• 제목/요약/키워드: Eigenstructure assignment

검색결과 60건 처리시간 0.026초

가제어성 및 외란 가억제성 척도를 고려하는 출력되먹임 고유구조 지정 (Output feedback left eigenstructure assignment considering controllability and disturbance suppressibility measures)

  • 최재원;이장규;김유단;강태삼
    • 제어로봇시스템학회논문지
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    • 제1권2호
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    • pp.71-77
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    • 1995
  • The control effectiveness and disturbance suppressibility are mainly governed by a left eigenstructure of a system. In this paper, a control algorithm which uses an output feedback eigenstructure assignment scheme is proposed in order that a desired closed-loop system has the specified degree of controllability and/or degree of disturbance suppressibility. To do this, a modal and a gross disturbance suppressibility measures are proposed. A modified version of Hamdan and Nayfeh's modal controllability measure is also presented. The validity and usefulness of the proposed measures and the controller design algorithm are illustrated by designing a controller for a third-order system as an example.

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좌 고유구조지정법 기반 결실 고장 분리 필터 설계 및 비행체 시스템에의 응용 (A Robust Fault Isolation Filter Design Based on Left Eigenstructure Assignment and its Application to Flight System)

  • 이대영;최재원
    • 제어로봇시스템학회논문지
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    • 제7권5호
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    • pp.384-392
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    • 2001
  • In this paper, we propose a novel robust fault isolation filter design method using the left eigenstructure assignment scheme proposed by the authors. The proposed method guarantees that the ${\gamma}$ simultaneous faults can be isolated when the number of available outpur measurements is ${\gamma}$. Moreover, if there exist redundant output measurements, the eigenvaluses of te filter system can be assigned to the desired position or the filter can be designed robustly to, the system parameter variation. Liu & Si developed a filter design method which has the same purpose, fault isolation. However their method cannot use the redundant freedom of the output matrix C. The proposed filter can use the redundant freedom of the matrix C effectively. Beside this in this paper, an eigenstructure assignment methodology that satisfies the required fault isolation conditions is also proposed. The proposed fault isolation filter was applied for isolating the simultaneous faults to a VTOL aircraft in order to verify the fault isolation performance.

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항공기 운동분리의 비선형 최적화를 이용한 고유공간지정법의 응용 (Airplane mode decoupling using eigenstructure assignment via non-linear optimization)

  • 이승재;김유단
    • 제어로봇시스템학회:학술대회논문집
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    • 제어로봇시스템학회 1993년도 한국자동제어학술회의논문집(국내학술편); Seoul National University, Seoul; 20-22 Oct. 1993
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    • pp.920-925
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    • 1993
  • For a multi-input, multi-output system, it is widely known that feedback control gain presents extra freedom pole placement problem. An eigenstructure assignment utilizes this freedom for assignment of all or some elements of the closed-loop eigenvectors. In this paper, a nonlinear optimization technique is adopted to obtain a small gain controller that assigns closed-loop eigenvalues and elements of eigenvectors simultaneously. To illustrate the approach, a numerical example of the Airplane mode decoupling using an advanced fighter is shown.

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전차량의 능동 현가 장치 제어를 위한 중복 분산형 견실 고유구조지정 제어기 설계 (Overlapping Decentralized Robust EA Control Design for an Active Suspension System of a Full Car Model)

  • 정용하;최재원;김영호
    • 제어로봇시스템학회:학술대회논문집
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    • 제어로봇시스템학회 2000년도 제15차 학술회의논문집
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    • pp.217-217
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    • 2000
  • A decentralized robust EA(eigensoucture assignment) controller is designed for an active suspension system of a vehicle based on a full car model with 7-degree of freedom. Using overlapping decomposition, the full car model is decentralized by two half car models. For each half car model, a robust eigenstructure assignment controller can be obtained by using optimization approach. The performance of the decentralized robust EA controller is compared with that of a conventional centralized EA controller through computer simulations.

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Frequency Domain Properties of EALQR with Indefinite Weighting Matrix

  • Seo, Young-Bong;Park, Jae-Weon
    • Journal of Mechanical Science and Technology
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    • 제17권3호
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    • pp.329-335
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    • 2003
  • EALQR (Linear Quadratic Regulate. design with Eigenstructure Assignment capability) has the capability of exact assignment of eigenstructure with the guaranteed margins of the LQR for MIMO (Multi-Input Multi-Output) systems. However, EALQR undergoes a restriction on the state-weighting matrix Q in LQR to be indefinite with respect to the region of allowable closedloop eigenvalues. The definiteness of the weighting matrix is closely related to the robustness property of a given system. In this paper, we derive a relation between the indefinite weighting matrix Q and the robustness property for EALQR. The modified frequency domain inequality, that could be guaranteed by EQLQR with an indefinite weighting matrix, is presented.

확률적 불확실성을 갖는 선형 연속 시간 시스템의 고유구조 지정제어 (Eigenstructure Assignment Control for Linear Continuous-Time Systems with Probabilistic Uncertainties)

  • 서영봉;최재원
    • 제어로봇시스템학회논문지
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    • 제10권2호
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    • pp.145-152
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    • 2004
  • In this paper, an S(stochastic)-eigenvalue and its corresponding S-eigenvector concept for linear continuous-time systems with probabilistic uncertainties are proposed. The proposed concept is concerned with the perturbation of eigenvalues due to the stochastic variable parameters in the dynamic model of a plant. An S-eigenstructure assignment scheme via the Sylvester equation approach based on the S-eigenvalue/-eigenvector concept is also proposed. The proposed control design scheme based on the proposed concept is applied to a longitudinal dynamics of an open-loop-unstable aircraft with possible uncertainties in aerodynamic and thrust effects as well as separate dynamic pressure effects. These results explicitly characterize how S-eigenvalues in the complex plane may impose stability on the system.

A Novel Eigenstructure Assignment for Linear Systems with Probabilistic Uncertainties

  • Seo, Y.B.;Choi, J.W.
    • 제어로봇시스템학회:학술대회논문집
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    • 제어로봇시스템학회 2003년도 ICCAS
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    • pp.7-12
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    • 2003
  • In this paper, S(stochastic)-eigenvalue concept and its S-eigenvector for linear continuous-time systems with probabilistic uncertainties are proposed. The proposed concept is concerned with the perturbation of eigenvalues due to the probabilistic variable parameters in the dynamic model of a plant. S-eigenstructure assignment scheme via the Sylvester equation approach based on the S-eigenvalue concept is also proposed. The proposed design scheme is applied to the longitudinal dynamics of open-loop-unstable aircraft with possible uncertainties in aerodynamic and thrust effects as well as separate dynamic pressure.

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외란 억제 및 분리기능을 갖는 고유공간 지정기법 (School of Mechanical Engineering and RIMT,Pusan National University)

  • 최재원;서영봉
    • 한국정밀공학회:학술대회논문집
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    • 한국정밀공학회 1995년도 추계학술대회 논문집
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    • pp.618-621
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    • 1995
  • In this paper, in order to obtain a disturbance decouplable as well as effective and disturbance suppressible controller, a simultaneous assignment methodology of the left and right eigenstructure is proposed. The biorthogonality property between the left and right model matrices of a system as well as the relations between the achievable right model matrix and states selsction matrices are used to develop the methodology. the proposed concurrent eigenstructure assignment methodologh guarantees that the desired eigenvalues are achieved exactly and the desired left and right eigenvectors are assigned to the best possible(achievable) sets of eigenvectors in the least square sense, respectively.

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확률적 견실특성을 고려한 고유구조 지정기법 (Eigenstructure Assignment Methodology Considering Stochastic Robustness Characteristics)

  • 서영봉;최재원
    • 제어로봇시스템학회논문지
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    • 제6권11호
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    • pp.974-980
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    • 2000
  • In this paper, we present a method that has flexibility of exact assignment of eigenstructure with the stochastic robustness for LTI(Linear-Time-Invariant) systems. The stochastic robustness of LTI systems is determined by the probability distributions of closed-loop eigenvalues. The probabilistic stability region is presented stochastically using the Monte Carlo evaluations. The proposed scheme is applied to designing a simple system and a flight control system with stochastic parameter variations to confirm the usefulness of the scheme.

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고유구조지정법을 이용한 유연구조물의 스필오버 억제방법 (A Spillover Suppression Method in a Flexible Structure Using Eigenstructure Assignment)

  • 최재원;박운식
    • 제어로봇시스템학회논문지
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    • 제6권11호
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    • pp.955-962
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    • 2000
  • Although large space structures(LSS) such as a space station, a solar power station satellite, etc., are theoretically distributed parameter and infinite-dimensional systems, they have to be modeled into a lumped parameter and large finite-dimensional system for control system design. Besides, there remains the fundamental problem that the modeled large finite-dimensional system must be controled with a much smaller dimensional controller due to the limitation of computing resources. This causes the spillover phenomenon which degrades control performances and reduces the stability margin. Furthermore, it may destabilize the entire feedback control system. In this paper, we propose a novel spillover suppression method in the active vibration control of large flexible structures by using eigenstructure assignment. Its validity and effectiveness are investigated and verified by the numerical experiments using a simply supported flexible beam, which is modeled to have four controlled modes and eight uncontrolled modes.

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