• Title/Summary/Keyword: Discrete Time Systems

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Estimation error bounds of discrete-time optimal FIR filter under model uncertainty

  • Yoo, Kyung-Sang;Kwon, Oh-Kyu
    • 제어로봇시스템학회:학술대회논문집
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    • 1995.10a
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    • pp.352-355
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    • 1995
  • In this paper, estimation error bounds of the optimal FIR (Finite Impulse Response) filter, which is proposed by Kwon et al.[1, 2], are presented in discrete-time systems with the model uncertainty. Performance bounds are here represented by the upper bounds on the difference of the estimation error covariances between the nominal and real values in case of the systems with the noise or model parameter uncertainty. The estimation error bounds of the discrete-time optimal FIR filter is compared with those of the Kalman filter via a numerical example applied to the simulation problem by Toda and Patel[3]. Simulation results show that the former has robuster performance than the latter.

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Supervisor for Real-Time Nondeterministic Discrete Event Systems Under Bounded Time Constraints

  • Park, Seong-Jin;Cho, Kwang-Hyun;Lim, Jong-Tae
    • 제어로봇시스템학회:학술대회논문집
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    • 2001.10a
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    • pp.104.4-104
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    • 2001
  • This paper addresses a supervisory control problem to meet bounded time constraints in real-time nondeterministic discrete event systems (DESs) represented as timed transition models. For a timed language specification representing a bounded time constraint, this paper introduces the notions of trace-controllability and time-controllability. Based on the notions, this paper presents the necessary and sufficient conditions for the existence of a supervisor for a real-time nondeterministic DES to achieve the specification.

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Time-Coobservability in the Decentralized Supervisory Control of Timed Discrete Event Systems (시간 이산 사건 시스템의 분산 관리 제어에서 시간-상호관측가능성)

  • Park, Seong-Jin;Choi, Ho-Lim
    • Journal of Institute of Control, Robotics and Systems
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    • v.15 no.4
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    • pp.396-399
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    • 2009
  • This paper presents the notion of time-coobservability as a core condition far the existence of a decentralized supervisor achieving a given language specification in a timed discrete event system (TDES). A TDES is modeled by the framework of Brandin & Wonham [5], and the decentralized supervisory control architecture presented is extended from the untimed architecture of Yoo & Lafortune [1]. To develop the time-coobservability of a language specification, specifically this paper presents the C&P time-coobservability and D&A time-coobservability in the consideration of the event tick and forcing mechanism of decentralized supervisors.

Robust stability for discrete time-delay systems with perturbations (섭동을 가지는 이산 시간지연 시스템의 강인 안정성)

  • Park, Ju-Hyeon;Won, Sang-Cheol
    • Journal of Institute of Control, Robotics and Systems
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    • v.2 no.3
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    • pp.158-164
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    • 1996
  • In this paper, we consider the problem of robust stability of discretd time-delay systems subjected to perturbations. Two classes of perturbations are treated. The first one is the nonlinear norm-bounded perturbation, and the second is the structured time-varying parametric perturbation. Based on the discrete-time Lyapunov stability theory, several new sufficient conditions for robust stability of the system are presented. From these conditions, we can estimate the maximum allowable bounds of the perturbations which guarantee the stability. Finally, numerical examples are given to demonstrate the effectiveness of the results.

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Identification of nonlinear discrete systems in the time domain (시간 영역에서의 비선형 이산계 식별)

  • 최종호
    • 전기의세계
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    • v.29 no.11
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    • pp.742-750
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    • 1980
  • The problem of nonlinear time-invariant system identification by estimation of Wiener kernels is studied for discrete time systems with inputs having symmetric probability distributions. G-functionals are constructed. It is further shown that under idealized conditions, these seemingly different techniques yield the same results. The results of identification of asimulated second degree system is presented.

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Stability Margin of Discrete-Time LQR with Cross-Product Term in Performance Index (가격함수에 교차곱항이 포함된 이산시간 LQR의 안정성 여유)

  • 최재원;황태현
    • Journal of Institute of Control, Robotics and Systems
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    • v.8 no.10
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    • pp.856-860
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    • 2002
  • The guaranteed stability margin of LQ optimal regulators with cross-product terms in a performance index is derived for the discrete-time case. In order to obtain the guaranteed stability margin, the singular value of the return difference matrix is examined. A numerical simulation is provided to demonstrate the validity of the derived stability margin.

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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A performance analysis of the discrete time DS/CDMA system based on the code phase difference (코드 위상차에 따른 이산 시간 CDMA 시스템의 성능 분석)

  • 안병양
    • Journal of the Korean Institute of Telematics and Electronics S
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    • v.35S no.5
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    • pp.11-16
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    • 1998
  • DS/CDMA systems for the high speed communication require high code rats. In discrete time CDMA receivers, the performance degradation, caused by the phase difference between transmission code and reference code, increase the sampling frquency of the receiver. This increment of the sampling frequency makes hard to implement high speed CDMA systems. This paper analyzes the SIR(signal to interference Ratio) performance of the discrete time DS/CDMA system, based on the code phase difference. The results of this paper may be useful to study a low-sampling CDMA receiver.

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Combined discrete event and discrete time simulation framework for the improvement of shipbuilding process planning (조선 공정 계획의 수립 완성도 향상을 위한 이산 사건 및 이산 시간 혼합형 시뮬레이션 프레임워크)

  • Cha, Ju-Hwan;Roh, Myung-Il;Bang, Kyung-Woon;Lee, Kyu-Yeul
    • Journal of the Korea Society for Simulation
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    • v.17 no.4
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    • pp.71-80
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    • 2008
  • In this study, a simulation framework, which can support developing various simulation systems for the improvement of process planning in shipbuilding such as the block erection, the block turn-over, and so on, is proposed. In addition, a simulation kernel, which is a key component of the simulation framework, is implemented according to the concept of the combined discrete event and discrete time simulation. To evaluate the efficiency and applicability of the proposed simulation framework, it is applied to the block erection process in shipbuilding. The result shows that the proposed simulation framework can provide the consistent, integrated development environment for a simulation system, as compared with existing studies and commercial simulation systems.

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Robustness of 2nd-order Iterative Learning Control for a Class of Discrete-Time Dynamic Systems

  • Kim, Yong-Tae
    • Journal of the Korean Institute of Intelligent Systems
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    • v.14 no.3
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    • pp.363-368
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    • 2004
  • In this paper, the robustness property of 2nd-order iterative learning control(ILC) method for a class of linear and nonlinear discrete-time dynamic systems is studied. 2nd-order ILC method has the PD-type learning algorithm based on both time-domain performance and iteration-domain performance. It is proved that the 2nd-order ILC method has robustness in the presence of state disturbances, measurement noise and initial state error. In the absence of state disturbances, measurement noise and initialization error, the convergence of the 2nd-order ILC algorithm is guaranteed. A numerical example is given to show the robustness and convergence property according to the learning parameters.