• 제목/요약/키워드: Lyapunov stability theorem

검색결과 129건 처리시간 0.023초

Robust Recurrent Wavelet Interval Type-2 Fuzzy-Neural-Network Control for DSP-Based PMSM Servo Drive Systems

  • El-Sousy, Fayez F.M.
    • Journal of Power Electronics
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    • 제13권1호
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    • pp.139-160
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    • 2013
  • In this paper, an intelligent robust control system (IRCS) for precision tracking control of permanent-magnet synchronous motor (PMSM) servo drives is proposed. The IRCS comprises a recurrent wavelet-based interval type-2 fuzzy-neural-network controller (RWIT2FNNC), an RWIT2FNN estimator (RWIT2FNNE) and a compensated controller. The RWIT2FNNC combines the merits of a self-constructing interval type-2 fuzzy logic system, a recurrent neural network and a wavelet neural network. Moreover, it performs the structure and parameter-learning concurrently. The RWIT2FNNC is used as the main tracking controller to mimic the ideal control law (ICL) while the RWIT2FNNE is developed to approximate an unknown dynamic function including the lumped parameter uncertainty. Furthermore, the compensated controller is designed to achieve $L_2$ tracking performance with a desired attenuation level and to deal with uncertainties including approximation errors, optimal parameter vectors and higher order terms in the Taylor series. Moreover, the adaptive learning algorithms for the compensated controller and the RWIT2FNNE are derived by using the Lyapunov stability theorem to train the parameters of the RWIT2FNNE online. A computer simulation and an experimental system are developed to validate the effectiveness of the proposed IRCS. All of the control algorithms are implemented on a TMS320C31 DSP-based control computer. The simulation and experimental results confirm that the IRCS grants robust performance and precise response regardless of load disturbances and PMSM parameters uncertainties.

Sensorless Control of Induction Motor Drives Using an Improved MRAS Observer

  • Kandoussi, Zineb;Boulghasoul, Zakaria;Elbacha, Abdelhadi;Tajer, Abdelouahed
    • Journal of Electrical Engineering and Technology
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    • 제12권4호
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    • pp.1456-1470
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    • 2017
  • This paper presents sensorless vector control of induction motor drives with an improved model reference adaptive system observer for rotor speed estimation and parameters identification from measured stator currents, stator voltages and estimated rotor fluxes. The aim of the proposed sensorless control method is to compensate simultaneously stator resistance and rotor time constant variations which are subject of large changes during operation. PI controllers have been used in the model reference adaptive system adaptation mechanism and in the closed loops of speed and currents regulation. The stability of the proposed observer is proved by the Lyapunov's theorem and its feasibility is verified by experimentation. The experimental results are obtained with an 1 kW induction motor using Matlab/Simulink and a dSPACE system with DS1104 controller board showing the effectiveness of the proposed approach in terms of dynamic performance.

신경회로망을 이용한 헬리콥터 적응 비선형 제어 (Adaptive Nonlinear Control of Helicopter Using Neural Networks)

  • 박범진;홍창호;석진영
    • 한국항공우주학회지
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    • 제32권4호
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    • pp.24-33
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    • 2004
  • 본 논문에서는 광범위한 비선형 함수 근사 성질을 갖고 있는 온라인 적응 신경회로망을 이용하여 헬리콥터 비행 제어 시스템을 설계하였다. 기존의 시스템 모델링 오차를 보상하는 방식과는 달리, 시스템의 입출력 정보를 통해 피드백 선형화 기법에서 필요한 두 개의 비선형 함수를 신경회로망을 이용하여 대체하는 방법을 적용하였다. 두 개의 비선형 함수를 신경회로망으로 대체하여 구성된 폐회로 시스템의 추적 성능과 내부 안정성을 보장하기 위하여 신경회로망의 가중치 학습 방법을 리야프노프 함수를 이용하여 유도하였다. 그리고 헬리콥터 저속 비행 모드에 대한 수치 시뮬레이션 결과를 통해 신경회로망을 적용한 제어 시스템의 성능을 검증하였다.

퍼지 슬라이딩 모드의 속도 향상을 위한 제어기 설계 (Fuzzy sliding mode controller design for improving the learning rate)

  • 황은주;조영완;김은태;박민용
    • 한국지능시스템학회논문지
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    • 제16권6호
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    • pp.747-752
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    • 2006
  • 본 논문에서는 두 개의 시스템으로 구성된 적응 퍼지 슬라이딩 모드 제어기의 설계를 제안한다. 제안한 슬라이딩 모드 제어기는 두 개의 시스템입력으로 구성된다. 기존의 슬라이딩 모드 제어기는 $approximation{\^{u}}(t)$에 불연속항 sgn함수나 sat함수를 추가하여 상태궤적을 sliding surface로 보내는 제어 기법을 사용하고 있다. 본 논문에서는 이러한 기존의 제어기에 또 하나의 불연속항 제어기를 추가하여 불확실한 제어 이득에 의한 disturbance를 줄여주고, 불확실한 외란에 강인한 제어기설계와 알지 못하는 실제 비선형 시스템과 퍼지 시스템 간의 오차에 의한 불안정성도 해결할 수 있는 제어기를 제안하였다. 또한 본 논문에서는 Fuzzy tuning을 통해 슬라이딩 조건을 가변화함으로써 기존의 슬라이딩 모드 제어기에 비해 빠르고 정확하게 추종 가능하도록 제어기의 성능을 향상시킨다. 기존의 슬라이딩 모드 제어방식에서는 ${\eta}$값을 임의의 양의 상수로 두고 설계를 하였다. 하지만 이러한 방식은 높은 overshoot를 발생하게 하거나 늦은 정정시간을 갖게 하였다. 이를 해결하기 위하여 본 논문에서는 state의 각 상황에 맞는 ${\eta}$값을 fuzzy tuning을 통하여 유도해 내어 overshoot를 줄이며 동시에 정정시간도 줄여 제어성능을 높이는 방법을 제안한다.

자기 회귀 웨이블릿 신경 회로망을 이용한 다이나믹 시스템의 동정: 적응 학습률 기반 수렴성 분석 (Identification of Dynamic Systems Using a Self Recurrent Wavelet Neural Network: Convergence Analysis Via Adaptive Learning Rates)

  • 유성진;최윤호;박진배
    • 제어로봇시스템학회논문지
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    • 제11권9호
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    • pp.781-788
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    • 2005
  • This paper proposes an identification method using a self recurrent wavelet neural network (SRWNN) for dynamic systems. The architecture of the proposed SRWNN is a modified model of the wavelet neural network (WNN). But, unlike the WNN, since a mother wavelet layer of the SRWNN is composed of self-feedback neurons, the SRWNN has the ability to store the past information of the wavelet. Thus, in the proposed identification architecture, the SRWNN is used for identifying nonlinear dynamic systems. The gradient descent method with adaptive teaming rates (ALRs) is applied to 1.am the parameters of the SRWNN identifier (SRWNNI). The ALRs are derived from the discrete Lyapunov stability theorem, which are used to guarantee the convergence of an SRWNNI. Finally, through computer simulations, we demonstrate the effectiveness of the proposed SRWNNI.

미지의 시간지연을 갖는 비선형 시스템의 이산시간 퍼지 출력 궤환 제어 (Discrete-Time Output Feedback Control of Nonlinear Systems with Unknown Time-Delay : Fuzzy Logic Approach)

  • 신현석;김은태;박민용
    • 제어로봇시스템학회논문지
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    • 제9권5호
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    • pp.374-378
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    • 2003
  • A new discrete-time fuzzy output feedback control method for nonlinear systems with unknown time-delay is proposed. Ma et al. proposed an analysis and design method of fuzzy controller and observer and Cao et al. extend this result to be applicable fir the nonlinear systems with known time-delay. For the case of unknown time-delay, we derive the sufficient condition f3r the asymptotic stability of the equilibrium Point by applying Lyapunov-Krasovskii theorem and convert this condition into the LMI problem.

Direct Adaptive Fuzzy Control with Less Restrictions on the Control Gain

  • Phan, Phi Anh;Gale, Timothy J.
    • International Journal of Control, Automation, and Systems
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    • 제5권6호
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    • pp.621-629
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    • 2007
  • In the adaptive fuzzy control field for affine nonlinear systems, there are two basic configurations: direct and indirect. It is well known that the direct configuration needs more restrictions on the control gain than the indirect configuration. In general, these restrictions are difficult to check in practice where mathematical models of plant are not available. In this paper, using a simple extension of the universal approximation theorem, we show that the only required constraint on the control gain is that its sign is known. The Lyapunov synthesis approach is used to guarantee the stability and convergence of the closed loop system. Finally, examples of an inverted pendulum and a magnet levitation system demonstrate the theoretical results.

모델 불확실성을 가지는 로봇 시스템을 위한 지능형 슬라이딩 모드 제어 (Intelligent Sliding Mode Control for Robots Systems with Model Uncertainties)

  • 유성진;최윤호;박진배
    • 제어로봇시스템학회논문지
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    • 제14권10호
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    • pp.1014-1021
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    • 2008
  • This paper proposes an intelligent sliding mode control method for robotic systems with the unknown bound of model uncertainties. In our control structure, the unknown bound of model uncertainties is used as the gain of the sliding controller. Then, we employ the function approximation technique to estimate the unknown nonlinear function including the width of boundary layer and the uncertainty bound of robotic systems. The adaptation laws for all parameters of the self-recurrent wavelet neural network and those for the reconstruction error compensator are derived from the Lyapunov stability theorem, which are used for an on-line control of robotic systems with model uncertainties and external disturbances. Accordingly, the proposed method can not only overcome the chattering phenomenon in the control effort but also have the robustness regardless of model uncertainties and external disturbances. Finally, simulation results for the five-link biped robot are included to illustrate the effectiveness of the proposed method.

Adaptive Control of Switched Reluctance Motor Drives under Variable Torque Applications

  • Namazi, Mohammad Masoud;Rashidi, Amir;Koofigar, Hamidreza;Saghaiannejad, Seyed Morteza;Ahn, Jin-Woo
    • Journal of Electrical Engineering and Technology
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    • 제12권1호
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    • pp.134-144
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    • 2017
  • This paper presents an adaptive control strategy for the speed control of a four-phase switched reluctance motor (SRM) in automotive applications. The main objective is to minimize the torque ripples, despite the unstructured uncertainties, time-varying parameters and external load disturbances. The bound of perturbations is not required to be known in the developing of the proposed adaptive-based control method. In order to achieve a smooth control effort, some properties are incorporated and the proposed control algorithm is constructed using the Lyapunov theorem where the closed-loop stability and robust tracking are ensured. The effectiveness of the proposed controller in rejecting high perturbed load torque with smooth control effort is verified with comparing of an adaptive sliding mode control (ASMC) and validated with experimental results.

적응 슬라이딩 관측기를 이용한 매입형 영구자석 동기전동기의 센서리스 제어 (Sensorless control of IPMSM using an adaptive sliding mode observer)

  • 김원석;강형석;김영석
    • 대한전기학회:학술대회논문집
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    • 대한전기학회 2006년도 춘계학술대회 논문집 전기기기 및 에너지변환시스템부문
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    • pp.216-218
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    • 2006
  • In this paper, a new sensorless control based on an adaptive sliding mode observer is proposed for the interior permanent magnet synchronous motor(IPMSM) drives. With using voltage equation only, the adaptive sliding mode observer was investigated. The proposed adaptive sliding mode observer is applied to overcome the problem caused by using the dynamic equation. Furthermore, the Lyapunov theorem is used to prove the system stability included speed estimate and speed control. The effectiveness of the proposed algorithm is confirmed by the experiments.

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