• Title/Summary/Keyword: Discrete System

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Fault-tolerant robust supervisor for timed discrete event systems

  • Park, Seong-Jin;Li, Jong-Tae
    • 제어로봇시스템학회:학술대회논문집
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    • 1997.10a
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    • pp.411-413
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    • 1997
  • This paper presents the problem of fault-tolerant robust supervisory control of timed discrete event systems (DESs). First the concept of faults is quantitatively defined in timed DESs and fault tolerable event sequences are presented as a desired legal language. Given a timed DES with model uncertainty, the conditions for the existence of a supervisor which always guarantees fault tolerable event sequences embedded in the system are derived.

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Workload Allocation Methods in Discrete Manufacturing Systems:Model and Optimization

  • Yingwen, Zheng
    • 제어로봇시스템학회:학술대회논문집
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    • 2003.10a
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    • pp.1362-1366
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    • 2003
  • Workload programming is allocating suitable workloads of production process according to the needs of products, which would minimize the total cost of both work and stock under some constraint conditions. In this paper, a production process flow chart of discrete manufacturing is presented by a Petri net, and the optimization model of workload-stock is established. An approach of the optimal workloads is provided by means of the integer matrix theory. An example is given to verify this method.

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A regularity condition for asymptotic tracking in discrete-time nonlinear systems

  • Song, Yongkyu
    • 제어로봇시스템학회:학술대회논문집
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    • 1993.10b
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    • pp.138-143
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    • 1993
  • A well-defined relative degree, which is one of the basic assumptions in adaptive control or nonlinear synthesis problems, is addressed. It is shown that this is essentially a necessary condition for asymptotic tracking in discrete-time nonlinear systems. To show this, tracking problems are defined, and a local linear input-output behavior of a discrete-time system is introduced in relation to a well-defined relative degree. It is then shown that if a plant is invertible and accessible from the origin and a compensator solves the local asymptotic tracking problem, then the plant necessarily has a well-defined relative degree at the origin.

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Discrete-time Sliding Mode Control with Input Shaping for flexible systems

  • Woo, Lim-Hyun;Choo, Chung-Chung
    • 제어로봇시스템학회:학술대회논문집
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    • 2001.10a
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    • pp.130.5-130
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    • 2001
  • This paper presents a discrete-time sliding mode control method for linear time-invariant systems with matched uncertainties. In this paper, we suggest a method of adding a command generator using input shaping filter to a discrete-time sliding mode controller. We design the number of steps required to reach the sliding layer and the magnitude of a control input, respectively using the shaping filter. Therefore we can minimize the excitation of the resonance mode and increase the tracking performance of a system. Simulation results are included to show its effectiveness.

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Structured Static Output Feedback Stabilization of Discrete Time Linear Systems (구조적인 제약이 있는 이산시간 선형시스템의 정적출력 되먹임 안정화 제어기 설계)

  • Lee, Joonhwa
    • Journal of Institute of Control, Robotics and Systems
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    • v.21 no.3
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    • pp.233-236
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    • 2015
  • In this paper, a nonlinear optimization problem is proposed to obtain a structured static output feedback controller for discrete time linear systems. The proposed optimization problem has LMI (Linear Matrix Inequality) constraints and a non-convex objective function. Using the conditional gradient method, we can obtain suboptimal solutions of the proposed optimization problem. Numerical examples show the effectives of the proposed approach.

Fault Diagnosis of Linear Discrete-Time Systems Based on an Unknown Input Observer (미지입력 관측기를 이용한 신형 이산 시스템의 고장 진단)

  • ;Zeung Nam Bien
    • Journal of the Korean Institute of Telematics and Electronics B
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    • v.31B no.2
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    • pp.35-44
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    • 1994
  • In this paper, an observer for linear discrete systems with unknown inputs is presented. The suggested observer can estimate the system state vector and the unknown inputs simultaneously. As an extension of the observer, a new fault diagnosis observer for linear discrete systems with structured uncertainty is presented. The fault diagnosis observer can detect and identify the actuator and the sensor faults as well. The stability conditionsand the design methods of the each observers are presented and the usability of the observers is shown via numerical examples.

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TERNARY UNIVARIATE CURVATURE-PRESERVING SUBDIVISION

  • JEON MYUNGJIN;HAN DONGSOONG;PARK KYEONGSU;CHOI GUNDON
    • Journal of applied mathematics & informatics
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    • v.18 no.1_2
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    • pp.235-246
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    • 2005
  • We present an interpolating, univariate subdivision scheme which preserves the discrete curvature and tangent direction at each step of subdivision. Since the polygon have a geometric information of some original(in some sense) curve as a discrete curvature, we can expect that the limit curve has the same curvature at each vertex as the control polygon. We estimate the curvature bound of odd vertices and give an error estimate for restoring a curve from sampled vertices on curves.

Robust H$_\infty$ Control for Discrete Time-delay Linear Systems with Frobenius Norm-bounded Uncertainties (파라미터 불확실성을 가지는 이산 시간지연 시스템에 대한 견실 H$_\infty$ 제어)

  • 김기태;이형호;이상경;박홍배
    • 제어로봇시스템학회:학술대회논문집
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    • 2000.10a
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    • pp.23-23
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    • 2000
  • In this paper, we proposed the problems of robust stability and 개bust H$_{\infty}$ control of discrete time-delay linear st.stems with Frobenius norm-bounded uncertainties. The existence condition and the design method of robust H$_{\infty}$ state feedback control]or are given. Through some changes of variables and Schur complement, the obtained sufficient condition can be rewritten as an LMI(linear matrix inequality) form in terms of all variables.

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Design of Minimum Variance Fault Diagnosis Filter for Linear Discrete-Time Stochastic Systems with Unknown Inputs (미지입력이 존재하는 선형 이산 활률 시스템의 최소 분산 고장 진단 필터의 설계)

  • ;Zeungnam Bien
    • Journal of the Korean Institute of Telematics and Electronics B
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    • v.31B no.8
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    • pp.39-46
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    • 1994
  • In this paper a state reconstruction filter for linear discrete-time stochastic systems with unknown inputs and noises is presented. The suggested filter can estimate the system state vector and the unknown inputs simultaneously As an extension of the filter a fault diagnosis filter for linear discrete-time stochastic systems with unknown inputs and noises is presented for each filters the optimal gain determination methods which minimize the variance of the state reconstruction errorare presented. Finally the usability of the filtersis shown via numerical examples.

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A Robust Discrete-Time Model Reference Adaptive Control in the Presence of Bounded Disturbances (제한된 외란하에서의 강인한 이산 시간 모델 추종 적응 제어)

  • 이호진;함운철;최계근
    • Journal of the Korean Institute of Telematics and Electronics
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    • v.25 no.12
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    • pp.1618-1624
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    • 1988
  • In this paper, a robust discrete model reference adaptive controller is proposed using a generalized model reference adaptive algorithm for single-input single-output discrete systems. A signal dependent time-varying dead-zone is employed in a generalized adaptive control structure. This adaptive controller is shown to assure the boundedness of the signals of the system even in the presence of bounded external disturbance.

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