• Title/Summary/Keyword: Lyapunov's direct method

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Nonlinear Adaptive Control of Unmanned Helicopter Using Neural Networks Compensator (신경회로망 보상기를 이용한 무인헬리콥터의 비선형적응제어)

  • Park, Bum-Jin;Hong, Chang-Ho
    • Journal of the Korean Society for Aeronautical & Space Sciences
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    • v.38 no.4
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    • pp.335-341
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    • 2010
  • To improve the performance of inner loop based on PD controller for a unmanned helicopter, neural networks are applied. The performance of PD controller designed on the response characteristics of error dynamics decreases because of uncertain nonlinearities of the system. The nonlinearities are decoupled to modified dynamic inversion model(MDIM) and are compensated by the neural networks. For the training of the neural networks, online weight adaptation laws which are derived from Lyapunov's direct method are used to guarantee the stability of the controller. The results of the improved performance of PD controller by neural networks are illustrated in the simulation of unmanned helicopter with nonlinearities,

Adaptive Output Feedback Control of Unmanned Helicopter Using Neural Networks (신경회로망을 이용한 무인헬리콥터의 적응출력피드백제어)

  • Park, Bum-Jin;Hong, Chang-Ho;Suk, Jin-Young
    • Journal of the Korean Society for Aeronautical & Space Sciences
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    • v.35 no.11
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    • pp.990-998
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    • 2007
  • Adaptive output feedback control technique using Neural Networks(NN) is proposed for uncertain nonlinear Multi-Input Multi-Output(MIMO) systems. Modified Dynamic Inversion Model(MDIM) is introduced to decouple uncertain nonlinearities from inversion-based control input. MDIM consists of approximated dynamic inversion model and inversion model error. One NN is applied to compensate the MDIM of the system. The output of the NN augments the tracking controller which is based upon a filtered error approximation with online weight adaptation laws which are derived from Lyapunov's direct method to guarantee tracking performance and ultimate boundedness. Several numerical results are illustrated in the simulation of Van der Pol system and unmanned helicopter with model uncertainties.

Robot Control of a Revolute Joint Robot (회전 관절형 로봇의 강인제어)

  • Lee, Soo-Han;Kim, Tae-Gyun
    • Proceedings of the KSME Conference
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    • 2001.06b
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    • pp.265-270
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    • 2001
  • In this paper, a robust controller is proposed to control a robot manipulator which is governed by highly nonlinear dynamic equations. The controller is computationally efficient since it does not require the dynamic model or parameter values of a robot manipulator. It, however, requires uncertainty bounds which are derived by using properties of revolute joint robot dynamics. The stability of the robot with the controller is proved by using Lyapunov's direct method. The results of computer simulations also show that the robot system is stable, and has excellent trajectory tracking performance.

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Neural Direct Adaptive Control and Stability Analysis (신경회로망 직접 적응제어 및 안정성 해석)

  • Choi, J.S.;Kim, H.S.;Kim, S.J.;Kwon, O.S.
    • Proceedings of the KIEE Conference
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    • 1996.07b
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    • pp.1179-1181
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    • 1996
  • In this paper, method for direct adaptive control of discrete nonlinear systems using neural network is presented. Also, the stability problems are investigated in sense of the Lyapunov stability conditions. Through extensive simulation, the SOON is shown to be effective for indirect adaptive control of nonlinear dynamic systems.

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Steering Control of Unmaned Container Transporter Using MRAC (MRAC 기법을 이용한 무인 컨테이너 운송차량의 조향 제어)

  • Lee, Y.J.;Huh, N.;Choi, J.Y.;Lee, K.S.;Lee, M.H.
    • Journal of Korean Port Research
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    • v.14 no.3
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    • pp.291-301
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    • 2000
  • T his paper presents the lateral and longitudinal control algorithm for the driving of a 4WS AGV(Automated Guided Vehicle). The control law to the lateral and longitudinal control of the AGV includes adaptive agin tuning ability, that is the controller gain of the gravity compensated PD controller can be changed on a real-time. The gain tuning law is derived from the Lyapunov direct method using the output error of the reference model and the actual model, And to show the performance of the presented lateral and longitudinal control algorithm, we simulate toe nonlinear AGV equations of the motion by deriving the Newton-Euler Method, The read path is from quay yard area to docking position in loading yard area. The quay yard area is where the quay crane loads the container to the AGV and the docking position is where the container is transferred to the gantry crane. The road types are constructed in a straight line and J-turn. When driving the straight line, the driving velocity is 6㎧ and the J-turn is 3㎧.

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Robust Sensorless Sliding Mode Flux Observer for DTC-SVM-based Drive with Inverter Nonlinearity Compensation

  • Aimad, Ahriche;Madjid, Kidouche;Mekhilef, Saad
    • Journal of Power Electronics
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    • v.14 no.1
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    • pp.125-134
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    • 2014
  • This paper presents a robust and speed-sensorless stator flux estimation for induction motor direct torque control. The proposed observer is based on sliding mode approach. Stator electrical equations are used in the rotor orientation reference frame to eliminate the observer dependence on rotor speed. Lyapunov's concept for systems stability is adopted to confine the observer gain. Furthermore, the sensitivity of the observer to parameter mismatch is recovered with an adaptation technique. The nonlinearities of the pulse width modulation voltage source inverter are estimated and compensated to enhance stability at low speeds. Therefore, a new method based on the model reference adaptive system is proposed. Simulation and experimental results are shown to verify the feasibility and effectiveness of the proposed algorithms.

Stability analysis of piezopolymer flexible twisting micro-actuator with a linear feedback control

  • Sasaki, M.;Wang, P.K.C.;Fujisawa, F.
    • 제어로봇시스템학회:학술대회논문집
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    • 1993.10b
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    • pp.197-201
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    • 1993
  • A method for the closedloop control of the torsional tip motion of a piezo-polymer actuator is presented. The application of Lyapunov's direct, method to the problem is explored. A feedback control of the torsional tip motion of tile piezopolymer actuator is derived by considering tile time rate of change of the total energy of the system. If the angular velocity of the tip of the actuator is known, all the modes of tile actuator can be controlled simultaneously. This approach has tile advantage over the conventional methods in the respect that it allows one to directly with tile system's partial differential equations without resorting to approximations.

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A Adaptive Scheme design for Identification and Control of multivariable Systems (다변수시스템의 상태식별과 제어를 위한 안정한 적응구조의 설계)

  • Kim, S.K.;Chun, S.Y.;Yim, W.Y.
    • Proceedings of the KIEE Conference
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    • 1987.11a
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    • pp.69-72
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    • 1987
  • General schemes for the adaptive control and identification of multivariable systems by model reference approach are developed. Lyapunov's direct method and LaSalle's theorem are employed to ensure the stability of these schemes. An added feature is the simplicity of the stable adaptive laws, which depend explicitly on the state variables of plant and model, and on the plant input. Computer simulation results of several examples illustrate the the effectiveness of the proposed schemes.

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Study on Adaptive Higher Harmonic Control Using Neural Networks (신경회로망을 이용한 적응 고차조화제어 기법 연구)

  • Park, Bum-Jin;Park, Hyun-Jun;Hong, Chang-Ho
    • Journal of the Korean Society for Aeronautical & Space Sciences
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    • v.33 no.3
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    • pp.39-46
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    • 2005
  • In this paper, adaptive higher harmonic control technique using Neural Networks (NN) is proposed. First, linear transfer function is estimated to relate the input harmonics and output harmonics, then NN which has the universal function approximation property is applied to expand application range of the transfer function. Optimal control gain matrix computed from the transfer function is used to train NN weights. Online weight adaptation laws are derived from Lyapunov's direct method to guarantee internal stability. Results of the simulation of 6-input 2-output nonlinear system show that adaptive HHC is applicable to the system with uncertain transfer function.

Global stabilization of three-dimensional flexible marine risers by boundary control

  • Do, K.D.
    • Ocean Systems Engineering
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    • v.1 no.2
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    • pp.171-194
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    • 2011
  • A method to design a boundary controller for global stabilization of three-dimensional nonlinear dynamics of flexible marine risers is presented in this paper. Equations of motion of the risers are first developed in a vector form. The boundary controller at the top end of the risers is then designed based on Lyapunov's direct method. Proof of existence and uniqueness of the solutions of the closed loop control system is carried out by using the Galerkin approximation method. It is shown that when there are no environmental disturbances, the proposed boundary controller is able to force the riser to be globally exponentially stable at its equilibrium position. When there are environmental disturbances, the riser is stabilized in the neighborhood of its equilibrium position by the proposed boundary controller.