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DESIGN OF ADAPTIVE CONTROLLER OF DC SERVO MOTOR (직류전동기의 적응 제어기 설계에 관한 연구)

  • Chang, S.G.;Won, J.S.
    • Proceedings of the KIEE Conference
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    • 1987.11a
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    • pp.25-28
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    • 1987
  • Design procedure of adaptive controller with variable load condition is present and applied to velocity control of small, permanent magnet DC servo motor. The state feedback control scheme is adopted and Recursive Least Squares algorithm is used for parameter estimation. In order to reduce the time consuming. In the procedure of adaptation-gain tuning of state feedback controller, approximate curve fitting technique is applied to the relations between load condition and poles of the system, load condition and feedback gains. With this method, fast adaptation can be accomplished. It is shown that this procedure can be applied not only to variable load condition but also to variation of other system constants, for example variation of resistance and inductance etc.. Simulation results is present for both cases - variable inertia load, variable motor resistance to verify performance improvements. This design procedure produces an adaptive con troller which is feasible for implementation with microprocessor by reducing calculation time.

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Modeling and Parameter Estimation of Linear Motor Positioning for Precision Positioning Control (정밀위치 제어를 위한 리니어모터 위치결정기구의 모형화 및 매개변수 추정)

  • Jung, I.K.;Yang, S.S.
    • Proceedings of the KIEE Conference
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    • 1997.07b
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    • pp.409-413
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    • 1997
  • In linear motor positioning systems, nonlinearitys such as friction and cogging exist. These inner system with compliance may cause the steady state error and oscillation. So it is necessary to consider these elements for precision positioning control. In this paper, a nonlinear model of a linear motor positioning system including the friction, cogging and compliance is proposed. The parameters of the proposed model are identified by recursive least-squares method. The validity of the proposed model is confirmed by computer simulation.

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Identification of guideway errors in the end milling machine using geometric adaptive control algorithm (기하학적 적응제어에 의한 엔드밀링머시인의 안내면 오차 규명)

  • 정성종;이종원
    • Transactions of the Korean Society of Mechanical Engineers
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    • v.12 no.1
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    • pp.163-172
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    • 1988
  • An off-line Geometric Adaptive Control Scheme is applied to the milling machine to identify its guideway errors. In the milling process, the workpiece fixed on the bed travels along the guideway while the tool and spindle system is fixed onto the machine. The scheme is based on the exponential smoothing of post-process measurements of relative machining errors due to the tool, workpiece and bed deflections. The guideway error identification system consists of a gap sensor, a, not necessarily accurate, straightedge, and the numerical control unit. Without a priori knowledge of the variations of the cutting parameters, the time-varying parameters are also estimated by an exponentially weighted recursive least squares method. Experimental results show that the guideway error is well identified within the range of RMS values of geometric error changes between machining passes disregarding the machining conditions.

Mass Estimation of a Permanent Magnet Linear Synchronous Motor Applied at the Vertical Axis (수직축 선형 영구자석 동기전동기의 질량 추정)

  • Lee, Jin-Woo;Ji, Jun-Keun;Mok, Hyung-Soo
    • Proceedings of the KIPE Conference
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    • 2008.06a
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    • pp.301-303
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    • 2008
  • Tuning of the speed controller in the linear servo applications needs the accurate information of a mover mass including a load mass. Therefore this paper proposes the mass estimation method of a permanent magnet linear synchronous motor(PMLSM) applied at the vertical axis by using the recursive Least-Squares estimation algorithm. First, this paper derives the deterministic autoregressive moving average(DARMA) model of the mechanical dynamic system used at the vertical axis. Results obtained by the Matlab/Simulink simulation show that the mass of a PMLSM applied at the vertical axis can be accurately estimated both at no-load and at load.

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Design of the Temperature Controller for a Dynamically Tuned Gyroscope Using Parameter Estimation Methods (계수 추정 기법을 이용한 동조자이로스코프 온도 제어기의 설계)

  • Song, Jin-Woo;Lee, Jang-Gyu;Kang, Tae-Sam;Kim, Jin-Won
    • Proceedings of the KIEE Conference
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    • 1996.07b
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    • pp.1146-1148
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    • 1996
  • In this paper, uncertain parameters of the heat transfer model of a Dynamically Tuned Gyroscope (DTG) are estimated by the Recursive Least Squares (RLS) method. Also, using this model, a temperature controller for a DTG is designed. As the temperature controller, a PI controller is used. It is presented that a controller can be easily designed when the heat transfer model of a DTG is used. By simulations and experiments, it is shown that the estimated heat transfer model is appropriate and the desired performance of the temperature controller is satisfied.

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Design of Adaptive GPC wi th Feedforward for Steam Generator (증기발생기 수위제어를 위한 적응일반형예측제어 설계)

  • Kim, Chang-Hwoi
    • Proceedings of the KIEE Conference
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    • 1993.07a
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    • pp.261-264
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    • 1993
  • This paper proposes an adaptive generalized predictive control with feedforward algorithm for steam generator level control in nuclear power plant. The proposed algorithm is shown that the parameters of N-step ahead predictors can be obtained using the parameters of one-step ahead predictor which is derived from plant model with feedforward. Using this property the proposed scheme is an adaptive algorithm which consists of GPC method and the recursive least squares algorithm for identifying the parameters of one-step ahead predictor. Also, computer simulations are performed to evaluate the performance of proposed algorithm using a mathematical model of PWR steam generator Simulation results show good performances for load variation. And the proposed algorithm shows better responses than PI controller does.

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Predictive Control for a Fin Stabilizer

  • Yoon, Hyeon-Kyu;Lee, Gyeong-Joong;Fang, Tae-Hyun
    • Journal of Navigation and Port Research
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    • v.31 no.7
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    • pp.597-603
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    • 2007
  • A predictive controller can solve a control problem related to a disturbance-dominant system such as roll stabilization of a ship in waves. In this paper, a predictive controller is developed for a fin stabilizer. Future wave-induced moment is modeled simply using two typical regular wave components for which six parameters are identified by the recursive Fourier transform and the least squares method using the past time series of the roll motion. After predicting the future wave-induced moment, optimal control theory is applied to discover the most effective command fin angle that will stabilize the roll motion. In the results, wave prediction performance is investigated, and the effectiveness of the predictive controller is compared to a conventional PD controller.

A Study on the DC to DC Converter to Improve the Performance of Power LED System (파워 LED 시스템 성능개선을 위한 DC/DC 컨버터에 관한 연구)

  • Kim, Young Tae;Kim, Sei Yoon
    • Journal of Drive and Control
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    • v.19 no.4
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    • pp.85-90
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    • 2022
  • In this paper, a DC converter to improve the performance of Power LED system is discussed. The mathematical model of PWM converter power stage using 3-Terminal PWM cell is introduced for power LED system. A controller for DC converter system is used as a self-tunning regulator with a recursive least-squares algorithm. Minimum variance control method is used as a control law. Experiment results verified that proposed control system could improve the performance of Power LED system.