• 제목/요약/키워드: Linear systems

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미지의 선형 MIMO 시스템에 대한 On-line 모델링 알고리즘 (On-line identification algorithm for unknown linear MIMO systems)

  • 최수일;김병국
    • 제어로봇시스템학회:학술대회논문집
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    • 제어로봇시스템학회 1993년도 한국자동제어학술회의논문집(국내학술편); Seoul National University, Seoul; 20-22 Oct. 1993
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    • pp.58-63
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    • 1993
  • A recursive on-line algorithm with orthogonal ARMA identification is proposed for linear MIMO systems with unknown parameters, time delay, and order. This algorithm is based on the Gram-Schmidt orthogonalization of basis functions, and extended to a recursive form by using new functions of two dimensional autocorrelations and cross-correlations of inputs and outputs. The proposed algorithm can also cope with slowly time-varying or order-varying systems. Various simulations reveal the performance of the algorithm.

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출력에 시간지연이 있는 시스템을 위한 칼만필터의 주파수영역 특성 (Frequency-domain properties of Kalman filters for linear systems with delay in output)

  • 이상정
    • 제어로봇시스템학회:학술대회논문집
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    • 제어로봇시스템학회 1988년도 한국자동제어학술회의논문집(국내학술편); 한국전력공사연수원, 서울; 21-22 Oct. 1988
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    • pp.169-171
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    • 1988
  • This paper deals with the robustness property of Kalman filters for linear systems with delay in output. The operator-type Riccati equation is transformed to algebraic equations, and the circle condition is derived. Based on the circle condition, it is shown that the same nondivergence margin, (1/2, .inf.) gain margin and +-60.deg. phase margin, is guaranteed as for ordinary systems.

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다변수 시간지연 시스템의 상태궤환 제어기 설계 (State feedback controller design for linear multivariable systems with delays)

  • 홍석민;황승구;이상정
    • 제어로봇시스템학회:학술대회논문집
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    • 제어로봇시스템학회 1992년도 한국자동제어학술회의논문집(국내학술편); KOEX, Seoul; 19-21 Oct. 1992
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    • pp.1040-1044
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    • 1992
  • This paper presents an algebraic approach for finding a dynamic state feedback controller when the linear multi-input system with delays in both state and input is controllable. In the time-delay case, controllability of the system does not always imply that system is cyclizable. Therefore, reduced order augmentation systems which is cyclizable as the time-varying case are considered. It is possible to construct feedback contorl systems by using single-input methods.

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시간 지연을 갖는 불확실 대형 연결 시스템의 분산 $H_\infty$ 제어 (Decentralized $H_\infty$ Control with Performance for Uncertain Linear Interconnected Systems with Time Delay)

  • 심덕선;김연재
    • 제어로봇시스템학회논문지
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    • 제6권5호
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    • pp.333-338
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    • 2000
  • This paper considers the decentralized control problem of linear time-invariant interconnected systems with delays. A decentralized output-feedback controller to obtain both stability and performance of the interconnected system is designed using the standard $H_\infty$ control theory, This paper provides sufficient conditions for such a controller to exist and provides an output feedback controller.

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최소자승법을 이용한 선형시불변시스템의 간소화 (Simplification of Linear Time-Invariant Systems by Least Squares Method)

  • 추연석;문환영
    • 제어로봇시스템학회논문지
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    • 제6권5호
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    • pp.339-344
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    • 2000
  • This paper is concerned with the simplification of complex linear time-invariant systems. A simple technique is suggested using the well-known least squares method in the frequency domain. Given a high-order transfer function in the s- or z-domain, the squared-gain function corresponding to a low-order model is computed by the least squares method. Then, the low-order transfer function is obtained through the factorization. Three examples are given to illustrate the efficiency of the proposed method.

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Time-delayed State Estimator for Linear Systems with Unknown Inputs

  • Jin Jaehyun;Tahk Min-Jea
    • International Journal of Control, Automation, and Systems
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    • 제3권1호
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    • pp.117-121
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    • 2005
  • This paper deals with the state estimation of linear time-invariant discrete systems with unknown inputs. The forward sequences of the output are treated as additional outputs. In this case, the rank condition for designing the unknown input estimator is relaxed. The gain for minimal estimation error variance is presented, and a numerical example is given to verify the proposed unknown input estimator.

연립일차방정식의 다양한 표현과 소거법의 의미에 관한 연구 (On Representations of Linear Systems and Analysis for the Meaning of Elimination Method)

  • 김진환;박교식
    • 대한수학교육학회지:학교수학
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    • 제17권3호
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    • pp.407-421
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    • 2015
  • 본 연구에서는 연립일차방정식에 대한 교사의 수학 전문성 신장을 위하여 연립일차방정식의 다양한 표현을 탐색하고, 그 해결 방법인 소거법의 의미를 분석했다. 연립일차방정식은 언어적 표현, 직사각형 표현, 방정식 표현, 직선(또는 그래프) 표현, 첨가행렬 표현, 행렬 표현, 일차결합(또는 벡터) 표현으로 나타낼 수 있다. 직사각형 표현은 계수가 자연수이고 해가 양인 값을 찾는데 유용하다. 직선 표현에서 기울기와 절편을 Cramer의 공식과 연결시켜 줄 수 있다. 한 미지수를 소거하는 것은 축이나 축에 평행한 직선의 방정식을 구하고, 그것을 사용하여 다른 축이나 축에 평행한 직선으로 바꾸는 것이다. 이런 점에서 가감법이라는 대수적 절차를 직선을 사용하여 시각적으로 이미지화할 수 있다. 일차방정식의 해법에서 사용하는 방정식의 일차결합은 직선족과 방향벡터로 바꾸어 생각할 수 있다.

FMS 스케쥴링 신경회로 (Linear programming neural networks for job-shop scheduling)

  • 장석호;남부희
    • 제어로봇시스템학회:학술대회논문집
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    • 제어로봇시스템학회 1993년도 한국자동제어학술회의논문집(국내학술편); Seoul National University, Seoul; 20-22 Oct. 1993
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    • pp.1095-1098
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    • 1993
  • This paper presents linear programming neural networks for job-shop scheduling. The starting times of tasks and constraints are formulated as the linear programming problem. A modified Hopfield neural network is proposed for solving job-shop scheduling.

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PROJECTIVE SYSTEMS WHOSE SUPPORTS CONSIST OF THE UNION OF THREE LINEAR SUBSPACES

  • Kato, Takao;Yamada, Miyako
    • 대한수학회보
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    • 제38권4호
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    • pp.689-699
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    • 2001
  • We discuss the class of projective systems whose supports are the complement of the union of three linear subspaces in general position. We proves these codes are uniquely dtermined up to equivalence by their weight enumerators. Our result is a generalization of the result given in [1].

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무한차원 시스템을 위한 선형 이차상태 궤한 제어기의 견인성에 관한 연구 (On Robustness of Linear Quadratic State Feedback Regulators for Infinite Dimensional systems)

  • Seo, Jin-Heon
    • 대한전기학회논문지
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    • 제37권7호
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    • pp.490-497
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    • 1988
  • This paper is concerned with the robust stability of linear quadratic state feedback regulators for infinite dimensional systems in the presence of system uncertainties Several robustness results ensuring the asymptoitc stability and exponential stability of the perturbed closed loop system are derived for a class of nonlinear perturbations of the system and input operators satisfying the matching condition. For the case where the input space is finite dimensional, some robust properties of the state feedback regulator designed on the basis of the linear quadratic regulator for finite dimensional unstable modes are also discussed seperately.

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