• 제목/요약/키워드: delay-dependent criterion

검색결과 24건 처리시간 0.022초

뉴트럴 시간지연 시스템의 강인 지연의존 안정성 해석을 위한 새로운 리아프노프 함수법 (A New Augmented Lyapunov Functional Approach to Robust Delay-dependent Stability Analysis for Neutral Time-delay Systems)

  • 권오민
    • 전기학회논문지
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    • 제60권3호
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    • pp.620-624
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    • 2011
  • This paper propose a new delay-dependent stability criterion of neutral time-delay systems. By employing double-integral terms in augmented states and constructing a new Lyapunov-Krasovskii's functional, a delay-dependent stability criterion is established in terms of Linear Matrix Inequality. Through numerical examples, the validity and improvement results obtained by applying the proposed stability criterion will be shown.

Delay-dependent stabilization for time-delay systems;An LMI approach

  • Cho, H.J.;Park, Ju-H.;Lee, S.G.
    • 제어로봇시스템학회:학술대회논문집
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    • 제어로봇시스템학회 2004년도 ICCAS
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    • pp.1744-1746
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    • 2004
  • This paper focuses on the problem of asymptotic stabilization for time-delay systems. To this end, a memoryless state feedback controller is proposed. Then, based on the Lyapunov method, a delay-dependent stabilization criterion is devised by taking the relationship between the terms in the Leibniz-Newton formula into account. Certain free weighting matrices are used to express this relationship and linear matrix inequalities (LMIs)-based algorithm to design the controller stabilizing the system.

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불확실성이 존재하는 네트워크 제어시스템의 강인 지연의존 안정성 판별법 (Robust Delay-dependent Stability Criterion for Uncertain Networked Control System)

  • 박명진;권오민;박주현
    • 대한임베디드공학회논문지
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    • 제4권2호
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    • pp.97-102
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    • 2009
  • In this paper, the problem of stability analysis for networked control systems with norm-bounded parameter uncertainties is investigated. By construction Lyapunov's functional, a new delay-dependent stability criterion for uncertain networked control system is established in terms of LMIs (linear matrix inequalities) which can be easily by various convex optimization algorithms. One numerical example is included to show the effectiveness of proposed criterion.

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포화 구동기를 갖는 시간 지연 시스템의 제어기 설계 (Robust stabilization of uncertain time-delay systems with saturating actuator)

  • 조현주;박주현
    • 대한전기학회:학술대회논문집
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    • 대한전기학회 2004년도 학술대회 논문집 정보 및 제어부문
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    • pp.702-704
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    • 2004
  • This paper focuses on the problem of asymptotic stabilization for uncertain time-delay systems with saturating actuator. We propose a state feedback controller which maximizes the delay bound for guaranteeing stability of the system. Then, based on the Lyapunov method, a delay-dependent stabilization criterion is devised by taking the relationship between the terms in the Leibniz-Newton formula into account. The criterion is represented in terms of LMIs, which can be solved by various efficient convex optimization algorithm. Numerical examples are given to illustrate our main method.

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LMI based criterion for reinforced concrete frame structures

  • Chen, Tim;Kau, Dar;Tai, Y.;Chen, C.Y.J.
    • Advances in concrete construction
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    • 제9권4호
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    • pp.407-412
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    • 2020
  • Due to the influence of nonlinearity and time-variation, it is difficult to establish an accurate model of concrete frame structures that adopt active controllers. Fuzzy theory is a relatively appropriate method but susceptible to human subjective experience to decrease the performance. To guarantee the stability of multi-time delays complex system with multi-interconnections, a delay-dependent criterion of evolved design is proposed in this paper. Based on this criterion, the sector nonlinearity which converts the nonlinear model to multiple rule base of the linear model and a new sufficient condition to guarantee the asymptotic stability via Lyapunov function is implemented in terms of linear matrix inequalities (LMI). A numerical simulation for a three-layer reinforced concrete frame structure subjected to earthquakes is demonstrated that the proposed criterion is feasible for practical applications.

On Delay-Dependent Stability of Neutral Systems with Mixed Time-Varying Delay Arguments

  • Park, H.J.
    • KIEE International Transaction on Systems and Control
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    • 제12D권1호
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    • pp.39-42
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    • 2002
  • This paper focuses on the asymptotic stability of a class of neutral linear systems with mixed time-varying delay arguments. Using the Lyapunov method, a delay-dependent stability criterion to guarantee the asymptotic stability for the systems is derived in terms of linear matrix inequalities (LMIs). The LMIs can be easily solved by various convex optimization algorithms. Two numerical examples are given to illustrate the proposed methods.

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변수 불확실성과 시변 시간지연을 가지는 특이시스템의 지연 종속 강인 비약성 안정화 (Delay-dependent Robust and Non-fragile Stabilization for Descriptor Systems with Parameter Uncertainties and Time-varying Delays)

  • 김종해
    • 전기학회논문지
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    • 제57권10호
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    • pp.1854-1860
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    • 2008
  • In this paper, we deal with the problem of delay-dependent robust and non-fragile stabilization for descriptor systems with parameter uncertainties and time-varying delays on the basis of strict LMI(linear matrix inequality) technique. Also, the considering controller is composed of multiplicative uncertainty. The delay-dependent robust and non-fragile stability criterion without semi-definite condition and decomposition of system matrices is obtained. Based on the criterion, the problem is solved via state feedback controller, which guarantees that the resultant closed-loop system is regular, impulse free and stable in spite of all admissible parameter uncertainties, time-varying delays, and controller fragility. Numerical examples are presented to demonstrate the effectiveness of the proposed method.

이산 및 분산 시변 지연을 가진 뉴럴 네트워크에 대한 새로운 시간지연 종속 안정성 판별법 (New Delay-dependent Stability Criterion for Neural Networks with Discrete and Distributed Time-varying Delays)

  • 박명진;권오민;박주현;이상문
    • 전기학회논문지
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    • 제58권9호
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    • pp.1809-1814
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    • 2009
  • In this paper, the problem of stability analysis for neural networks with discrete and distributed time-varying delays is considered. By constructing a new Lyapunov functional, a new delay-dependent stability criterion for the network is established in terms of LMIs (linear matrix inequalities) which can be easily solved by various convex optimization algorithms. Two numerical example are included to show the effectiveness of proposed criterion.

비선형 섭동을 갖는 뉴트럴 시스템의 시간종속 안정성 조건식 (Delay-Dependent Criterion for Stability of Uncertain Neutral Systems)

  • 박주현
    • 대한전기학회:학술대회논문집
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    • 대한전기학회 2000년도 하계학술대회 논문집 D
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    • pp.2320-2322
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    • 2000
  • In this paper, the problem of the stability analysis for linear neutral delay-differential systems with nonlinear perturbations is investigated. Using Lyapunov second method, a new delay-dependent sufficient condition for asymptotic stability of the systems in terms of linear matrix inequalities (LMIs), which can be easily solved by various convex optimization algorithms, is presented. A numerical example is given to illustrate the proposed method.

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상태변수와 입력변수에 시간지연을 갖는 불확정 동적 시스템의 제어기 설계 (Delay-Dependent Stabilization for Uncertain Dynamic Systems with State and Input Delays)

  • 조현주;박주현
    • 대한전기학회논문지:시스템및제어부문D
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    • 제54권4호
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    • pp.215-219
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    • 2005
  • This paper aims at asymptotic stabilization for uncertain dynamic systems with state and input delays. We propose a memoryless state feedback controller which maximizes the delay bound for guaranteeing stability of the system. Using Lyapunov method and linear matrix inequality (LMI) approach, a delay-dependent stabilization criterion is devised by taking the relationship between the terms in the Leibniz-Newton formula into account. The criterion is represented in terms of LMIs, which can be solved by various efficient convex optimization algorithms. Numerical examples are given to illustrate our main method.