• 제목/요약/키워드: Linear Discrete-Time Systems

검색결과 318건 처리시간 0.027초

이산시간 무편향 선형 최적 유한구간 필터 (Discrete-time BLUFIR filter)

  • 박상환;권욱현;권오규
    • 제어로봇시스템학회:학술대회논문집
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    • 제어로봇시스템학회 1996년도 한국자동제어학술회의논문집(국내학술편); 포항공과대학교, 포항; 24-26 Oct. 1996
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    • pp.980-983
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    • 1996
  • A new version of the discrete-time optimal FIR (finite impulse response) filter utilizing only the measurements of finite sliding estimation window is suggested for linear time-invariant state-space models. This filter is called the BLUFIR (best linear unbiased finite impulse response) filter since it provides the BLUE (best linear unbiased estimate) of the state obtained from the measurements of the estimation window. It is shown that the BLUFIR filter has the deadbeat property when there are no noises in the estimation window.

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시변 시간지연을 가지는 이산 선형 불확실성 시스템에 대한 보장 비용 제어 (Guaranteed Cost Control for Discrete-time Linear Uncertain Systems with Time-varying Delay)

  • 김기태;조상현;이상경;박홍배
    • 전자공학회논문지SC
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    • 제39권6호
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    • pp.20-26
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    • 2002
  • 본 논문에서는 시변 시간지연을 가지는 이산 선형 불확실성 시스템에 대한 보장 비용 제어문제를 다룬다. 본 논문에서 다루는 불확실성 시스템은 시변 노옴 한정 파라미터 불확실성을 가진다. 모든 허용 가능한 불확실성에 대해 폐루프 시스템이 자승적으로 안정하고 성능을 보장하는 제어기가 존재할 충분조건과 설계방법에 대해 논의한다. 또한, 변수 치환과 Schur 여수정리 등을 이용하여 충분조건을 모든 변수에 대한 선형 행렬 부등식(linear matrix inequality)으로 표현한다.

시변 지연 이산 시간 비선형 시스템에 대한 정적 출력 궤환 $H\infty$ 퍼지 강인 제어기 설계 (Static Output Feedback Robust $H\infty$ Fuzzy Control of Discrete-Time Nonlinear Systems with Time-Varying Delay)

  • 김택룡;박진배;주영훈
    • 한국지능시스템학회:학술대회논문집
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    • 한국퍼지및지능시스템학회 2005년도 춘계학술대회 학술발표 논문집 제15권 제1호
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    • pp.149-152
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    • 2005
  • In this paper, a robust $H\infty$ stabilization problem to a uncertain discrete-time fuzzy systems with time-varying delay via static output feedback is investigated. The Takagi -Sugeno (T-S) fuzzy model is employed to represent an uncertain nonlinear systems with time-varying delayed state. Using a single Lyapunov function, the globally asymptotic stability and disturbance attenuation of the closed-loop fuzzy control system are discussed. Sufficient conditions for the existence of robust $H\infty$ controllers are given in terms of linear matrix inequalities.

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선형시변 시스템의 안정도 영역에 관하여 (On a Stability Region of Liner Time-Varying Systems)

  • 최종호;장태정
    • 대한전기학회논문지
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    • 제37권7호
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    • pp.484-489
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    • 1988
  • Sufficient conditions concerning the perturbation region of system parameters, which guarantee the asymptotic stability of linear time- varying systems, are presented. These conditions are obtained by Lyapunov function approach for continuous-time and discrete-time systems. Also, a computational algorithm using nonlinear programming is proposed for finding the maximum perturbation region which satisfies the sufficient condition for the continuous-time systems. The technique of finding the solution for the continuous-time systems can also be applied to the discrete-time systems. In the continuous-time case, it is shown by an example that the method proposed in this paper yields much larger perturbation region of parameters than other previously reported results. An example of the perturbation region of system paramters for the discrete-time system is also given.

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양자화와 오버플로우 비선형성을 가지는 이산시간 불확실 지연 특이시스템의 지연종속 강인 안정성 (Delay-dependent Robust Stability of Discrete-time Uncertain Delayed Descriptor Systems using Quantization/overflow Nonlinearities)

  • 김종해;오도창
    • 전기학회논문지
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    • 제62권4호
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    • pp.529-535
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    • 2013
  • This paper considers the problem of robust stability for uncertain discrete-time interval time-varying delayed descriptor systems using any combinations of quantization and overflow nonlinearities. First, delay-dependent linear matrix inequality (LMI) condition for discrete-time descriptor systems with time-varying delay and quantization/overflow nonlinearities is presented by proper Lyapunov function. Second, it is shown that the obtained condition can be extended into descriptor systems with uncertainties such as norm-bounded parameter uncertainties and polytopic uncertainties by some useful lemmas. The proposed results can be applied to both descriptor systems and non-descriptor systems. Finally, numerical examples are shown to illustrate the effectiveness and less conservativeness.

상태와 입력에 시변 시간지연을 가지는 불확실 이산시간 특이시스템의 지연종속 강인 안정화 및 비약성 제어 (Delay-Dependent Robust Stabilization and Non-Fragile Control of Uncertain Discrete-Time Singular Systems with State and Input Time-Varying Delays)

  • 김종해
    • 제어로봇시스템학회논문지
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    • 제15권2호
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    • pp.121-127
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    • 2009
  • This paper deals with the design problem of robust stabilization and non-fragile controller for discrete-time singular systems with parameter uncertainties and time-varying delays in state and input by delay-dependent Linear Matrix Inequality (LMI) approach. A new delay-dependent bounded real lemma for singular systems with time-varying delays is derived. Robust stabilization and robust non-fragile state feedback control laws are proposed, which guarantees that the resultant closed-loop system is regular, causal and stable in spite of time-varying delays, parameter uncertainties, and controller gain variations. A numerical example is given to show the validity of the design method.

IDENTIFICATION OF SINGLE VARIABLE CONTINUITY LINEAR SYSTEM WITH STABILITY CONSTRAINTS FROM SAMPLES OF INPUT-OUTPUT DATA

  • Huang, Zhao-Qing;Ao, Jian-Feng
    • 제어로봇시스템학회:학술대회논문집
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    • 제어로봇시스템학회 1991년도 한국자동제어학술회의논문집(국제학술편); KOEX, Seoul; 22-24 Oct. 1991
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    • pp.1883-1887
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    • 1991
  • Identification theory for linear discrete system has been presented by a great many reference, but research works for identification of continuous-time system are less than preceding identification. In fact, a great man), systems for engineering are continuous-time systems, hence, research for identification of continuous-time system has important meaning. This paper offers the following results: 1. Corresponding relations for the parameters of continuous-time model and discrete model may be shown, when single input-output system has general characteristic roots. 2. To do identification of single variable continuity linear system with stability constraints from samples of input-output data, it is necessary to use optimization with stability constraints. 3. Main results of this paper may be explained by a simple example.

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이산 시간 선형 스위치드 시스템의 스위칭 신호 및 상태에 대한 강인한 추정 알고리즘 (Robust Estimation Algorithm for Switching Signal and State of Discrete-time Switched Linear Systems)

  • 이찬화;심형보
    • 전자공학회논문지
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    • 제52권5호
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    • pp.214-221
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    • 2015
  • 본 논문에서는 측정 잡음에 의해서 출력 신호가 왜곡된 이산 시간 선형 스위치드 시스템의 스위칭 신호와 상태 변수를 관측하기 위한 강인한 추정 및 검출 기법을 제시한다. 첫째, 최소 거리 기준에 기초한 작동 모드 추정 알고리즘이 제안된다. 이 과정에서 모드의 추정값을 얻게 되고, 이를 이용하여 상태 변수 또한 관측할 수 있게 된다. 둘째, 주어진 스위치드 시스템의 작동 모드 변화 시점, 즉, 스위칭이 언제 발생하는지 검출하는 알고리즘이 고안된다. 시스템에 인가되는 측정 잡음이 유계라는 가정 하에, 제안된 추정 알고리즘은 주어진 스위치드 시스템의 작동 모드를 정확하게, 그리고 상태 변수를 근사적으로 추정하며, 검출 알고리즘은 실제 스위칭이 발생한 후, 미리 정해진 지연 시간이 지나가기 전에 스위칭 시간을 검출할 수 있다.

시변 섭동의 안정범위에 관한 연구 (A study on stability bounds of time-varying perturbations)

  • 김병수;한형석;이장규
    • 제어로봇시스템학회논문지
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    • 제3권1호
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    • pp.17-22
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    • 1997
  • The stability robustness problem of linear discrete-time systems with time-varying perturbations is considered. By using Lyapunov direct method, the perturbation bounds for guaranteeing the quadratic stability of the uncertain systems are derived. In the previous results, the perturbation bounds are derived by the quadratic equation stemmed from Lyapunov method. In this paper, the bounds are obtained by a numerical optimization technique. Linear matrix inequalities are proposed to compute the perturbation bounds. It is demonstrated that the suggested bound is less conservative for the uncertain systems with unstructured perturbations and seems to be maximal in many examples. Furthermore, the suggested bound is shown to be maximal for the special classes of structured perturbations.

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A Finite Memory Filter for Discrete-Time Stochastic Linear Delay Systems

  • Song, Il Young;Song, Jin Mo;Jeong, Woong Ji;Gong, Myoung Sool
    • 센서학회지
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    • 제28권4호
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    • pp.216-220
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    • 2019
  • In this paper, we propose a finite memory filter (estimator) for discrete-time stochastic linear systems with delays in state and measurement. A novel filtering algorithm is designed based on finite memory strategies, to achieve high estimation accuracy and stability under parametric uncertainties. The new finite memory filter uses a set of recent observations with appropriately chosen initial horizon conditions. The key contribution is the derivation of Lyapunov-like equations for finite memory mean and covariance of system state with an arbitrary number of time delays. A numerical example demonstrates that the proposed algorithm is more robust and accurate than the Kalman filter against dynamic model uncertainties.