• Title/Summary/Keyword: Linear Discrete-Time Systems

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Position Control of Linear Actuator with Time Delay Using the Smith Predictor

  • Kang, Seung-Won;Park, Gi-sang
    • 제어로봇시스템학회:학술대회논문집
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    • 2001.10a
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    • pp.68.1-68
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    • 2001
  • This paper discusses tracking position control of linear actuator that has a time delay. The time delay happens when the process reads the sensor data and sends the control input to the plant located at a remote site in distributed control system. In this thesis, the time delay between the linear actuator and the discrete PID controller has constant value due to buffer device so the time delay can be modeled by Pade approximation but the large position error of the linear actuator is generated by the time delay. Therefore, the Smith predictor is used for tracking position control of the linear actuator with the time delay in order to minimize the effect of the time delay. The experimental and simulation results show that the ...

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Intelligent Controller for Networked Control Systems with Time-delay (시간지연을 갖는 네트워크 제어 시스템의 지능형 제어기 설계)

  • Bae, Gi-Sun;Joo, Young-Hoon
    • Journal of Institute of Control, Robotics and Systems
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    • v.17 no.2
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    • pp.139-144
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    • 2011
  • We consider the stabilization problem for a class of networked control systems with random delays in the discrete-time domain. The controller-to-actuator and sensor-to-controller time-delays are modeled as two Markov chains, and the resulting closed-loop systems are Markovian jump nonlinear systems with two modes. The T-S (Takagi-Sugeno) fuzzy model is employed to represent a nonlinear system with Markovian jump parameters. The aim is to design a fuzzy controller such that the closed-loop Markovian jump fuzzy system is stochastically stable. The necessary and sufficient conditions on the existence of stabilizing fuzzy controllers are established in terms of LMIs (Linear Matrix Inequalities). It is shown that fuzzy controller gains are mode-dependent. Finally, a simulation example is presented to illustrate the effectiveness of the proposed design method.

Optimal Output-feedback Control for Discrete-time Linear System with Time-delayed Output (이산시간 선형 시스템의 출력 시간지연을 이용한 최적 출력제어)

  • Jung, Chul-Hwan;Ham, Chang-Shik
    • Proceedings of the KIEE Conference
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    • 1988.07a
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    • pp.909-912
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    • 1988
  • This paper proposed the new control law which is defined by instantaneous output and time delayed output. To analyze the system with time delayed output, the way which transforms output time delayed systems into instantaneous output systems is presented. The output responses were more improved by the new control law then that of the instantaneous output control law. The algorithm for simulation and a numerical example are presented.

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Design of the Robust Controller for the Discrete-Time Nonlinear System with Time-Delay Via Fuzzy Approach (퍼지 기법을 이용한 시간 지연을 가지는 이산시간 비선형 시스템에 대한 강인 제어기 설계)

  • Kim, Taek-Ryong;Park, Jin-Bae;Joo, Young-Hoon
    • Proceedings of the KIEE Conference
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    • 2005.07d
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    • pp.2723-2725
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    • 2005
  • In this paper, a robust $H{\infty}$ stabilization problem to a uncertain discrete-time nonlinear systems with time-delay via fuzzy static output feedback is investigated. The Takagi-Sugeno (T-S) fuzzy model is employed to represent an uncertain nonlinear systems with time-delayed state. Then parallel distributed compensation technique is used for designing of the robust fuzzy controller. Using a single Lyapunov function, the globally asymptotic stability and disturbance attenuation of the closed-loop fuzzy control system are discussed. Sufficient conditions for the existence of robust $H{\infty}$ controllers are given in terms of linear matrix inequalities via similarity transform and congruence transform technique.

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Online Fuzzy Modelling of Nonlinear Systems Using a Genetic Algorithm (유전알고리즘을 이용한 비선형 시스템의 온라인 퍼지 모델링)

  • 이현식;오정환;신위재;김종화;진강규
    • Journal of the Korean Institute of Intelligent Systems
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    • v.8 no.3
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    • pp.80-87
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    • 1998
  • This paper presents and online scheme for fuzzy modelling of nonlinear systems, based on the model adjustment technique and the genetic algorithm technique. The fuzzy model is characterized by fuzzy "if-then" rules which represent locally linear input-output relations whose consequence parts are defined as subsystems of a nonlinear sysem. The discrete-time model for each subsystem is obtained to deal with initalization and unmeasurable signal problems in online estimation and the final output of the fuzzy model is computed from the outputs of the discrete-time models. Then, the parameters of both the premise and consequence parts of the fuzzy model are adjusted by a genetic algorithm. A set of simulation works is carried out to demonstrate the effectiveness of the proposed method.ed method.

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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 linear system approach

  • 이태억
    • Proceedings of the Korean Operations and Management Science Society Conference
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    • 1993.10a
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    • pp.118-118
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    • 1993
  • We consider a discrete event dynamic system called periodic job shop, where an identical mixture of items called minimal part set(MPS) is repetitively produced in the same processing order and the primary performance measure is the cycle time. The precedence relationships among events(starts of operations) are represented by a directed graph with rocurront otructure. When each operation starts as soon as all its preceding operations complete(called earliest starting), the occurrences of events are modeled in a linear system using a special algebra called minimax algebra. By investigating the eigenvalues and the eigenvectors, we develop conditions on the directed graph for which a stable steady state or a finite eigenvector exists. We demonstrate that each finite eigenvector, characterized as a finite linear combination of a class of eigenvalue, is the minimum among all the feasible schedules and an identical schedule pattern repeats every MPS. We develop an efficient algorithm to find a schedule among such schedules that minimizes a secondary performance measure related to work-in-process inventory. As a by-product of the linear system approach, we also propose a way of characterizing stable steady states of a class of discrete event dynamic systems.

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Stabilization of discrete-time semilinear heat processes by boundary inputs

  • Koay, S.P.;Sano, H.;Ito, K.;Kunimatsu, N.
    • 제어로봇시스템학회:학술대회논문집
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    • 1990.10b
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    • pp.1284-1288
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    • 1990
  • In this paper, we are going to study the stabilization of the semilinear heat equation with inhomogenous boundary conditions, whose solutions are not (in general) stable. Here, we use the discrete-time feedback inputs through the boundary of geometric domain to the semilinear system under some additional conditions and assumptions. It is shown that under these conditions, the stabilization can be realized by applying pole assignment argument to the principal linear part of the system and that the solutions exist globally in discrete-time t without any finite escape time.

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Transient-Performance-Oriented Discrete-Time Design of Resonant Controller for Three-Phase Grid-Connected Converters

  • Song, Zhanfeng;Yu, Yun;Wang, Yaqi;Ma, Xiaohui
    • Journal of Power Electronics
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    • v.19 no.4
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    • pp.1000-1010
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    • 2019
  • The use of internal-model-based linear controller, such as resonant controller, is a well-established technique for the current control of grid-connected systems. Attractive properties for resonant controllers include their two-sequence tracking ability, the simple control structure, and the reduced computational burden. However, in the case of continuous-designed resonant controller, the transient performance is inevitably degraded at a low switching frequency. Moreover, available design methods for resonant controller is not able to realize the direct design of transient performances, and the anticipated transient performance is mainly achieved through trial and error. To address these problems, the zero-order-hold (ZOH) characteristic and inherent time delay in digital control systems are considered comprehensively in the design, and a corresponding hold-equivalent discrete model of the grid-connected converter is then established. The relationship between the placement of closed-loop poles and the corresponding transient performance is comprehensively investigated to realize the direct mapping relationship between the control gain and the transient response time. For the benefit of automatic tuning and real-time adaption, analytical expressions for controller gains are derived in detail using the required transient response time and system parameters. Simulation and experimental results demonstrate the validity of the proposed method.

A Study on the Linear Time-Varying System of MRAC (선형시변 시스템 기준 모델 적응제어에 관한 고찰)

  • Koo, Tak-Mo;Shin, Jang-Kyoo;Kim, Che-Young
    • Journal of the Korean Institute of Telematics and Electronics
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    • v.21 no.4
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    • pp.78-83
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    • 1984
  • A method is proposed for the adaptive control of linear time varying discrete systems. The stability problem of the model reference adaptive control systems is considered by means of the properties of hypergtability, The hyperstability approach also allows for solutions to the adaptation mechanism. Employing the principles of the continuous time case with output feedback renders it to the discrete case which simplified the system design. The system response is obtained by applying the ramp and step input as a reference signal to the system respectively. With checking the adaptation time for ramp and step input the validity of proposed algorithm was confirmed by the computer simulation.

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