• Title/Summary/Keyword: Lyapunov Function

Search Result 493, Processing Time 0.029 seconds

AC 서보 시스템에 대한 Backstepping 슬라이딩 모드 제어기 설계 (A Backstepping Design with Sliding Mode Control for AC Servo System)

  • 김성환;박승규;안호균;김민찬
    • 대한전기학회:학술대회논문집
    • /
    • 대한전기학회 2003년도 하계학술대회 논문집 D
    • /
    • pp.2248-2250
    • /
    • 2003
  • This paper Backstepping design with Sliding Mode Control for AC Servo Systems. The robustness of sliding mode control can be used for backstepping technique to solve the uncertainty problem. A scalar design using Lyapunov function is developed for high-order systems. The result can be easily extended to non-linear system and used with many other sliding mode control results.

  • PDF

대각귀환 신경망을 이용한 비선형 적응 제어 (Adaptive Control of the Nonlinear Systems Using Diagonal Recurrent Neural Networks)

  • 류동완;이영석;서보혁
    • 대한전기학회:학술대회논문집
    • /
    • 대한전기학회 1996년도 하계학술대회 논문집 B
    • /
    • pp.939-942
    • /
    • 1996
  • This paper presents a stable learning algorithm for diagonal recurrent neural network(DRNN). DRNN is applied to a problem of controlling nonlinear dynamical systems. A architecture of DRNN is a modified model of the Recurrent Neural Network(RNN) with one hidden layer, and the hidden layer is comprised of self-recurrent neurons. DRNN has considerably fewer weights than RNN. Since there is no interlinks amongs in the hidden layer. DRNN is dynamic mapping and is better suited for dynamical systems than static forward neural network. To guarantee convergence and for faster learning, an adaptive learning rate is developed by using Lyapunov function. The ability and effectiveness of identifying and controlling a nonlinear dynamic system using the proposed algorithm is demonstrated by computer simulation.

  • PDF

Sliding Mode Control with Fixed Switching Frequency for Four-wire Shunt Active Filter

  • Hamoudi, Farid;Chaghi, A. Aziz;Amimeur, Hocine;Merabet, El Kheir
    • Journal of Electrical Engineering and Technology
    • /
    • 제6권5호
    • /
    • pp.647-657
    • /
    • 2011
  • The present paper proposes a sliding mode control with fixed switching frequency for three-phase three-leg voltage source inverter based four-wire shunt active power filter. The aim is to improve phase current waveform, neutral current mitigation, and reactive power compensation in electric power distribution system. The performed sliding mode for active filter current control is formulated using elementary differential geometry. The discrete control vector is deduced from the sliding surface accessibility using the Lyapunov stability. The problem of the switching frequency is addressed by considering hysteresis comparators for the switched signals generation. Through this method, a variable hysteresis band has been established as a function of the sliding mode equivalent control and a predefined switching frequency in order to keep this band constant. The proposed control has been verified with computer simulation which showed satisfactory results.

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
    • /
    • 제66권1호
    • /
    • pp.153-158
    • /
    • 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.

풍력 발전 계통의 적응 신경망 제어기 설계 (Stable Adaptive On-line Neural Control for Wind Energy Conversion System)

  • 박장현;김성환;장영학
    • 전기학회논문지
    • /
    • 제60권4호
    • /
    • pp.838-842
    • /
    • 2011
  • This paper proposes an online adaptive neuro-controller for a wind energy conversion system (WECS) that is a highly nonlinear system intrinsically. In real application, to obtain exact system parameters such as power coefficient, many measuring instruments and implementations are required, which is very difficult to perform. This shortcoming can be avoided by introducing neural network in the controller design in this paper. The proposed adaptive neural control scheme using radial-basis function network (RBFN) needs no system parameters to meet control objectives. Combining derivative estimator for wind velocity, the whole closed-loop system is shown to be stable in the sense of Lyapunov.

퍼지-슬라이딩 모드 적응제어기에 의한 유도기 속도제어 (Speed Control of Induction Motor Using Fuzzy-Sliding Adaptive Controller)

  • 윤병도;김윤호;김찬기;양성진
    • 대한전기학회:학술대회논문집
    • /
    • 대한전기학회 1995년도 하계학술대회 논문집 A
    • /
    • pp.331-333
    • /
    • 1995
  • A high performance motor drive system must have a good speed command tracking, a insensitivity to a parameter variation and sampling time. In this paper, a robust speed controller for an induction motor is proposed. The speed controller is fuzzy-sliding adaptive controller and its system continuously is varied. That is, only P gain act in dynamic state, I gain in steady-state. Because this system is a sort of adaptive control system, global stability analysis is used to Lyapunov function. Consequently, in this paper application of fuzzy sliding adaptive controller to induction motor controlled by vecter control is presented and the control system is digitally implemented within DSP.

  • PDF

임피던스 방식에 의한 로보트 매니퓰레이터의 슬라이딩 모드 제어 (Sliding Mode Control of a Robot Manipulator by the Impedance Approach)

  • 최형식
    • Journal of Advanced Marine Engineering and Technology
    • /
    • 제18권4호
    • /
    • pp.25-32
    • /
    • 1994
  • This paper presents a robust impedance controller design to coordinate a robot manipulator under system uncertainties while regulating external forces. By an impedance approach, the relationship between the motion and external forces is defined. Due to the system uncertainties, two kind of sliding mode control schemes based on the impedance approach are derived to ensure that the manipulator end-effector follows a desired trajectory and the force applied to end effector is regulated according to a target impendance. A stability condition is shown according to a sliding condition. To evaluate the devised control scheme, a numerical example is shown.

  • PDF

불규칙한 외부 교란이 주기적 가진을 받는 비선형계의 동적 특성에 미치는 영향 (Noise Effect in a Nonlinear System Under Harmonic Excitation)

  • 박시형;김지환
    • 한국소음진동공학회:학술대회논문집
    • /
    • 한국소음진동공학회 1997년도 추계학술대회논문집; 한국과학기술회관; 6 Nov. 1997
    • /
    • pp.145-153
    • /
    • 1997
  • Dynamic characteristics are investigated when a nonlinear system showing periodic and chaotic responses under harmonic excitation is exposed to random perturbation. About two well potential problem, probability of homoclinic bifurcation is estimated using stochastic generalized Meinikov process and quantitive characteristics are investigated by calculation of Lyapunov exponent. Critical excitaion is calculated by various assumptions about Gaussian Melnikov process. To verify the phenomenon graphically Fokker-Planck equation is solved numerically and the original nonlinear equation is numerically simulated. Numerical solution of Fokker-Planck equation is calculated on Poincare section and noise induced chaos is studied by solving the eigenvalue problem of discretized probability density function.

  • PDF

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
    • /
    • 제11권2호
    • /
    • pp.77-83
    • /
    • 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.

Research on Finite-Time Consensus of Multi-Agent Systems

  • Chen, Lijun;Zhang, Yu;Li, Yuping;Xia, Linlin
    • Journal of Information Processing Systems
    • /
    • 제15권2호
    • /
    • pp.251-260
    • /
    • 2019
  • In order to ensure second-order multi-agent systems (MAS) realizing consensus more quickly in a limited time, a new protocol is proposed. In this new protocol, the gradient algorithm of the overall cost function is introduced in the original protocol to enhance the connection between adjacent agents and improve the moving speed of each agent in the MAS. Utilizing Lyapunov stability theory, graph theory and homogeneity theory, sufficient conditions and detailed proof for achieving a finite-time consensus of the MAS are given. Finally, MAS with three following agents and one leading agent is simulated. Moreover, the simulation results indicated that this new protocol could make the system more stable, more robust and convergence faster when compared with other protocols.