• 제목/요약/키워드: Linear systems

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시변 시간 지연을 포함하는 선형 뉴트럴 시스템의 관측기 설계 (Observer Design for Linear Neutral Systems with Time-Varying Delays)

  • 송민국;주영훈;박진배
    • 한국지능시스템학회논문지
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    • 제17권4호
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    • pp.483-487
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    • 2007
  • 본 논문은 시변 시간 지연을 가지는 선형 뉴트럴 시스템에 관한 관측기 설계 및 안정도 해석에 관해서 논의한다. 시변 시간 지연을 가지는 선형 뉴트럴 시스템의 안정도를 판별하기 위하여 Lyapunov-Krasovskii의 이론을 도입한다. 오차 상태 방정식의 안정도 조건으로 시간 변동 시간 지연에 종속적인 충분조건을 제시한다. 선형 행렬 부등식의 해를 이용하여 관측기의 이득 값을 설계하며, 설계된 관측기를 이용하여 오차 상태 방정식의 안정도를 판별한다. 본 논문의 결과는 Luenberger가 제안했던 관측기의 일반적인 결과를 나타냄을 확인한다. 모의실험을 통해 제안된 이론을 입증한다.

비선형 편집 소프트웨어의 개선방향 (The Direction of Improvement Non-linear Editing Software)

  • 박성대
    • 한국멀티미디어학회논문지
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    • 제16권8호
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    • pp.972-981
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    • 2013
  • 비선형 편집(Non-linear Editing)이란 전통적인 선형 편집(Linear Editing) 방법과 달리 편집자가 원하는 대로 프레임 사이에 새로운 프레임을 삽입할 수 있는 편집 방법이다. 비선형 편집 시스템이란 이러한 편집방법을 지원하는 시스템으로 하나의 컴퓨터와 편집 소프트웨어 그리고 영상의 입 출력을 담당하는 캡처보드(Capture Board)로 구성된다. 현재 TV방송과 영화제작 과정에서는 이러한 비선형 편집 시스템을 사용하고 있다. 촬영된 영상이나 다양한 그래픽 소스는 비선형 편집 시스템을 통하여 하나의 영상콘텐츠로 제작된다. 본 논문에서는 많은 편집자들이 사용하고 있는 어도비 프리미어(Adobe Premiere)를 중심으로 비선형 편집 소프트웨어의 기능과 영상 편집 과정에서의 장 단점을 살펴보고 앞으로의 비선형 편집 소프트웨어의 개선 방향에 대하여 논의한다.

비선형 주성분해석과 신경망에 기반한 비선형 PLS (Non-linear PLS based on non-linear principal component analysis and neural network)

  • 손정현;정신호;송상옥;윤인섭
    • 제어로봇시스템학회:학술대회논문집
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    • 제어로봇시스템학회 2000년도 제15차 학술회의논문집
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    • pp.394-394
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    • 2000
  • This Paper proposes a new nonlinear partial least square method that extends the linear PLS. Proposed nonlinear PLS uses self-organizing feature map as PLS outer relation and multilayer neural network as PLS inner regression method.

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Robust Stabilization of Uncertain Nonlinear Systems via Fuzzy Modeling and Numerical Optimization Programming

  • Lee Jongbae;Park Chang-Woo;Sung Ha-Gyeong;Lim Joonhong
    • International Journal of Control, Automation, and Systems
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    • 제3권2호
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    • pp.225-235
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    • 2005
  • This paper presents the robust stability analysis and design methodology of the fuzzy feedback linearization control systems. Uncertainty and disturbances with known bounds are assumed to be included in the Takagi-Sugeno (TS) fuzzy models representing the nonlinear plants. $L_2$ robust stability of the closed system is analyzed by casting the systems into the diagonal norm bounded linear differential inclusions (DNLDI) formulation. Based on the linear matrix inequality (LMI) optimization programming, a numerical method for finding the maximum stable ranges of the fuzzy feedback linearization control gains is also proposed. To verify the effectiveness of the proposed scheme, the robust stability analysis and control design examples are given.

Unified Parametric Approaches for Observer Design in Matrix Second-order Linear Systems

  • Wu Yun-Li;Duan Guang-Ren
    • International Journal of Control, Automation, and Systems
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    • 제3권2호
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    • pp.159-165
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    • 2005
  • This paper designs observers for matrix second-order linear systems on the basis of generalized eigenstructure assignment via unified parametric approach. It is shown that the problem is closely related with a type of so-called generalized matrix second-order Sylvester matrix equations. Through establishing two general parametric solutions to this type of matrix equations, two unified complete parametric methods for the proposed observer design problem are presented. Both methods give simple complete parametric expressions for the observer gain matrices. The first one mainly depends on a series of singular value decompositions, and is thus numerically simple and reliable; the second one utilizes the right factorization of the system, and allows eigenvalues of the error system to be set undetermined and sought via certain optimization procedures. A spring-mass system is utilized to show the effect of the proposed approaches.

Kalman Filtering for Linear Time-Delayed Continuous-Time Systems with Stochastic Multiplicative Noises

  • Zhang, Huanshui;Lu, Xiao;Zhang, Weihai;Wang, Wei
    • International Journal of Control, Automation, and Systems
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    • 제5권4호
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    • pp.355-363
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    • 2007
  • The paper deals with the Kalman stochastic filtering problem for linear continuous-time systems with both instantaneous and time-delayed measurements. Different from the standard linear system, the system state is corrupted by multiplicative white noise, and the instantaneous measurement and the delayed measurement are also corrupted by multiplicative white noise. A new approach to the problem is presented by using projection formulation and reorganized innovation analysis. More importantly, the proposed approach in the paper can be applied to solve many complicated problems such as stochastic $H_{\infty}$ estimation, $H_{\infty}$ control stochastic system with preview and so on.

Observer-Based Robust Control Giving Consideration to Transient Behavior for Linear Uncertain Discrete-Time Systems

  • Oya, Hidetoshi;Hagino, Kojiro
    • 제어로봇시스템학회:학술대회논문집
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    • 제어로봇시스템학회 2003년도 ICCAS
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    • pp.903-908
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    • 2003
  • In this paper, we present an observer-based robust controller which achieves not only robust stability but also an performance robustness for linear uncertain discrete-time systems. The performance robustness means that comparing the transient behavior of the uncertain system with a desired one generated by the nominal system, the deterioration of control performance (i.e. the error between the real response and the desired one) is suppressed without excessive control input. The control law consists of a state feedback law for the nominal system and a compensation input given by a feedback form of an estimated error signal. In this paper, we show that conditions for the existence of the observer-based controller are given in terms of linear matrix inequalities (LMIs). Finally, a numerical example is given to illustrate the proposed technique.

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Parametric Approaches for Eigenstructure Assignment in High-order Linear Systems

  • Duan Guang-Ren
    • International Journal of Control, Automation, and Systems
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    • 제3권3호
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    • pp.419-429
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    • 2005
  • This paper considers eigenstructure assignment in high-order linear systems via proportional plus derivative feedback. It is shown that the problem is closely related with a type of so-called high-order Sylvester matrix equations. Through establishing two general parametric solutions to this type of matrix equations, two complete parametric methods for the proposed eigenstructure assignment problem are presented. Both methods give simple complete parametric expressions for the feedback gains and the closed-loop eigenvector matrices. The first one mainly depends on a series of singular value decompositions, and is thus numerically very simple and reliable; the second one utilizes the right factorization of the system, and allows the closed-loop eigenvalues to be set undetermined and sought via certain optimization procedures. An example shows the effect of the proposed approaches.

Optimal Guaranteed Cost Control of Linear Uncertain Systems with Input Constraints

  • Yu Li;Han Qing-Long;Sun Ming-Xuan
    • International Journal of Control, Automation, and Systems
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    • 제3권3호
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    • pp.397-402
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    • 2005
  • The guaranteed cost control problem for a class of linear systems with norm-bounded time-varying parameter uncertainties and input constraints is considered. A sufficient condition for the existence of guaranteed cost state feedback controllers is derived via the linear matrix inequality (LMI) approach, and a design procedure to guaranteed cost controllers is given. Furthermore, a convex optimization problem is formulated to determine the optimal guaranteed cost controller. An example is given to illustrate the effectiveness of the proposed results.

ON DIFFERENTIAL INVARIANTS OF HYPERPLANE SYSTEMS ON NONDEGENERATE EQUIVARIANT EMBEDDINGS OF HOMOGENEOUS SPACES

  • HONG, JAEHYUN
    • 대한수학회논문집
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    • 제30권3호
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    • pp.253-267
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    • 2015
  • Given a complex submanifoldM of the projective space $\mathbb{P}$(T), the hyperplane system R on M characterizes the projective embedding of M into $\mathbb{P}$(T) in the following sense: for any two nondegenerate complex submanifolds $M{\subset}\mathbb{P}$(T) and $M^{\prime}{\subset}\mathbb{P}$(T'), there is a projective linear transformation that sends an open subset of M onto an open subset of M' if and only if (M,R) is locally equivalent to (M', R'). Se-ashi developed a theory for the differential invariants of these types of systems of linear differential equations. In particular, the theory applies to systems of linear differential equations that have symbols equivalent to the hyperplane systems on nondegenerate equivariant embeddings of compact Hermitian symmetric spaces. In this paper, we extend this result to hyperplane systems on nondegenerate equivariant embeddings of homogeneous spaces of the first kind.