• Title/Summary/Keyword: State space equation model

검색결과 145건 처리시간 0.025초

Fuzzy control for geometrically nonlinear vibration of piezoelectric flexible plates

  • Xu, Yalan;Chen, Jianjun
    • Structural Engineering and Mechanics
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    • 제43권2호
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    • pp.163-177
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    • 2012
  • This paper presents a LMI(linear matrix inequality)-based fuzzy approach of modeling and active vibration control of geometrically nonlinear flexible plates with piezoelectric materials as actuators and sensors. The large-amplitude vibration characteristics and dynamic partial differential equation of a piezoelectric flexible rectangular thin plate structure are obtained by using generalized Fourier series and numerical integral. Takagi-Sugeno (T-S) fuzzy model is employed to approximate the nonlinear structural system, which combines the fuzzy inference rule with the local linear state space model. A robust fuzzy dynamic output feedback control law based on the T-S fuzzy model is designed by the parallel distributed compensation (PDC) technique, and stability analysis and disturbance rejection problems are guaranteed by LMI method. The simulation result shows that the fuzzy dynamic output feedback controller based on a two-rule T-S fuzzy model performs well, and the vibration of plate structure with geometrical nonlinearity is suppressed, which is less complex in computation and can be practically implemented.

시간지연시스템의 균형화된 모델차수 축소 (A Balanced Model Reduction for Linear Delayed Systems)

  • 유석환
    • 전자공학회논문지SC
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    • 제40권5호
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    • pp.326-332
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    • 2003
  • 본 연구에서는 상태변수에 시변 시간지연을 가진 선형시스템의 모델 차수축소를 취급한다. 이를 위하여 시간지연 시스템의 일반화 가제어성/가관측성 그래미안을 선형행렬 부등식의 해를 이용하여 정의하고 균형화된 상태공간 구현을 정의한다. 균형화된 상태공간 구현으로부터 상태변수론 절삭하여 차수축소된 시간지연 시스템을 구하고 모델 축소오차의 상한치를 제시한다. 수치예를 통하여 제시된 방법의 효용성을 입증한다.

항공기 세로 동특성 해석을 위한 시뮬레이터 설계 (The Simulator Design for the Analysis of Aircraft Longitudinal Dynamic Characteristics)

  • 윤선주
    • 한국컴퓨터산업학회논문지
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    • 제7권4호
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    • pp.427-436
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    • 2006
  • 운동하는 물체의 동특성 해석을 위한 상태 공간 모델 방식이 컴퓨터에 의한 미분방정식 해석의 수학적인 도구로서 도입되었다. 시스템 표현이 간단한 행렬 연산 형태로 이루어지므로 선형 및 비선형, 시변 및 시불변 시스템과 단변수 및 다변수 시스템 등에 대하여 통일된 방식의 모델이 사용가능하다. 그리고 이러한 상태 공간 모델을 해석하기위해서는 복잡한 벡터 연산을 하여야 하지만 패킷 소프트웨어의 특정함수를 사용하여 쉽게 해석할 수가 있다. 그러나 최근에는 상용 프로그램의 발전에 따라 동특성 해석을 위한 상태 공간 모델을 대화형 도형 처리를 하여 매우 간단하게 동특성을 시뮬레이션 할 수 있는 방법이 제공되고 있다. 본 논문은 운동하는 물체의 동특성 해석을 하는 데 교육용으로 활용할 수 있는 시뮬레이터를 개발하는 목적으로 항공기의 세로 동특성 해석을 위한 시뮬레이션을 수행하고자 하였으며 항공기 세로 안정성에 대한 과도응답 특성을 해석하는 시뮬레이터를 설계하였다.

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정상 해석 기반의 데이터베이스를 이용한 TST 비행체의 분리 궤도 예측 (PREDICTION OF SEPARATION TRAJECTORY FOR TSTO LAUNCH VEHICLE USING DATABASE BASED ON STEADY STATE ANALYSIS)

  • 조재현;안상준;권오준
    • 한국전산유체공학회지
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    • 제19권2호
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    • pp.86-92
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    • 2014
  • In this paper, prediction of separation trajectory for Two-stage-To-Orbit space launch vehicle has been numerically simulated by using an aerodynamic database based on steady state analysis. Aerodynamic database were obtained for matrix of longitudinal and vertical positions. The steady flow simulations around the launch vehicle have been made by using a 3-D RANS flow solver based on unstructured meshes. For this purpose, a vertex-centered finite-volume method was adopted to discretize inviscid and viscous fluxes. Roe's finite difference splitting was utilized to discretize the inviscid fluxes, and the viscous fluxes were computed based on central differencing. To validate this flow solver, calculations were made for the wind-tunnel experiment model of the LGBB TSTO vehicle configuration on steady state conditions. Aerodynamic database was constructed by using flow simulations based on test matrix from the wind-tunnel experiment. ANN(Artificial Neural Network) was applied to construct interpolation function among aerodynamic variables. Separation trajectory for TSTO launch vehicle was predicted from 6-DOF equation of motion based on the interpolated function. The result of present separation trajectory calculation was compared with the trajectory using experimental database. The predicted results for the separation trajectory shows fair agreement with reference[4] solution.

Model Reference Adaptive Control of a Flexible Structure

  • Yang, Kyung-Jinn;Hong, Keum-Shik;Rhee, Eun-Jun;Yoo, Wan-Suk
    • Journal of Mechanical Science and Technology
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    • 제15권10호
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    • pp.1356-1368
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    • 2001
  • In this paper, the model reference adaptive control (MRAC) of a flexible structure is investigated. Any mechanically flexible structure is inherently distributed parameter in nature, so that its dynamics are described by a partial, rather than ordinary, differential equation. The MRAC problem is formulated as an initial value problem of coupled partial and ordinary differential equations in weak form. The well-posedness of the initial value problem is proved. The control law is derived by using the Lyapunov redesign method on an infinite dimensional filbert space. Uniform asymptotic stability of the closed loop system is established, and asymptotic tracking, i. e., convergence of the state-error to zero, is obtained. With an additional persistence of excitation condition for the reference model, parameter-error convergence to zero is also shown. Numerical simulations are provided.

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STABILITYANALYSIS OF LINGUISTIC FUZZY MODEL SYSTEMS IN STATESPACE

  • Kim, Won C.;Woo
    • 한국지능시스템학회:학술대회논문집
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    • 한국퍼지및지능시스템학회 1993년도 Fifth International Fuzzy Systems Association World Congress 93
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    • pp.953-955
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    • 1993
  • In this paper we propose a new stability theorem and a robust stability condition for linguistic fuzzy model systems in state space. First we define a stability in linear sense. After representing the fuzzy model by a system with disturbances, A necessary and sufficient condition for the stability is derived. This condition is proved to be a sufficient condition of the fuzzy model. The Q in the Lyapunov equation is iteratively adjusted by an gradient-based algorithm to improve its stability test. Finally, stability robustness bounds of a system having modeling error is derived. An example is also included to show that the stability test is powerful.

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ER밸브를 이용한 자동 하역 시스템의 제어 (II) -하역시스템의 모델링 및 제어- (Control of Automatic Cargo Handling System Using ER Valves (II) -Modeling and Control of Cargo Handling System-)

  • 성금길;정달도;최승복
    • 한국정밀공학회지
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    • 제18권9호
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    • pp.53-60
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    • 2001
  • This paper presents a position control of a platform at the seaport cargo handling system. After brief description of the operating principles of the cargo handling system, the governing equation of the moving platform is derived. The equation is described in the state space model, and a robust H$_{\infty}$ controller to achieve position tracking of the moving platform. which can carry 200ton of containers, is formulated. In the synthesis of the controller, the weight of the container is treated as uncertain parameter. Both regulating and tracking control responses are analyzed for the loading and unloading procedures of the proposed automatic cargo handling system.

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Registration of Aerial Image with Lines using RANSAC Algorithm

  • Ahn, Y.;Shin, S.;Schenk, T.;Cho, W.
    • 한국측량학회지
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    • 제25권6_1호
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    • pp.529-536
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    • 2007
  • Registration between image and object space is a fundamental step in photogrammetry and computer vision. Along with rapid development of sensors - multi/hyper spectral sensor, laser scanning sensor, radar sensor etc., the needs for registration between different sensors are ever increasing. There are two important considerations on different sensor registration. They are sensor invariant feature extraction and correspondence between them. Since point to point correspondence does not exist in image and laser scanning data, it is necessary to have higher entities for extraction and correspondence. This leads to modify first, existing mathematical and geometrical model which was suitable for point measurement to line measurements, second, matching scheme. In this research, linear feature is selected for sensor invariant features and matching entity. Linear features are incorporated into mathematical equation in the form of extended collinearity equation for registration problem known as photo resection which calculates exterior orientation parameters. The other emphasis is on the scheme of finding matched entities in the aide of RANSAC (RANdom SAmple Consensus) in the absence of correspondences. To relieve computational load which is a common problem in sampling theorem, deterministic sampling technique and selecting 4 line features from 4 sectors are applied.

무인항공기 임무장비용 압전 마운트 시스템의 진동 제어 성능 평가 (Evaluation of Vibration Control Performance of Camera Mount System for UAV)

  • 오종석;손정우;최승복
    • 한국소음진동공학회:학술대회논문집
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    • 한국소음진동공학회 2009년도 추계학술대회 논문집
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    • pp.407-412
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    • 2009
  • In the present work, vibration control performance of active camera mount system for unmanned aero vehicle (UAV) is evaluated. An active mount featuring inertia type of piezostack actuator is designed and manufactured. Then, vibration control performances are experimentally evaluated. A camera mount system with four active mounts is constructed and mechanical model is established. The governing equation for the camera mount system is obtained and control model is constructed in state space model. Sliding mode controller which has inherent robustness to external disturbance is designed and implemented to the system. Vibration control performances are evaluated at each mount and center of gravity point. Effective vibration performances are obtained and presented in time and frequency domains.

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무인항공기 임무장비용 압전 마운트 시스템의 진동 제어 성능 평가 (Evaluation of Vibration Control Performance of Camera Mount System for UAV)

  • 오종석;손정우;최승복
    • 한국소음진동공학회논문집
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    • 제19권12호
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    • pp.1315-1321
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    • 2009
  • In the present work, vibration control performance of active camera mount system for unmanned aero vehicle(UAV) is evaluated. An active mount featuring inertia type of piezostack actuator is designed and manufactured. Then, vibration control performances are experimentally evaluated. A camera mount system with four active mounts is constructed and mechanical model is established. The governing equation for the camera mount system is obtained and control model is constructed in state space model. Sliding mode controller which has inherent robustness to external disturbance is designed and implemented to the system. Vibration control performances are evaluated at each mount and center of gravity point. Effective vibration performances are obtained and presented in time and frequency domains.