• Title/Summary/Keyword: discrete-time control design

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Discrete-Time Controller Design using Identification of Feedback System in Frequency Domain (주파수역 피드백 시스템 인식을 이용한 이산시간 제어기 설계)

  • Jung, Yu-Chul;Shim, Young-Bok;Lee, Gun-Bok
    • Proceedings of the KSME Conference
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    • 2001.06b
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    • pp.99-104
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    • 2001
  • Discrete-time controller design is proposed using feedback system identification in frequency domain. System Stability imposed by a new controller is checked in the function of a conventional closed-loop system, instead of a poorly modeled plant due to non-linearity and disturbance as well as unstable components, etc. The stability of the system is evaluated in view of Popov criterion. All the equations are formulated in the framework of the discrete-time system. Simulation results are shown on the plant with input saturation components, DC disturbance and a pure integration.

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Digital Speed Regulator System Design for a Permanent Magnet Synchronous Motor

  • Choi, Han-Ho;Jung, Jin-Woo;Kim, Tae-Heoung
    • Journal of Electrical Engineering and Technology
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    • v.7 no.6
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    • pp.911-917
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    • 2012
  • In this paper, a digital speed regulator system design method is developed for a permanent magnet synchronous motor (PMSM). Firstly, an accurate approximate discrete-time model is proposed for a PMSM considering its inherent nonlinearities. Based on the discrete-time model, a digital acceleration observer as well as a digital speed regulator is designed. The exponential stability of the augmented control system is analyzed. The proposed digital speed regulator system is implemented by using a TMS320F28335 floating point DSP. Simulation and experimental results are given to verify the effectiveness of the proposed method.

Design of an iterative learning controller for a class of linear dynamic systems with time-delay (시간 지연이 있는 선형 시스템에 대한 반복 학습 제어기의 설계)

  • Park, Kwang-Hyun;Bien, Zeung-Nam;Hwang, Dong-Hwan
    • Journal of Institute of Control, Robotics and Systems
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    • v.4 no.3
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    • pp.295-300
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    • 1998
  • In this paper, we point out the possibility of the divergence of control input caused by the estimation error of delay-time when general iterative learning algorithms are applied to a class of linear dynamic systems with time-delay in which delay-time is not exactly measurable, and then propose a new type of iterative learning algorithm in order to solve this problem. To resolve the uncertainty of delay-time, we propose an algorithm using holding mechanism which has been used in digital control system and/or discrete-time control system. The control input is held as constant value during the time interval of which size is that of the delay-time uncertainty. The output of the system tracks a given desired trajectory at discrete points which are spaced auording to the size of uncertainty of delay-time with the robust property for estimation error of delay-time. Several numerical examples are given to illustrate the effeciency of the proposed algorithm.

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ℋ_/ℋ Fault Detection and Isolation for Discrete-Time Delayed Systems (이산시간 상태지연 시스템을 위한 ℋ_/ℋ 고장검출 및 분리)

  • Jee, Sung-Chul;Lee, Ho-Jae
    • Journal of Institute of Control, Robotics and Systems
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    • v.17 no.10
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    • pp.960-966
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    • 2011
  • In this paper, an $\mathfrak{H}$_/$\mathfrak{H}_{\infty}$ fault detection and isolation (FDI) observer design problem is investigated for discrete-time delayed systems. To that end, a bank consisting of the sensor's number of observers is introduced. Each residual should be sensitive to a certain partial group of faults, but robust against the disturbance as far as possible. We formulate this multiobjective FDI problem as $\mathfrak{H}$_/$\mathfrak{H}_{\infty}$ observers design problem. Sufficient design condition is expressed as iterative linear matrix inequalities. The fault is then detected and isolated by evaluating the residuals through an FDI decision logic. A computer simulation is provided for verification of the proposed technique.

A DESIGN OF QUASI TIME-OPTIMAL FUZZY CONTROL SYSTEMS

  • Nikolai V. Rostov;Seog Chae;Oh, Young-Seok;Keum, Kyo-Un
    • Journal of the Korean Institute of Intelligent Systems
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    • v.12 no.5
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    • pp.473-480
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    • 2002
  • The problems of quasi time-optimal digital control are discussed. A new design methodology of quasi time-optimal fuzzy controllers based on approximation of prototype discrete controller is suggested. Four kinds of practicable structures for fuzzy controllers are considered. Examples of computer design of quasi time-optimal fuzzy control systems are given.

Exponential Stability of Predictor Feedback for Discrete-Time Linear Systems with Input Delays (입력 지연을 갖는 이산시간 선형 시스템을 위한 예측기 피드백의 지수적 안정성)

  • Choi, Joon-Young
    • Journal of Institute of Control, Robotics and Systems
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    • v.19 no.7
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    • pp.583-586
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    • 2013
  • We consider discrete-time LTI (Linear Time-Invariant) systems with constant input delays. The input delay is modeled by a first-order PdE (Partial difference Equation) and a backstepping transformation is employed to design a predictor feedback controller. The backstepping approach results in the construction of an explicit Lyapunov function, with which we prove the exponential stability of the closed-loop system formed by the predictor feedback. The numerical example demonstrates the design of the predictor feedback controller, and illustrates the validity of the exponential stability.

Design of Improved Discrete Variable Controller for Induction motor Position control

  • Jeon, Hee-Jong;Jeong, Eull-Gi;Kim, Beung-Jin;Kim, Sang-Woo;Lim, Byung-Kuk
    • Proceedings of the KIPE Conference
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    • 1998.10a
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    • pp.404-409
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    • 1998
  • In this paper, the discrete variable structure controller (DVSC) is proposed for vector controlled induction motor position control. The variable structure control (VSC) which guarantees accuracy and robustness in nonlinear control system is developed in discrete time domain for applying to real servo system. Furthermore, the load torque observer is introduced to reduce chattering problem. The computer simulation results are presented to verify the proposed control scheme.

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Application to the design of reduced-order robust MPC and MIMO identification

  • Lee, Kwang-Soon;Kim, Sang-Hoon
    • 제어로봇시스템학회:학술대회논문집
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    • 1997.10a
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    • pp.313-316
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    • 1997
  • Two different issues, design of reduced-order robust model predictive control and input signal design for identification of a MIMO system, are addressed and design techniques based on singular value decomposition(SVD) of the pulse response circulant matrix(PRCM) are proposed. For this, we investigate the properties of the PRCM, which is a periodic approximation of a linear discrete-time system, and show its SVD represents the directional as well as the frequency decomposition of the system. Usefulness of the PRCM and effectiveness of the proposed design techniques are demonstrated through numerical examples.

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Model Reference Adaptive Control Using Non-Euclidean Gradient Descent

  • Lee, Sang-Heon;Robert Mahony;Kim, Il-Soo
    • Transactions on Control, Automation and Systems Engineering
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    • v.4 no.4
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    • pp.330-340
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    • 2002
  • In this Paper. a non-linear approach to a design of model reference adaptive control is presented. The approach is demonstrated by a case study of a simple single-pole and no zero, linear, discrete-time plant. The essence of the idea is to generate a full non-linear model of the plant dynamics and the parameter adaptation dynamics as a gradient descent algorithm with respect to a Riemannian metric. It is shown how a Riemannian metric can be chosen so that the modelled plant dynamics do in fact match the true plant dynamics. The performance of the proposed scheme is compared to a traditional model reference adaptive control scheme using the classical sensitivity derivatives (Euclidean gradients) for the descent algorithm.

Small Signal Modeling of Current Mode Control (전류모드 제어의 소신호 모델링)

  • 정영석;강정일;최현칠;윤명중
    • The Transactions of the Korean Institute of Power Electronics
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    • v.3 no.4
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    • pp.338-345
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    • 1998
  • The mathematical interpretation of a practical sampler which is useful to obtain the small signal models for the peak and average current mode controls is proposed. Due to the difficulties in applying the Shannons sampling theorem to the analysis of sampling effects embedded in the current mode control, several different approaches have been reported. However, these approaches require the information of the inductor current in a discrete expression, which restricts the application of the reported method only to the peak current mode control. In this paper, the mathematical expressions of sampling effects on a current loop which can directly apply the Shannons sampling theorem are newly proposed, and applied to the modeling of the peak current mode control. By the newly derived models of a practial smapler, the models in a discrete time domain and a continuous time domain are obtained. It is expected that the derived models are useful for the control loop design of power supplies. The effectiveness of the derived models are verified through the simulation and experimental results.

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