• 제목, 요약, 키워드: linear time-varying system

검색결과 284건 처리시간 0.036초

이산시스템에서 시간지연을 갖는 시변 상태 지연 섭동의 안정 범위에 관한 연구 (Stability Bounds of Delayed Time-varying Perturbations of Discrete Systems)

  • 이달호;한형석
    • 제어로봇시스템학회논문지
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    • v.13 no.2
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    • pp.147-153
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    • 2007
  • The stability robustness problem of linear discrete-time systems with delayed time-varying perturbations is considered. Compared with continuous time system, little effort has been made for the discrete time system in this area. In the previous results, the bounds were derived for the case of non-delayed perturbations. There are few results for delayed perturbation. Although the results are for the delayed perturbation, they considered only the time-invariant perturbations. In this paper, the sufficient conditions for stability can be expressed as linear matrix inequalities(LMIs). The corresponding stability bounds are determined by LMI(Linear Matrix Inequality)-based algorithms. Numerical examples are given to compare with the previous results and show the effectiveness of the proposed results.

입출력 변환을 이용한 선형 시변 시스템의 선형 시불변 변환 (The Transformation Time-invarying Linear System for a Class of Time-varying Linear System via I/O Transformation)

  • 조도현;원영진;조창호;이태식;이종용
    • 대한전자공학회:학술대회논문집
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    • pp.483-484
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    • 2007
  • In this paper, we consider the input-output transformation for the time-varying linear system and get the time-invarying linear system. And we present the necessary sufficient condition for the I/O transformation. The transformed system represent the system with the multiple integral. We verify the proposal algorithm via the example and examine.

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Discrete Variable Structure Control for Linear Time-Varying Systems

  • Park, Kang-Bak;Teruo Tsuji;Tsuyoshi Hanamoto;S. Umerjan
    • 제어로봇시스템학회:학술대회논문집
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    • pp.508-508
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    • 2000
  • In this paper, a discrete-time variable structure controller for linear time-varying systems with time-varying disturbances is proposed. The proposed method guarantees that the system state is globally uniformly ultimately bounded (G,U.U.B.) under the existence of external disturbances.

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Robust adaptive control of linear time-varying systems which are not necessarily slowly varying

  • Song, Chan-Ho
    • 제어로봇시스템학회:학술대회논문집
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    • pp.1424-1429
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    • 1990
  • This paper presents an indirect adaptive control scheme for discrete linear systems whose parameters are not necessrily slowly varying. It is assumed that system parameters are modelled as linear combinations of known bounded functions with unknown constant coefficients. Unknown coefficients are estimated using a recursive least squares algorithm with a dead zone and a forgetting factor. A control law which makes the estimated model exponentially stable is constructed. With this control law and a state observer, all based on the parameter estimates, it is shown that the resulting closed-loop system is globally stable and robust to bounded external disturbances and small unmodelled plant uncertainties.

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시변 시간지연을 갖는 이산시스템의 시변 불확실성의 안정 범위 (Stability Bounds of Time-Varying Uncertainty and Delay Time for Discrete Systems with Time-Varying Delayed State)

  • 한형석
    • 제어로봇시스템학회논문지
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    • v.18 no.10
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    • pp.895-901
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    • 2012
  • The stability robustness problem of linear discrete systems with time-varying unstructured uncertainty of delayed states with time-varying delay time is considered. The proposed conditions for stability can be used for finding allowable bounds of timevarying uncertainty and delay time, which are solved by using LMI (Linear Matrix Inequality) and GEVP (Generalized Eigenvalue Problem) known as powerful computational methods. Furthermore, the conditions can imply the several previous results on the uncertainty bounds of time-invariant delayed states. Numerical examples are given to show the effectiveness of the proposed algorithms.

시변지연을 가지는 LPV시스템의 H 샘플데이타 제어 (H Sampled-Data Control of LPV Systems with Time-varying Delay)

  • 유아연;이상문
    • 전기학회논문지
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    • v.64 no.1
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    • pp.121-127
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    • 2015
  • This paper considers the problem of sampled-data control for continuous linear parameter varying (LPV) systems. It is assumed that the sampling periods are arbitrarily varying but bounded. Based on the input delay approach, the sampled-data control LPV system is transformed into a continuous time-delay LPV system. Some less conservative stabilization results represented by LMI (Linear Matrix Inequality) are obtained by using the Lyapunov-Krasovskii functional method and the reciprocally combination approach. The proposed method for the designed gain matrix should guarantee asymptotic stability and a specified level of performance on the closed-loop hybrid system. Numerical examples are presented to demonstrate the effectiveness and the improvement of the proposed method.

시변 지연시간을 갖는 양의 시변 이산시스템의 시변 불확실성의 안정범위 (Stability Bound for Time-Varying Uncertainty of Positive Time-Varying Discrete Systems with Time-Varying Delay Time)

  • 한형석
    • 제어로봇시스템학회논문지
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    • v.22 no.6
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    • pp.424-428
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    • 2016
  • A simple new sufficient condition for asymptotic stability of the positive linear time-varying discrete-time systems, with unstructured time-varying uncertainty in delayed states, is established in this paper Compared with previous results that cannot be applied to time-varying systems; the time-varying system and delay time are considered simultaneously in this paper. The proposed conditions are compared with suitable conditions for the typical discrete-time systems. The considerations are illustrated by numerical examples of previous work.

웨이브렛 변환을 이용한 시변 선형 시스템의 근사화 (Approximation of Linear Time-Varying System Using Wavelet Transform)

  • 이영석;김동옥;안대찬;서보희
    • 대한전기학회:학술대회논문집
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    • pp.717-719
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    • 1997
  • This paper discusses approximate modelling of discrete-time linear time-varying system(LTVS). The wavelet transform is considered as a tool for representing and approximating a LTVS. The joint time-frequency properties of wave analysis are appropriate for describing the LTVS. Simulatly results is included to illustrate the popential application of the technique.

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S-procedure를 이용한 상태에 시변 시간지연을 가지는 이산 선형 시스템에 대한 $H_\infty$ 제어기 설계 ($H_\infty$ Controller Design for Discrete-time Linear Systems with Time-varying Delays in States using S-procedure)

  • Kim, Ki-Tae;Cho, Sang-Hyun;Park, Hong-Bae
    • 전자공학회논문지SC
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    • v.39 no.2
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    • pp.95-103
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    • 2002
  • 본 논문에서는 상태에 시변 시간지연을 가지는 이산 선형 시스템에 대한 H/sub ∞/ 제어기 설계문제를 다룬다. H/sub ∞/ 제어기가 존재할 충분조건과 설계방법에 대해 논의한다. 본 논문에서 다루는 H/sub ∞/ 제어기법은 상태궤환 제어기로서 시변 시간지연의 상한값과 S-procedure를 이용한다. 또한, 변수 치환, Schur 여수정리 등을 이용하여 충분조건을 모든 변수에 대한 선행 행렬 부등식(linear matrix inequality)으로 표현한다.

구간 시변 지연이 존재하는 불확실 확률적 뉴럴 네트웍의 지연의존 안전성 판별법 (Delay-dependent Stability Criteria for Uncertain Stochastic Neural Networks with Interval Time-varying Delays)

  • 권오민;박주현;이상문
    • 전기학회논문지
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    • v.57 no.11
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    • pp.2066-2073
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    • 2008
  • In this paper, the problem of global asymptotic stability of uncertain stochastic neural networks with delay is considered. The delay is assumed to be time-varying and belong to a given interval. Based on the Lyapunov stability theory, new delay-dependent stability criteria for the system is derived in terms of LMI(linear matrix inequality). Three numerical examples are given to show the effectiveness of proposed method.