• 제목/요약/키워드: uncertain

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Utkin 정리의 단일입력 불확실 선형 시스템에 대한 증명 (A Poof of Utkin's Theorem for a SI Uncertain Linear Case)

  • 이정훈
    • 전자공학회논문지SC
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    • 제48권6호
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    • pp.8-14
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    • 2011
  • 본 연구에서는 불확실 단일 입력 시스템의 경우에 대하여 Utkin 정리의 증명을 제시한다. 소위 두가지의 대각화 방법(Diagonalization Method)이라 불리는 Utkin 정리의 두 변환 방법에 대한 불변 정리를 비교적으로 분명히 증명한다. 슬라이딩모드의 수식 즉 슬라이딩 면은 두가지 대각화 변환에 대하여 변화 없고 두 인가된 제어입력은 같은 이득을 갖는다. 두가지 대각화 방법에 의하여 같은 결과를 얻는다. 설계 예와 시뮬레이션 연구를 통하여 제안된 결과의 효용성을 입증한다.

Probabilistic structural damage detection approaches based on structural dynamic response moments

  • Lei, Ying;Yang, Ning;Xia, Dandan
    • Smart Structures and Systems
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    • 제20권2호
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    • pp.207-217
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    • 2017
  • Because of the inevitable uncertainties such as structural parameters, external excitations and measurement noises, the effects of uncertainties should be taken into consideration in structural damage detection. In this paper, two probabilistic structural damage detection approaches are proposed to account for the underlying uncertainties in structural parameters and external excitation. The first approach adopts the statistical moment-based structural damage detection (SMBDD) algorithm together with the sensitivity analysis of the damage vector to the uncertain parameters. The approach takes the advantage of the strength SMBDD, so it is robust to measurement noise. However, it requests the number of measured responses is not less than that of unknown structural parameters. To reduce the number of measurements requested by the SMBDD algorithm, another probabilistic structural damage detection approach is proposed. It is based on the integration of structural damage detection using temporal moments in each time segment of measured response time history with the sensitivity analysis of the damage vector to the uncertain parameters. In both approaches, probability distribution of damage vector is estimated from those of uncertain parameters based on stochastic finite element model updating and probabilistic propagation. By comparing the two probability distribution characteristics for the undamaged and damaged models, probability of damage existence and damage extent at structural element level can be detected. Some numerical examples are used to demonstrate the performances of the two proposed approaches, respectively.

An iterative learning and adaptive control scheme for a class of uncertain systems

  • Kuc, Tae-Yong;Lee, Jin-S.
    • 제어로봇시스템학회:학술대회논문집
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    • 제어로봇시스템학회 1990년도 한국자동제어학술회의논문집(국제학술편); KOEX, Seoul; 26-27 Oct. 1990
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    • pp.963-968
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    • 1990
  • An iterative learning control scheme for tracking control of a class of uncertain nonlinear systems is presented. By introducing a model reference adaptive controller in the learning control structure, it is possible to achieve zero tracking of unknown system even when the upperbound of uncertainty in system dynamics is not known apriori. The adaptive controller pull the state of the system to the state of reference model via control gain adaptation at each iteration, while the learning controller attracts the model state to the desired one by synthesizing a suitable control input along with iteration numbers. In the controller role transition from the adaptive to the learning controller takes place in gradually as learning proceeds. Another feature of this control scheme is that robustness to bounded input disturbances is guaranteed by the linear controller in the feedback loop of the learning control scheme. In addition, since the proposed controller does not require any knowledge of the dynamic parameters of the system, it is flexible under uncertain environments. With these facts, computational easiness makes the learning scheme more feasible. Computer simulation results for the dynamic control of a two-axis robot manipulator shows a good performance of the scheme in relatively high speed operation of trajectory tracking.

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불확실한 상태 천이를 가진 입력/상태 비동기 머신을 위한 견실 제어 (Robust Control of Input/state Asynchronous Machines with Uncertain State Transitions)

  • 양정민
    • 전자공학회논문지SC
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    • 제46권4호
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    • pp.39-48
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    • 2009
  • 전역 클럭 없이 동작하는 비동기 순차 머신은 동기 순차 머신에 비해서 속도나 에너지 소비 면에서 장점을 지닌다. 본 논문에서는 불확실한 상태 천이를 가지는 입력/상태 비동기 머신을 위한 견실 제어기를 제안한다. 논문에서 고려하는 비동기 머신은 모델 불확실성, 내부 고장 등으로 인해서 일부 영역의 상태 천이 함수가 불확실하다. 이번 연구에서는 이러한 비동기 머신을 표현하는 유한 상태 머신 식을 제안한 후 일반화된 도달가능성 행렬을 이용하여 머신의 폐루프 동작이 주어진 정상적인 모델의 동작과 일치하도록 하는 비동기 제어기가 존재할 조건을 규명한다. 또한 기존 연구 결과를 바탕으로 비동기 제어기의 설계 과정을 기술하고 폐루프 시스템의 안정 상태 동작을 분석한다.

윤곽선 재조정을 통한 의미 있는 객체 추적 알고리즘 (A Semantic Video Object Tracking Algorithm Using Contour Refinement)

  • 임정은;이재연;나종범
    • 대한전자공학회논문지SP
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    • 제37권6호
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    • pp.1-8
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    • 2000
  • 이 논문은 동영상에서 의미 있는 객체를 추적하기 위해, 첫 번째 프레임에서 사용자가 관심 대상인 객체를 정의하고, 그 다음 프레임부터 자동으로 그 객체를 추적하는 반자동 기법을 제안한다. 제안한 객체 추적 알고리즘은 객체 경계 투영, 불확실 영역 추출, 경계 재조정 단계 등 모두 세 단계로 구성되며, 첫 단계에서는 움직임 추정을 통해 이전 프레임에서 현재 프레임으로 객체를 투영하고, 두 번째 단계는 투영한 결과를 이용하여 윤곽선 부근에서 투영이 불확실한 영역을 MC 오류 및 색채 유사성 검사를 거쳐 추출하며, 마지막으로 투영이 불확실한 영역을 재조정함으로써 정확한 객체의 경계를 찾는다. 모의 실험을 통해 제안한 알고리즘이 기존의 반자동 알고리즘에 비해 다양한 영상에 대해 만족할 만한 결과를 보임을 확인하였다.

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Study on the Dynamic Model and Simulation of a Flexible Mechanical Arm Considering its Random Parameters

  • He Bai-Yan;Wang Shu-Xin
    • Journal of Mechanical Science and Technology
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    • 제19권spc1호
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    • pp.265-271
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    • 2005
  • Randomness exists in engineering. Tolerance, assemble-error, environment temperature and wear make the parameters of a mechanical system uncertain. So the behavior or response of the mechanical system is uncertain. In this paper, the uncertain parameters are treated as random variables. So if the probability distribution of a random parameter is known, the simulation of mechanical multibody dynamics can be made by Monte-Carlo method. Thus multibody dynamics simulation results can be obtained in statistics. A new concept called functional reliability is put forward in this paper, which can be defined as the probability of the dynamic parameters(such as position, orientation, velocity, acceleration etc.) of the key parts of a mechanical multibody system belong to their tolerance values. A flexible mechanical arm with random parameters is studied in this paper. The length, width, thickness and density of the flexible arm are treated as random variables and Gaussian distribution is used with given mean and variance. Computer code is developed based on the dynamic model and Monte-Carlo method to simulate the dynamic behavior of the flexible arm. At the same time the end effector's locating reliability is calculated with circular tolerance area. The theory and method presented in this paper are applicable on the dynamics modeling of general multibody systems.

시간 지연을 갖는 이산 시간 비선형 시스템에 대한 H∞ 퍼지 강인 제어기 설계 (Robust H∞ Fuzzy Control for Discrete-Time Nonlinear Systems with Time-Delay)

  • 김택룡;박진배;주영훈
    • 한국지능시스템학회논문지
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    • 제15권3호
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    • pp.324-329
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    • 2005
  • 본 논문에서는 시간 지연을 갖는 이산 시간 비선형 시스템을 $H\infty$ 의미에서 안정하게 하는 정적 출력 제한 퍼지 제어기 설계를 제시한다. 먼저 대상이 되는 비선형 시스템은 Takagi-Sugeno 퍼지 모델로 표현 되어진다. 그리고 parallel distributed compensation technique을 이용하여 퍼지 제어기의 형태를 만든다. 하나의 Lyapunov 함수를 정하여서 폐루프 시스템의 전역 점근적 안정성과 외란에 대한 강인성을 bilinear matrix inequality 형태로 제시한다. 그리고 합동변환법과 동질성 변환법을 통해 이것을 선형 행렬 부등식 (linear matrix inequality) 으로 표현한다. 제안된 방법의 효율성과 가능성을 보여주기 위해 한 예제를 포함한다.

불확실한 초기치를 갖는 반복시스템에 대한 유한구간 추종제어 (Finite-horizon Tracking Control for Repetitive Systems with Uncertain Initial Condition)

  • 최윤종;윤성욱;이창희;조재영;박부견
    • 대한전기학회:학술대회논문집
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    • 대한전기학회 2007년도 심포지엄 논문집 정보 및 제어부문
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    • pp.297-298
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    • 2007
  • Repetitive systems stand for a kind of systems that perform a simple task on a fixed pattern repetitively and are widely spread in industrial fields. Hence, those systems have been of much interests by many researchers, especially in the field of iterative learning control (ILC). In this paper, we propose a finite-horizon tracking control scheme for linear time-varying repetitive systems with uncertain initial conditions. The scheme is derived both analytically and numerically for state-feedback systems and only numerically for output-feedback systems. Then, it is extended to stable systems with input constraints. All numerical schemes are developed in the forms of linear matrix inequalities. A distinguished feature of the proposed scheme from the existing iterative learning control is that the scheme guarantees the tracking performance exactly even under uncertain initial conditions. The simulation results demonstrate the good performance of the proposed scheme.

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Modal-based mixed vibration control for uncertain piezoelectric flexible structures

  • Xu, Yalan;Qian, Yu;Chen, Jianjun;Song, Gangbing
    • Structural Engineering and Mechanics
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    • 제55권1호
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    • pp.229-244
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    • 2015
  • H-infinity norm relates to the maximum in the frequency response function and H-infinity control method focuses on the case that the vibration is excited at the fundamental frequency, while 2-norm relates to the output energy of systems with the input of pulses or white noises and 2-norm control method weighs the overall vibration performance of systems. The trade-off between the performance in frequency-domain and that in time-domain may be achieved by integrating two indices in the mixed vibration control method. Based on the linear fractional state space representation in the modal space for a piezoelectric flexible structure with uncertain modal parameters and un-modeled residual high-frequency modes, a mixed dynamic output feedback control design method is proposed to suppress the structural vibration. Using the linear matrix inequality (LMI) technique, the initial populations are generated by the designing of robust control laws with different H-infinity performance indices before the robust 2-norm performance index of the closed-loop system is included in the fitness function of optimization. A flexible beam structure with a piezoelectric sensor and a piezoelectric actuator are used as the subject for numerical studies. Compared with the velocity feedback control method, the numerical simulation results show the effectiveness of the proposed method.

Modal-based model reduction and vibration control for uncertain piezoelectric flexible structures

  • Yalan, Xu;Jianjun, Chen
    • Structural Engineering and Mechanics
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    • 제29권5호
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    • pp.489-504
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    • 2008
  • In piezoelectric flexible structures, the contribution of vibration modes to the dynamic response of system may change with the location of piezoelectric actuator patches, which means that the ability of actuators to control vibration modes should be taken into account in the development of modal reduction model. The spatial $H_2$ norm of modes, which serves as a measure of the intensity of modes to system dynamical response, is used to pick up the modes included in the reduction model. Based on the reduction model, the paper develops the state-space representation for uncertain flexible tructures with piezoelectric material as non-collocated actuators/sensors in the modal space, taking into account uncertainties due to modal parameters variation and unmodeled residual modes. In order to suppress the vibration of the structure, a dynamic output feedback control law is designed by imultaneously considering the conflicting performance specifications, such as robust stability, transient response requirement, disturbance rejection, actuator saturation constraints. Based on linear matrix inequality, the vibration control design is converted into a linear convex optimization problem. The simulation results show how the influence of vibration modes on the dynamical response of structure varies with the location of piezoelectric actuators, why the uncertainties should be considered in the reductiom model to avoid exciting high-frequency modes in the non-collcated vibration control, and the possiblity that the conflicting performance specifications are dealt with simultaneously.