• 제목/요약/키워드: Lyapunov Theory

검색결과 308건 처리시간 0.025초

Speed Control for a PMSM Servo System Using Model Reference Adaptive Control and an Extended State Observer

  • Li, Xiaodi;Li, Shihua
    • Journal of Power Electronics
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    • 제14권3호
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    • pp.549-563
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    • 2014
  • In this paper, the speed regulation problem of permanent synchronous motor (PMSM) systems under the vector control framework is studied. A model reference adaptive controller (MRAC) based on the Lyapunov stability theory is first designed. Since the standard MRAC method provides poor disturbance rejection performance in the case of strong disturbances, a composite control method which combines the MRAC method and the disturbance estimation method, called the MRAC+ESO method, is proposed. An extended state observer (ESO) is introduced to estimate the lumped disturbances. The obtained estimated value acts as a feedforward compensation term to the MRAC controller. A stability analysis of the composite control method is given. Simulation and experimental results are presented and compared to show the effectiveness of the proposed control method.

RBFN을 이용한 로봇 매뉴퓰레이터의 실시간 제어 (The Neuro-Adaptive Control of Robotic Manipulators using RBFN)

  • 김정대;이민중;최영규;김성신
    • 대한전기학회:학술대회논문집
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    • 대한전기학회 1999년도 하계학술대회 논문집 G
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    • pp.2992-2994
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    • 1999
  • This paper investigates the direct adaptive control of nonlinear systems using RBFN(radial basis function networks). The structure of the controller consists of a fixed PD controller and a RBFN controller in parallel. An adaptation law for the weight adjustment is developed based on the Lyapunov stability theory to guarantee the stability of the overall control scheme. Also, the tracking errors between the system outputs and the desired outputs converge to zero asymptotically. To evaluate the performance of the controller, the proposed method is applied to the trajectory control of the two-link manipulator.

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센서리스 유도전동기를 위한 개선된 적응 슬라이딩 모드 관측기의 설계 (Design of Adaptive Sliding Observer for Sensorless Induction Motor Drive)

  • 김상민;한우용;김성중;이창구
    • 대한전기학회:학술대회논문집
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    • 대한전기학회 2003년도 하계학술대회 논문집 B
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    • pp.1138-1141
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    • 2003
  • This paper proposes a new speed and flux estimation method which has the robustness against the variation of the electrical parameters of the motor and the superiority in the dynamic characteristics compared with the conventional sensorless schemes. In the proposed method, the stator currents and the rotor fluxes are observed on the stationary reference frame using the sliding mode concept. And the rotor speed is estimated using the current estimation errors and the observed rotor fluxes based on the Lyapunov stability theory. Also a design method of the observer gain is proposed to minimize the effect of the speed estimation error on the rotor flux observation. The experimental results verified that the proposed method shows more robust and improved performances than the previous estimation method under the variations of motor resistance and inductance.

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로보트 메니플레이터의 목표궤적 추종을 위한 학습제어기 구현 (A Learning Controller Implementation for Robot Manipulators to track the desired trajectory)

  • 조형기;길진수;홍석교
    • 대한전기학회:학술대회논문집
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    • 대한전기학회 1996년도 추계학술대회 논문집 학회본부
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    • pp.386-388
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    • 1996
  • This paper presents the learning controller for robot manipulators to track the desired trajectory exactly. The learning controller, based on the Lyapunov theory, consists of a fixed PD action and a repetitive action for the purpose of feedforward compensation which is adjusted utilizing a linear combination of the velocity and position errors. The learning controller Is often used In case of the desired trajectories are periodic tasks, and has advantage that it periodically converges to zero even if we don't know the exact dynamic parameters. In this paper, we show that the position and velocity errors of robot manipulators converge to zero sa time goes infinite for the input is periodic function and show a good trajectory tracking performance In the cartesian space.

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미지의 방향성을 갖는 불확실한 스위치드 순궤환 시스템의 추종 제어를 위한 강인 저 복잡성 설계 (Robust Low-complexity Design for Tracking Control of Uncertain Switched Pure-feedback Systems with Unknown Control Direction)

  • 이승우;유성진
    • 전기학회논문지
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    • 제66권1호
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    • pp.153-158
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    • 2017
  • This paper investigates a robust low-complexity design problem for tracking control of uncertain switched pure-feedback systems in the presence of unknown control direction. The completely unknown non-affine nonlinearities are assumed to be arbitrarily switched. By combining the nonlinear error transformation technique and Nussbaum-type functions, a robust tracking controller is designed without using any adaptive function approximators. Thus, compared with existing results, the proposed control scheme has the low-complexity property. From Lyapunov stability theory, it is shown that the tracking error remains within the preassigned transient and steady-state error bounds.

비선형 제어 시스템의 샘플치 퍼지 추적 제어 (Sampled-data Fuzzy Tracking Control of Nonlinear Control Systems)

  • 김한솔;박진배;주영훈
    • 전기학회논문지
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    • 제66권1호
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    • pp.159-164
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    • 2017
  • In this paper, we propose a method of designing the sampled-data tracking controller for nonlinear systems expressed by the Takagi-Sugeno (T-S) fuzzy model. A sufficient condition that asymptotically stabilizes the state error between the linear reference model and the T-S fuzzy model is derived in terms of linear matrix inequalities. To this end, error dynamics are constructed, and the exact discretization method and the Lyapunov stability theory are employed in this paper. Finally, we validate the proposed method through the simulation example.

시변 시간지연을 가지는 입력제한 시스템의 모델예측제어 (Model Predictive Control for Input Constrained Systems with Time-varying Delay)

  • 이상문
    • 전기학회논문지
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    • 제61권7호
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    • pp.1019-1023
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    • 2012
  • This paper considers a model predictive control problem of discrete-time constrained systems with time-varying delay. For this problem, a delay dependent state feedback control approach is used to achieve asymptotic stabilization of systems with input constraints. Based on Lyapunov stability theory, a new stability condition is obtained via linear matrix inequality formulation to find cost monotonicity condition of the model predictive control algorithm which guarantee the closed loop stability. Finally, the proposed method is applied to a numerical example in order to show the effectiveness of our results.

모델 불확실성과 외란이 있는 이동 로봇을 위한 적응 슬라이딩 모드 제어 (Adaptive Sliding Mode Control for Nonholonomic Mobile Robots with Model Uncertainty and External Disturbance)

  • 박봉석;최윤호;박진배
    • 대한전기학회:학술대회논문집
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    • 대한전기학회 2007년도 제38회 하계학술대회
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    • pp.1644-1645
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    • 2007
  • This paper proposes an adaptive sliding mode control method for trajectory tracking of nonholonomic mobile robots with model uncertainties and external disturbances. The kinematic model represented by polar coordinates are considered to design a robust control system. Wavelet neural networks (WNNs) are employed to approximate arbitrary model uncertainties in dynamics of the mobile robot. From the Lyapunov stability theory, we derive tuning algorithms for all weights of WNNs and prove that all signals of an adaptive closed-loop system are uniformly ultimately bounded.

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안정 적응 퍼지 제어기를 이용한 박판 주조 공정에서의 용강 높이 제어 (Molten steel level control of strip casting process using stable adaptive fuzzy control scheme)

  • 주문갑;이대성;김윤하
    • 대한전기학회:학술대회논문집
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    • 대한전기학회 2001년도 하계학술대회 논문집 D
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    • pp.1929-1931
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    • 2001
  • An adaptive fuzzy logic controller to regulate molten steel level in the strip casting process is presented, where parameters of fuzzy controllers are adapted stably by using Lyapunov-stability theory and a switching controller is used together to deal with the approximation error of fuzzy logic system. The level error is proven to converge to zero asymptotically. In the simulation, the clogging/unclogging of a stopper nozzle is considered and overcome by the proposed controller. Robustness to uncertainty is shown to be superior to conventional PI controller.

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적응백스테핑기법을 이용한 비선형시스템 강인제어 (Robust Control of Nonlinear System using Adaptive Backstepping Technique)

  • 현근호;김동헌;김응석;김홍필;양해원
    • 대한전기학회:학술대회논문집
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    • 대한전기학회 2001년도 하계학술대회 논문집 D
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    • pp.2087-2088
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    • 2001
  • In this paper we presents a speed controller for permanent magnet synchronous motor using adaptive backstepping technique. The adaptive backstepping technique takes system nonlinearity into account in the control system design stage. The proposed control and adaptive law is proved to be asymptotically stable by the Lyapunov stability theory.

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