• 제목/요약/키워드: Lyapunov theorem

검색결과 138건 처리시간 0.018초

GAFC 비선형 제어기법을 적용한 쿼드로터의 자세 및 고도제어 (Nonlinear Attitude Control for Uncertain Quad-rotors Using a Global Approximation-Free Control Scheme)

  • 김영욱;박성용;이현재
    • 제어로봇시스템학회논문지
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    • 제22권10호
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    • pp.779-787
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    • 2016
  • A nonlinear control law for the quad-rotor of a low-complexity, global approximation-free from system uncertainties and external disturbances are described in this paper. The control law guarantees convergence to a small bounded error using a prescribed performance function. The stability of the proposed nonlinear control system is also proven by the Lyapunov stability theorem. The advantage of this technique is that it has a simpler form than any other nonlinear compensators and is applicable to any nonlinear systems without precise knowledge of the systems. In this paper, the proposed approach is applied to attitude/altitude control of a quad-rotor. Numerical simulations are performed to investigate the proposed nonlinear attitude control law by applying it to an uncertain quadcopter system with external disturbances.

강인 퍼지 이론을 이용한 풍력 터빈의 가변 속도 제어 (Variable Speed Control of Wind Turbines Using Robust Fuzzy Algorithm)

  • 성화창;박진배;주영훈
    • 한국지능시스템학회논문지
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    • 제18권1호
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    • pp.1-6
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    • 2008
  • 본 논문에서는 퍼지 이론을 이용한 풍력 터빈의 변화 속도 제어에 관해 다루고자 한다. 일반적인 풍력 터빈의 변화 속도는 복잡한 비선형성으로 나타내어지며, 플랜트를 구성하는 각 파라미터의 수치 역시 불확실하다. 이와 같은 복잡성을 해결하기 위하여, 우리는 비선형성 및 불확실성에 강인한 퍼지 제어 이론을 제안하고자 한다. 우선 풍력 터빈의 변화 속도에 대한 정확한 퍼지 모델링을 수행하게 된다. 그리고 재해석된 Takagi-Sugeno (T-S) 퍼지 모델에 적합한 제어기를 설계하게 되며, 리아푸노프 안정도에 기반한 시스템의 안정도를 증명하게 된다. 마지막으로, 가상 시뮬레이션을 통해 제안된 기법의 효율성을 입증하게 된다.

PMSM의 정밀 Robust 위치 제어 및 적응형 외란 관측기 적용 연구 (Experimental Results of Adaptive Load Torque Observer and Robust Precision Position Control of PMSM)

  • 고종선;윤성구
    • 대한전기학회논문지:시스템및제어부문D
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    • 제49권3호
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    • pp.117-123
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    • 2000
  • A new control method for precision robust position control of a PMSM (Permanent Magnet Synchronous Motor) using asymptotically stable adaptive load torque observer is presented in the paper. Precision position control is obtained for the PMSM system approximately linearized using the field-orientation method. Recently, many of these drive systems use the PMSM to avoid backlashes. However, the disadvantages of the motor are high cost and complex control because of nonlinear characteristics. Also, the load torque disturbance directly affects the motor shaft. The application of the load torque observer is published in [1] using fixed gain. However, the motor flux linkage is not exactly known for a load torque observer. There is the problem of uncertainty to obtain very high precision position control. Therefore, a model reference adaptive observer is considered to overcome the problem of unknown parameter and torque disturbance in this paper. The system stability analysis is carried out using Lyapunov stability theorem. As a result, asymptotically stable observer gain can be obtained without affecting the overall system response. The load disturbance detected by the asymptotically stable adaptive observer is compensated by feedforwarding the equivalent current which gives fast response. The experimental results are presented in the paper using DSP TMS320c31.

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Robust DTC Control of Doubly-Fed Induction Machines Based on Input-Output Feedback Linearization Using Recurrent Neural Networks

  • Payam, Amir Farrokh;Hashemnia, Mohammad Naser;Fai, Jawad
    • Journal of Power Electronics
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    • 제11권5호
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    • pp.719-725
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    • 2011
  • This paper describes a novel Direct Torque Control (DTC) method for adjustable speed Doubly-Fed Induction Machine (DFIM) drives which is supplied by a two-level Space Vector Modulation (SVM) voltage source inverter (DTC-SVM) in the rotor circuit. The inverter reference voltage vector is obtained by using input-output feedback linearization control and a DFIM model in the stator a-b axes reference frame with stator currents and rotor fluxes as state variables. Moreover, to make this nonlinear controller stable and robust to most varying electrical parameter uncertainties, a two layer recurrent Artificial Neural Network (ANN) is used to estimate a certain function which shows the machine lumped uncertainty. The overall system stability is proved by the Lyapunov theorem. It is shown that the torque and flux tracking errors as well as the updated weights of the ANN are uniformly ultimately bounded. Finally, effectiveness of the proposed control approach is shown by computer simulation results.

SynRM Driving CVT System Using an ARGOPNN with MPSO Control System

  • Lin, Chih-Hong;Chang, Kuo-Tsai
    • Journal of Power Electronics
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    • 제19권3호
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    • pp.771-783
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    • 2019
  • Due to nonlinear-synthetic uncertainty including the total unknown nonlinear load torque, the total parameter variation and the fixed load torque, a synchronous reluctance motor (SynRM) driving a continuously variable transmission (CVT) system causes a lot of nonlinear effects. Linear control methods make it hard to achieve good control performance. To increase the control performance and reduce the influence of nonlinear time-synthetic uncertainty, an admixed recurrent Gegenbauer orthogonal polynomials neural network (ARGOPNN) with a modified particle swarm optimization (MPSO) control system is proposed to achieve better control performance. The ARGOPNN with a MPSO control system is composed of an observer controller, a recurrent Gegenbauer orthogonal polynomial neural network (RGOPNN) controller and a remunerated controller. To insure the stability of the control system, the RGOPNN controller with an adaptive law and the remunerated controller with a reckoned law are derived according to the Lyapunov stability theorem. In addition, the two learning rates of the weights in the RGOPNN are regulating by using the MPSO algorithm to enhance convergence. Finally, three types of experimental results with comparative studies are presented to confirm the usefulness of the proposed ARGOPNN with a MPSO control system.

적응 법칙을 적용한 슬라이딩 모드 제어를 이용한 위성의 고장 허용 제어 (Fault Tolerant Control Using Sliding Mode Control with Adaptation Laws for a Satellite)

  • 신미리;강철우;박찬국
    • 한국항공우주학회지
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    • 제41권2호
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    • pp.98-106
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    • 2013
  • 본 논문에서는 슬라이딩 모드 제어와 간단한 적응 법칙을 이용하여 반작용 휠 고장에 대한 고장 허용 제어 법칙을 제안한다. 위성의 동역학식에 시스템 파라미터 오차와 고장 불확실성을 고려하여 자세 제어 법칙을 설계하였다. 고장은 구동기 고장인 반작용 휠 고장만을 고려하였으며, 반작용 휠 고장은 곱 형태로 반영된다. 제안된 자세 제어 법칙은 르야프노프 안정성 이론을 통해 안정성을 확인하였고, 수치 시뮬레이션을 통하여 기존의 슬라이딩 모드 제어기와 비교하였으며 위성의 자세 각속도가 안정화되지 않은 경우 제안된 적응 슬라이딩 자세 제어기가 고장에 더욱 빠른 응답 속도를 갖는 것을 확인하였다.

An Adaptive Complementary Sliding-mode Control Strategy of Single-phase Voltage Source Inverters

  • Hou, Bo;Liu, Junwei;Dong, Fengbin;Mu, Anle
    • Journal of Electrical Engineering and Technology
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    • 제13권1호
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    • pp.168-180
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    • 2018
  • In order to achieve the high quality output voltage of single-phase voltage source inverters, in this paper an Adaptive Complementary Sliding Mode Control (ACSMC) is proposed. Firstly, the dynamics model of the single-phase inverter with lumped uncertainty including parameter variations and external disturbances is derived. Then, the conventional Sliding Mode Control (SMC) and Complementary Sliding Mode Control (CSMC) are introduced separately. However, when system parameters vary or external disturbance occurs, the controlling performance such as tracking error, response speed et al. always could not satisfy the requirements based on the SMC and CSMC methods. Consequently, an ACSMC is developed. The ACSMC is composed of a CSMC term, a compensating control term and a filter parameters estimator. The compensating control term is applied to compensate for the system uncertainties, the filter parameters estimator is used for on-line LC parameter estimation by the proposed adaptive law. The adaptive law is derived using the Lyapunov theorem to guarantee the closed-loop stability. In order to decrease the control system cost, an inductor current estimator is developed. Finally, the effectiveness of the proposed controller is validated through Matlab/Simulink and experiments on a prototype single-phase inverter test bed with a TMS320LF28335 DSP. The simulation and experimental results show that compared to the conventional SMC and CSMC, the proposed ACSMC control strategy achieves more excellent performance such as fast transient response, small steady-state error, and low total harmonic distortion no matter under load step change, nonlinear load with inductor parameter variation or external disturbance.

입력포화가 존재하는 다중 에이전트 시스템의 일치를 위한 이종제어 (Duplex Control for Consensus of Multi-agent Systems with Input Saturations)

  • 임영훈
    • 한국정보전자통신기술학회논문지
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    • 제14권4호
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    • pp.284-291
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    • 2021
  • 본 논문은 입력포화가 존재하는 다중 에이전트 시스템의 일치 문제를 연구한다. 일치 제어의 목표는 에이전트들이 정보교환을 통하여 그룹의 목표 상태로 일치되도록 함으로써 다중 에이전트 시스템의 군집 행동을 얻는 것이다. 본 논문에서는 입력포화가 존재하는 1차 역학에 의해 모델링된 에이전트 시스템들을 고려한다. 에이전트들의 전역적인 수렴성 보장을 위하여 에이전트들이 안정하다는 가정을 한다. 또한, 외란을 고려하여 일치를 달성하기 위한 PI(비례-적분) 기반의 이종 제어기법을 제안한다. 즉, 제안된 P제어기와 I제어기는 서로 다른 정보 네트워크로 구성된다. 다음으로 리아프노프 안정성 이론과 라살레 불변 법칙을 적용하여 일치를 달성하기 위한 P, I 제어기의 정보 네트워크 구성과 제어이득의 조건을 조사한다. 마지막으로 이론적 결과를 검증하기 위하여 시뮬레이션을 수행한다.