• 제목/요약/키워드: linear time

검색결과 7,470건 처리시간 0.034초

선형 시변 시스템에 대한 모드 및 총가제어성/가관측성 척도 (Measures of modal and gross controllability/observability for linear time-varying systems)

  • 최재원;이호철;이달호
    • 제어로봇시스템학회논문지
    • /
    • 제5권6호
    • /
    • pp.647-655
    • /
    • 1999
  • For linear time-varying systems described by the triple (A(t),B(t),C(t)) where A(t),B(t),C(t) are the system, the input, and the output matrices, respectively, we propose concepts for measures of modal and gross controllability /observability. We introduce a differential algebraic eigenbvalue theory for linear time-varying systems to calculate the PD-eigenvalues and left and right PD-eigenvectors of the system matrix A(t) which will be used to derive the concepts for the measures. The time-dependent angle between the left PD-eigenvectors of the system matrix A(t) and the columns of the input matrix B(t), and the magnitude of the each element of the input matrix B(t) are used to propose the modal controllability measure. Similarly, the time-dependent angle between the right PD-eigenvectors of the system matrix A(t) and the rows of the output matrix C(t) are used to propose the madal observability measure. Gross measure of controllability of a mode from all inputs and its gross measure of observability in all outputs for the linear time-varying systems are also proposed. Numerical examples are presented to illustrate the proposed concepts.

  • PDF

계층 구조 클러스터링 알고리즘 설계 및 그 응용 (Design of Hierarchically Structured Clustering Algorithm and its Application)

  • 방영근;박하용;이철희
    • 산업기술연구
    • /
    • 제29권B호
    • /
    • pp.17-23
    • /
    • 2009
  • In many cases, clustering algorithms have been used for extracting and discovering useful information from non-linear data. They have made a great effect on performances of the systems dealing with non-linear data. Thus, this paper presents a new approach called hierarchically structured clustering algorithm, and it is applied to the prediction system for non-linear time series data. The proposed hierarchically structured clustering algorithm (called HCKA: Hierarchical Cross-correlation and K-means clustering Algorithms) in which the cross-correlation and k-means clustering algorithm are combined can accept the correlationship of non-linear time series as well as statistical characteristics. First, the optimal differences of data are generated, which can suitably reveal the characteristics of non-linear time series. Second, the generated differences are classified into the upper clusters for their predictors by the cross-correlation clustering algorithm, and then each classified differences are classified again into the lower fuzzy sets by the k-means clustering algorithm. As a result, the proposed method can give an efficient classification and improve the performance. Finally, we demonstrates the effectiveness of the proposed HCKA via typical time series examples.

  • PDF

Nonlinear Modification Scheme for Reducing Cautiousness of Linear Robust Control

  • Maki, Midori;Hagino, Kojiro
    • 제어로봇시스템학회:학술대회논문집
    • /
    • 제어로봇시스템학회 1999년도 제14차 학술회의논문집
    • /
    • pp.108-111
    • /
    • 1999
  • In this paper, we develope a composite control law for linear systems with norm-bounded time-varying parameter uncertainties, which consists of a basic linear robust control do-signed so as to generate a desired transient time-response for the worst-case parameter variation and a nonlinear modification term designed so as to reduce cautiousness of the linear robust control in an adaptive manner. The proposed controller is established such that the reduction of cautiousness of the linear robust control is well incorporated into the achievement of a good transient behavior.

  • PDF

상태변수 시간지연을 갖는 선형시스템의 분수 모델 축소 (A Fractional Model Reduction for Linear Systems with State Delay)

  • Yoo, Seog-Hwan
    • 전자공학회논문지SC
    • /
    • 제41권2호
    • /
    • pp.29-36
    • /
    • 2004
  • 본 논문에서는 시변 시간지연을 갖는 선형시스템의 분수 모델 간략화를 다룬다. 이를 위해 선형 시간지연 시스템의 축소된 소인수 분해를 정의하고 선형 행렬부등식의 해를 이용하여 구한다. 축소된 소인수의 일반화 가제어성, 가관측성 그래미안을 이용하여 시스템의 균형화된 상태공간 모델을 구현한다. 모델 차수축소는 균형화된 상태공간 모델의 일부 상태변수를 절삭하여 얻어지며 모델 오차의 상한치를 제시한다. 제안된 방법의 효용성을 수치 예를 통하여 입증한다.

외란을 갖는 선형 시변 샘플링된 시스템에 대한 가변구조제어기 (Variable Structure Controller for Linear Time-Varying Sampled-Data Systems with Disturbances)

  • 박강박
    • 대한전기학회논문지:시스템및제어부문D
    • /
    • 제51권12호
    • /
    • pp.556-561
    • /
    • 2002
  • In this paper, a discrete-time variable structure controller for linear time-varying sampled-data systems with disturbances is proposed. The proposed method guarantees that the system state if globally uniformly ultimately bounded (G.U.U.B), and the ultimate bound is shown to be the order of T, O(T), where T is a sampling period.

Stabilizing Controller Design for Linear Time-Varying Systems Using Ackerman-like Formula

  • Choi, Jae-Weon;Lee, Ho-Chul
    • 제어로봇시스템학회:학술대회논문집
    • /
    • 제어로봇시스템학회 2001년도 ICCAS
    • /
    • pp.125.1-125
    • /
    • 2001
  • This paper deals with the eigenvalue assignment technique for linear time-varying systems to achieve feedback stabilization. For this, we introduce the novel eigenvalue concepts. Then, we propose the Ackerman-like formula for linear time-varying systems. It is believed that this technique is the generalized version of the Ackerman formula forlinear time-invariant systems. The advantages of the proposed technique are that it does not require the transformation of the original system into the phase-variable form nor the computation of eigenvalues of the original system.

  • PDF

Eigenstructure-Based Robust Stability Criterion for Linear Time-Varying Systems

  • Lee, Ho-Chul;Park, Jae-Weon
    • 제어로봇시스템학회:학술대회논문집
    • /
    • 제어로봇시스템학회 2002년도 ICCAS
    • /
    • pp.44.3-44
    • /
    • 2002
  • Stability robustness of a linear time-varying system with time-varying structured state space uncertainties is considered by using extended-mean theorem and Bellman's lemma. The extended-mean theorem is a necessary and sufficient exponential stability criterion based on the recently developed PD-eigenvalue and PD-eigenvector for a linear time-varying system. Our new result required that the extended-mean of each nominal PD-eigenvalue should be negative real which is determined by a norm involving the structures of the uncertainty and the no...

  • PDF

천천히 변하는 선형 시변 시스템의 안정도 영역 (Stability Regions of Linear Slowly Time-Varying Systemsa)

  • 최종호;장태정
    • 제어로봇시스템학회:학술대회논문집
    • /
    • 제어로봇시스템학회 1988년도 한국자동제어학술회의논문집(국내학술편); 한국전력공사연수원, 서울; 21-22 Oct. 1988
    • /
    • pp.210-213
    • /
    • 1988
  • By using Lyapunov method, sufficient conditions for linear time-varying continuous-time and discrete-time systems to be stable are presented under the assumption that the systems are slowly time-varying. Though it is not simple to find the stability regions immediately, one could find practical and large stability regions by constructing an appropriate algorithm.

  • PDF

시변 불확실성을 가지는 선형 시스템을 위한 반복 제어 시스템의 설계 (Design of Repetitive Control System for Linear Systems with Time-Varying Uncertainties)

  • 정명진;도태용
    • 제어로봇시스템학회논문지
    • /
    • 제11권1호
    • /
    • pp.13-18
    • /
    • 2005
  • This paper considers a design problem of the repetitive control system for linear systems with time-varying norm bounded uncertainties. Using the Lyapunov functional for time-delay systems, a sufficient condition ensuring robust stability of the repetitive control system is derived in terms of an algebraic Riccati inequality (ARI) or a linear matrix inequality (LMI). Based on the derived condition, we show that the repetitive controller design problem can be reformulated as an optimization problem with an LMI constraint on the free parameter.

선형 시변 시스템에 대한 잘 정의된 (well-defined) 직렬 및 병렬 D-스펙트럼 (Well-Defined series and parallel D-spectra for preparation for linear time-varying systems)

  • ;이호철;최재원
    • 제어로봇시스템학회논문지
    • /
    • 제5권5호
    • /
    • pp.521-528
    • /
    • 1999
  • The nth-order, scalar, linear time-varying (LTV) systems can be dealt with operators on a differential ring. Using this differential algebraic structure and a classical result on differential operator factorizaitons developed by Floquet, a novel eigenstructure(eigenvalues, eigenvectors) concepts for linear time0varying systems are proposed. In this paper, Necessary and sufficient conditions for the existence of well-defined(free of finite-time singularities) SD- and PD- spectra for SPDOs with complex- and real-valued coefficients are also presented. Three numerical examples are presented to illustrate the proposed concepts.

  • PDF