• Title/Summary/Keyword: Backstepping

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Adaptive Neural Control for Strict-feedback Nonlinear Systems without Backstepping (순궤환 비선형계통의 백스테핑 없는 적응 신경망 제어기)

  • Park, Jang-Hyun;Kim, Seong-Hwan;Park, Young-Hwan
    • The Transactions of The Korean Institute of Electrical Engineers
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    • v.57 no.5
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    • pp.852-857
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    • 2008
  • A new adaptive neuro-control algorithm for a SISO strict-feedback nonlinear system is proposed. All the previous adaptive neural control algorithms for strict-feedback nonlinear systems are based on the backstepping scheme, which makes the control law and stability analysis very complicated. The main contribution of the proposed method is that it demonstrates that the state-feedback control of the strict-feedback system can be viewed as the output-feedback control problem of the system in the normal form. As a result, the proposed control algorithm is considerably simpler than the previous ones based on backstepping. Depending heavily on the universal approximation property of the neural network (NN), only one NN is employed to approximate the lumped uncertain system nonlinearity. The Lyapunov stability of the NN weights and filtered tracking error is guaranteed in the semi-global sense.

Hybrid Speed Control of Separately Excited DC Motor (타여자직류기 (SEDM)의 복합속도제어)

  • Hyun, Keun-Ho;Hwang, Young-Ho;Kim, Hong-Pil;Yang, Hai-Won
    • Proceedings of the KIEE Conference
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    • 2002.07d
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    • pp.2138-2139
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    • 2002
  • In this paper we presents a speed controller for separately excited DC motor using adaptive backstepping technique. The motor was modeled in two local areas the first model is a linear one when speed is under base speed, the other is nonlinear one when field weakening is used to obtain the speed well above base speed. Then linear robust state feedback controller was designed for the linear model while adaptive backstepping controller was designed for the nonlinear model. The adaptive backstepping technique takes system nonlinearity into account in the control system design stage. The proposed controller is proved to be asymptotically stable by the Lyapunov stability theory and some simulations have been carried out to test.

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A Study on the Design of Adaptive Nonlinear Controller using Backstepping Technique (백스테핑 기법을 이용한 적응 비선형 제어기 설계에 관한 연구)

  • Kim, Min-Soo;Hyun, Keun-Ho;Lee, Hyung-Chan;Yang, Hai-Won
    • Proceedings of the KIEE Conference
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    • 1998.07b
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    • pp.588-591
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    • 1998
  • In this paper, we present a robust adaptive backstepping output feedback controller for nonlinear systems perturbed by unmodelled dynamics and disturbances. Especially, backstepping technique with modular approach is used to separately design controller and identifier. The design of identifier is based on the observer-based scheme which possesses a strict passivity property of observer error system. We will use Switching-${\sigma}$ modification at the update law and the modified control law to attenuate the effects of undodelled dynamics and disturbances for nonlinear systems.

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Analysis, Control, and Synchronization of a 3-D Novel Jerk Chaotic System with Two Quadratic Nonlinearities

  • VAIDYANATHAN, SUNDARAPANDIAN
    • Kyungpook Mathematical Journal
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    • v.55 no.3
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    • pp.563-586
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    • 2015
  • In this research work, a seven-term 3-D novel jerk chaotic system with two quadratic nonlinearities has been proposed. The basic qualitative properties of the novel jerk chaotic system have been described in detail. Next, an adaptive backstepping controller is designed to stabilize the novel jerk chaotic system with two unknown parameters. Moreover, an adaptive backstepping controller is designed to achieve complete chaos synchronization of the identical novel jerk chaotic systems with two unknown parameters. MATLAB simulations have been shown in detail to illustrate all the main results developed for the 3-D novel jerk chaotic system.

Robust Adaptive Backstepping Control of Induction Motors Using Nonlinear Disturbance Observer (비선형 외란 관측기를 이용한 유도전동기의 강인 적응 백스테핑 제어)

  • Lee, Eun-Wook
    • The Transactions of the Korean Institute of Electrical Engineers P
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    • v.57 no.2
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    • pp.127-134
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    • 2008
  • In this paper, we propose a robust adaptive backstepping control of induction motors with uncertainties using nonlinear disturbance observer(NDO). The proposed NDO is applied to estimate the time-varying lumped uncertainty which are derived from unknown motor parameters and load torque, but NDO error does not converge to zero since the derivate of lumped uncertainty is not zero. Then the fuzzy neural network(FNN) is presented to estimate the NDO error such that the rotor speed to converge to a small neighborhood of the desired trajectory. Rotor flux and inverse time constant are estimated by the sliding mode adaptive flux observer. Simulation results are provided to verify the effectiveness of the proposed approach.

Design of a Robust Backstepping Controller for a Robotic Load Driven by a Brushless DC Motor (로봇부하 구동용 BLDC 모터의 강인 백스테핑 제어기 설계)

  • Jung, Won-Chul;Hyun, Keun-Ho;Yang, Hai-Won
    • Proceedings of the KIEE Conference
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    • 2000.07d
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    • pp.2753-2755
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    • 2000
  • In this paper, the robust position tracking cotroller for a brushless DC motor driving a one-link robot manipulator is proposed. By using the backstepping approach, the adaptive and robust controller is appropriately designed to ensure global stability. The proposed robust backstepping controller can compensate for estimation errors in system parameters in the system with no structural changes in the controller and without destruction of the stability. The closed-loop stability of the system is shown using Lyapunov techniques. The tracking errors are shown to be globally uniformly bounded.

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Robust Control of Planar Biped Robots in Single Support Phase Using Intelligent Adaptive Backstepping Technique

  • Yoo, Sung-Jin;Park, Jin-Rae;Choi, Yoon-Ho
    • International Journal of Control, Automation, and Systems
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    • v.5 no.3
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    • pp.269-282
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    • 2007
  • This paper presents a robust control method via the intelligent adaptive backstepping design technique for stable walking of nine-link biped robots with unknown model uncertainties and external disturbances. In our control structure, the self recurrent wavelet neural network(SRWNN) which has the information storage ability is used to observe the uncertainties of the biped robots. The adaptation laws for all weights of the SRWNN are induced from the Lyapunov stability theorem, which are used for on-line controlling biped robots. Also, we prove that all signals in the closed-loop adaptive system are uniformly ultimately bounded. Through computer simulations of a nine-link biped robot with model uncertainties and external disturbances, we illustrate the effectiveness of the proposed control system.

Design of a Speed Controller for the Separately Excited DC Motor in Application on Pure Electric Vehicles (순전기자동차용 타여자직류기의 속도제어기 설계)

  • Hyun, Keun-Ho
    • The Transactions of the Korean Institute of Electrical Engineers P
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    • v.56 no.1
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    • pp.6-12
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    • 2007
  • In this paper, an robust adaptive backstepping controller is proposed for the speed control of separately excited DC motor in pure electric vehicles. A general electric drive train of PEV is conceptually rearrange to major subsystems as electric propulsion, energy source, and auxiliary subsystem and the load torque is modeled by considering the aerodynamic, rolling resistance and grading resistance. Armature and field resistance, damping coefficient and load torque are considered as uncertainties and noise generated at applying load torque to motor is also considered. It shows that the backstepping algorithm can be used to solve the problems of nonlinear system very well and robust controller can be designed without the variation of adaptive law. Simulation results are provided to demonstrate the effectiveness of the proposed controller.

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

  • Hyun, Keun-Ho;Kim, Dong-Hun;Kim, Eung-Seok;Kim, Hong-Pil;Yang, Hai-Won
    • Proceedings of the KIEE Conference
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    • 2001.07d
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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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Control and Synchronization of New Hyperchaotic System using Active Backstepping Design

  • Yu, Sung-Hun;Hyun, Chang-Ho;Park, Mi-Gnon
    • International Journal of Fuzzy Logic and Intelligent Systems
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    • v.11 no.2
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    • pp.77-83
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    • 2011
  • In this paper, an active backstepping design is proposed to achieve control and synchronization of a new hyperchaotic system. The proposed method is a systematic design approach and exists in a recursive procedure that interlaces the choice of a Lyapunov function with the design of the active control. The proposed controller enables stabilization of chaotic motion to the origin as well as synchronization of the two identical new hyperchaotic systems. Numerical simulations illustrate the validity of the proposed control technique.