• Title/Summary/Keyword: discrete time-varying system

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Unknown Parameter Identifier Design of Discrete-Time DC Servo Motor Using Artificial Neural Networks

  • Bae, Dong-Seog;Lee, Jang-Myung
    • Transactions on Control, Automation and Systems Engineering
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    • v.2 no.3
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    • pp.207-213
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    • 2000
  • This paper introduces a high-performance speed control system based on artificial neural networks(ANN) to estimate unknown parameters of a DC servo motor. The goal of this research is to keep the rotor speed of the DC servo motor to follow an arbitrary selected trajectory. In detail, the aim is to obtain accurate trajectory control of the speed, specially when the motor and load parameters are unknown. By using an artificial neural network, we can acquire unknown nonlinear dynamics of the motor and the load. A trained neural network identifier combined with a reference model can be used to achieve the trajectory control. The performance of the identification and the control algorithm are evaluated through the simulation and experiment of nonlinear dynamics of the motor and the load using a typical DC servo motor model.

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Indirect Decentralized Repetitive Control for the Multiple Dynamic Subsystems

  • Lee, Soo-Cheol
    • Journal of Korean Institute of Industrial Engineers
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    • v.23 no.1
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    • pp.1-22
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    • 1997
  • Learning control refers to controllers that learn to improve their performance at executing a given task, based on experience performing this specific task. In a previous work, the authors presented a theory of indirect decentralized learning control based on use of indirect adaptive control concepts employing simultaneous identification and control. This paper extends these results to apply to the indirect repetitive control problem in which a periodic (i.e., repetitive) command is given to a control system. Decentralized indirect repetitive control algorithms are presented that have guaranteed convergence to zero tracking error under very general conditions. The original motivation of the repetitive control and learning control fields was learning in robots doing repetitive tasks such as on an assembly line. This paper starts with decentralized discrete time systems, and progresses to the robot application, modeling the robot as a time varying linear system in the neighborhood of the desired trajectory. Decentralized repetitive control is natural for this application because the feedback control for link rotations is normally implemented in a decentralized manner, treating each link as if it is independent of the other links.

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Implementation of Implicit Model Reference Adaptive Control System (내재성 기본모델을 사용한 적용제어 시스템의 구성)

  • 허욱열;고명삼
    • The Transactions of the Korean Institute of Electrical Engineers
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    • v.32 no.4
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    • pp.136-144
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    • 1983
  • In this paper, a new scheme of implicit MRAC is presented for single input single output discrete system. The MRAC can be applied to the nonminimum phase system, too. They have simple structure because the parameters of the controller are estimated directly by changing the plant output equation properly. In this scheme, the observation process is well seperated from the adaptation process, so the adaptation algorithm is derived from the exponentially weighted least square method which has fast convergence characteristics and can deal with the time varying plant. The consistency of the estimated parameter is proved. And it is also proved the whole system has the stabilizing property. The effectiveness of the algorithm and the structure is illustrated by the computer simulation of the model reference adaptive control for a third order plant. It is proposed how to select the selectable parameters in the adaptive control system from the simulation results.

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Model Reference Adaptive Control Using $\delta$-Operator of Hydraulic Servosystem (유압 서보계의 $\delta$연산자를 이용한 모델기준형적응제어)

  • Kim, Ki-Hong;Yoon, Il-Ro;Yum, Man-Oh
    • Journal of the Korean Society for Precision Engineering
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    • v.17 no.11
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    • pp.151-157
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    • 2000
  • The MRAC theory has proved to be one of the most popular algorithms in the field of adaptive control, particularly for practical application to devices such as an hydraulic servosystem of which parameters are unknown or varying during operation. For small sampling period, the discrete time system becomes a nonminimal phase system. The $\delta$-MRAC was introduced to obtain the control performance of nonminimal phase system, because the z-MRAC can not control the plant for small sampling period. In this paper, $\delta$-MRAC is applied to the control of an hydraulic servosystem which is composed of servovalve, hydraulic cylinder and inertia load.

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A STUDY ON THE TIME-VARYING POWER SPECTRUM ESTIMATION ALGORITHM USING TIME-FREQUENCY REPRESENTATION (시주파수 표현에 의한 시변파워스펙트럼 추정 알고리즘에 관한 연구)

  • Lee, Jeong-Whan;Lee, Joon-Young;Lee, Dong-Joon;Kim, Han-Soo;Jeon, Woo-Chul;Lee, Myoung-Ho
    • Proceedings of the KIEE Conference
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    • 1999.07b
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    • pp.991-993
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    • 1999
  • This study proposed a new algorithm to assess autonomic function activity using Time-Frequency Representation(TFR). TFR is a way of describing the time-valiant energy of a signal. A discrete Wigner representation that is capable of filtering out any cross terms occuring in the Wigner-Ville Distribution(WVD) is used for time-variant energy distribution of heart rate variability(HRV) signals. And the marginal condition are evaluated to estimate power spectrum of HRV signals. The proposed algorithm showed that estimated power spectrum of HRV signals well describe the autonomic nerve system function and also showed the dynamics of autonomic nervous system response.

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A Heuristic Method for Ordering in the Dynamic Inventory System with Quantity Discounts (가격할인이 있는 단일품목 동적 재고모델의 발주정책을 위한 발견적 기법)

  • Lee, Yeong-Jo;Gang, Maeng-Gyu
    • Journal of Korean Institute of Industrial Engineers
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    • v.12 no.2
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    • pp.77-87
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    • 1986
  • This paper presents a heuristic method for solving the discrete-time ordering problem with quantity discounts and deterministic, time-varying demand. This algorithm utilizes a variation of the incremental cost approach(ICA) to determine a near optimal solution. The ICA is the method which reduces the total cost with reduction of the number of orders by one. In order to reduce the number of orders, if the incremental cost for one of the periods is negative, the demand of the period should be purchased in its immediate preceding period. In order to test the performance of this algorithm, an experiment is conducted that involves a large number of test problems covering a wide variety of situations. The result of the experiment shows that the proposed algorithm has 80.5% better solutions than the adjusted part period algorithm(APPA), which is known to be the best heuristic method.

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Stability Analysis of Kalman Filter by Orthonormalized Compressed Measurement

  • Hyung Keun Lee;Jang Gyu Lee
    • KIEE International Transaction on Systems and Control
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    • v.2D no.2
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    • pp.97-107
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    • 2002
  • In this paper, we propose the concept of orthonormalized compressed measurement for the stability analysis of discrete linear time-varying Kalman filters. Unlike previous studies that deal with the homogeneous portion of Kalman filters, the proposed Lyapunov method directly deals with the stochastically-driven system. The orthonorrmalized compressed measurement provides information on the a priori state estimate of the Kalman filter at the k-th step that is propagated from the a posteriori state estimate at the previous block of time. Since the complex multiple-step propagations of a candidate Lyapunov function with process and measurement noises can be simplified to a one-step Lyapunov propagation by the orthonormalized compressed measurement, a stochastic radius of attraction can be derived that would be impractically difficult to obtain by the conventional multiple-step Lyapunov method.

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Toroidal Switched Reluctance Motor Drive Systems Using Indirect Rotor Position Sensor (간접식 센서에 의한 토로이달 스위치드 릴럭턴스 모터의 회전자 위치검출 및 구동)

  • Yang H. Y.;Shin D. S.;Lim Y. C.
    • Proceedings of the KIPE Conference
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    • 2004.07a
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    • pp.201-205
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    • 2004
  • A method for driving and position sensing of TSRM(Toroidal Switched Reluctance Motor) using the search coil is presented in this paper. Position information of the rotor is essential for SRM drives. The rotor position sensor such as an opto-interrupter or high performance encoder is generally used for the estimation of rotor position. However, these discrete position sensors not only add complexity and cost to the system but also tend to reduce the reliability of the drive system. In order to solve these problems, in the proposed method, rotor position detection is achieved using the voltage waveforms induced by the time varying flux linkage in the search coils, and then the appropriate phases are excited to drive the SRM. But the search coil EMF is generated only when the motor rotates. Therefore the rotor position sensing method at standstill is also suggested.

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A study on Indirect Adaptive Decentralized Learning Control of the Vertical Multiple Dynamic System

  • Lee, Soo-Cheol;Park, Seok-Sun;Lee, Jeh-Won
    • International Journal of Precision Engineering and Manufacturing
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    • v.7 no.1
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    • pp.62-66
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    • 2006
  • The learning control develops controllers that learn to improve their performance at executing a given task, based on experience performing this specific task. In a previous work, the authors presented an iterative precision of linear decentralized learning control based on p-integrated learning method for the vertical dynamic multiple systems. This paper develops an indirect decentralized learning control based on adaptive control method. The original motivation of the learning control field was learning in robots doing repetitive tasks such as an assembly line works. This paper starts with decentralized discrete time systems, and progresses to the robot application, modeling the robot as a time varying linear system in the neighborhood of the nominal trajectory, and using the usual robot controllers that are decentralized, treating each link as if it is independent of any coupling with other links. Some techniques will show up in the numerical simulation for vertical dynamic robot. The methods of learning system are shown for the iterative precision of each link.

A Study on Indirect Adaptive Decentralized Learning Control of the Vertical Multiple Dynamic System (수직다물체시스템의 간접적응형 분산학습제어에 관한 연구)

  • Lee Soo Cheol;Park Seok Sun;Lee Jae Won
    • Journal of the Korean Society for Precision Engineering
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    • v.22 no.4
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    • pp.92-98
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    • 2005
  • The learning control develops controllers that learn to improve their performance at executing a given task, based on experience performing this specific task. In a previous work, the authors presented an iterative precision of linear decentralized learning control based on p-integrated learning method for the vertical dynamic multiple systems. This paper develops an indirect decentralized teaming control based on adaptive control method. The original motivation of the teaming control field was loaming in robots doing repetitive tasks such as on an assembly line. This paper starts with decentralized discrete time systems, and progresses to the robot application, modeling the robot as a time varying linear system in the neighborhood of the nominal trajectory, and using the usual robot controllers that are decentralized, treating each link as if it is independent of any coupling with other links. Some techniques will show up in the numerical simulation for vertical dynamic robot. The methods of learning system are shown up for the iterative precision of each link.