• Title/Summary/Keyword: Discrete Time Control

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Control of discrete-time chaotic systems using indirect adaptive control (간접 적응 제어 기법을 이용한 이산치 혼돈 시스템의 제어)

  • 박광성;주진만;최윤호;윤태성
    • 제어로봇시스템학회:학술대회논문집
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    • 1996.10b
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    • pp.318-322
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    • 1996
  • In this study, a controller design method is proposed for controlling the discrete-time chaotic systems efficiently. Our proposed control method is based on Generalized Predictive Control and uses NARMAX models as a controlled model. In order to evaluate the performance of our proposed controller design method, a proposed controller is applied to Henon system which is a discrete-time chaotic system, and then the control performance of the proposed controller are compared with those of the previous model-based controllers through computer simulations. Through simulations, it is shown that the control performance of the proposed controller is superior to that of the conventional model-based controller.

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A Design Method for a discrete-time $\textrm{H}^{\infty}$ Controller (이산시간 $\textrm{H}^{\infty}$제어기의 설계방법)

  • 최연욱
    • 제어로봇시스템학회:학술대회논문집
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    • 1997.10a
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    • pp.1444-1447
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    • 1997
  • In this paper, the problen of dseigning a H.inf. controller is considered, where the controller is realized through digital equipment. We show that the existing discrete-time controller design method can be improved by usign the inveres bilinear transformation. The usefulness of the given method is confirmed by simulation.

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Real Time Modeling of Discrete Event Systems and Its Application (이산사건 시스템의 실시간 모델링 및 응용)

  • Jeong, Yong-Man;Hwang, Hyung-Soo
    • Journal of the Korean Institute of Intelligent Systems
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    • v.8 no.6
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    • pp.91-98
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    • 1998
  • A DEDS is a system whose stated change in response to the occurrence of events from a predefined event set. A major difficulty in developing analytical results for the system is the lack of appropriate modeling techniques. In this paper, we consider the modeling and control problem for Discrete Event Dynamic Systems(DEDS) in the Temporal Logic framework(TLF) which have been recently defined. The traditional TLF is enhanced with time functions for real time control of Discrete Event Dynamic Systems. A sequence of event which drive the system from a given initial state to a given final state is generated by pertinently operating the given plants. This paper proposes the use of Real-time Temporal Logic as a modeling tool for the analysis and control of DEDS. An given example of fixed-time traffic control problem is shown to illustrate our results with Real-time Temporal Logic Framework.

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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.

On the stabilization of linear discrete time systems subject to input saturation

  • Choi, Jinhoon
    • 제어로봇시스템학회:학술대회논문집
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    • 1997.10a
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    • pp.1770-1773
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    • 1997
  • In this paper, a linear discrete time system subject to the input saturatioin is shown to be exponentially stabilizable on any compact subset of the constrained asymptotically stabilizable set by a linear periodic variable structure controller. We also establish tat any neutrally stable system subject to the input saturation can be globally asymptotically stabilizable via linear feedback.

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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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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.

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.

A Robust Discrete-Time Adaptive Control with a Compensator (보상기를 이용한 강인한 이산 시간 적응 제어)

  • 이호진;최계근
    • Journal of the Korean Institute of Telematics and Electronics
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    • v.25 no.12
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    • pp.1610-1617
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    • 1988
  • In this paper, a robust discrete-time adaptive control with compensation is proposed for single-input single-output discrete-time plants which have unmodeled dynamics. The stability of the overall system is studied using the conic sector stability theorems when a normalized constant gain parameter adaptation algorithm and a properly chosen compensation are used. An illustrative exmple shows that this compensation can also increase the parameter adaptation speed. And a method of compensation using the adaptive observation is also discussed.

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Development of Continuous/Discrete Mixed $H_2$/H$\infty$ Filtering Design Algorithms for Time Delay Systems

  • Kim, Jong-Hae
    • Transactions on Control, Automation and Systems Engineering
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    • v.2 no.3
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    • pp.163-168
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    • 2000
  • The problems of mixed $H_2/H_{\infty}$ filtering design fer continuous and discrete time linear systems with time delay are investigated. The main purpose is to design a stable mixed $H_2/H_{\infty}$ filter which minimizes the H$_2$Performance measure satisfying a prescribed H$_{\infty}$ norm bound on the closed loop system in continuous-time case and discrete-time case, respectively. The sufficient conditions of existence of filter, the mixed $H_2/H_{\infty}$ filter design method, and the upper bound of performance measure are proposed by LMI(linear matrix inequality) techniques in terms of all finding variables. Also, we present optimization problems in order to get the optimal mixed $H_2/H_{\infty}$ filter in continuous and discrete time case, respectively.

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