• 제목/요약/키워드: Lyapunov technique

검색결과 169건 처리시간 0.024초

A new approach to robustness bounds using lyapunov stability concept

  • Jo, Jang-Hyen
    • 제어로봇시스템학회:학술대회논문집
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    • 제어로봇시스템학회 1994년도 Proceedings of the Korea Automatic Control Conference, 9th (KACC) ; Taejeon, Korea; 17-20 Oct. 1994
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    • pp.543-547
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    • 1994
  • In this paper, the new approach and technique are introduced and derived from the original Lyapunov direct method which is used to decide the stability of system conveniently. This proposed technique modifies the formal concepts of the sufficient conditions of Lyapunov stability and is able to generate the methods for the robust design of control systems. Also, it applies to the dynamic systems with bounded perturbations and the results of the computer program using the new concept are compared with those of previous research papers and conventional Lyapunov direct method. It is possible to recognize the practical improvements of the estimation of robustness bounds of the systems.

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A Robust Attitude Controller Design Using Lyapunov Redesign Technique for Spacecraft (Lyapunov 재설계 기법을 이용한 우주비행체 강인 자세제어기 설계)

  • Nam, Heon-Seong;Lyou, Joon
    • Journal of Institute of Control, Robotics and Systems
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    • 제8권4호
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    • pp.313-318
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    • 2002
  • A robust attitude controller using Lyapunov redesign technique for spacecraft is proposed. In this controller, qua- ternion feedback is considered to have the attitude maneuver capability very close to the eigen-axis rotation. The controller consists of three parts: the nominal feedback parts which is a PD-type controller for the nominal system without uncertainties, the additional term compensating for the gyroscopic motion, and the third part for ensuring robustness to uncertainties. Lyapunov stability criteria is applied to stability analysis. The performance of the proposed controller is demonstrated via computer simulation.

Control and Tracking Chaotic Liu Systems via Backstepping Design (백스테핑을 이용한 카오스 Liu 시스템의 제어)

  • Yoo, Sung-Hoon;Hyun, Chang-Ho;Park, Mig-Non
    • Proceedings of the KIEE Conference
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    • 대한전기학회 2006년 학술대회 논문집 정보 및 제어부문
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    • pp.324-326
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    • 2006
  • This paper present backstepping control approach for controling chaotic Liu system. The proposed method is a systematic design approach and consists in a recursive procedure that interlaces the choice of a Lyapunov Function. Based on Lyapunov stability theory, control laws are derived. We used the same technique to enable stabilization of chaotic motion to a steady state as well as tracking of any desired trajectory to be achieved in a systematic way. Numerical solution are shown to verify the result.

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The estimation of the robustness bounds of the systems having structured perturbations

  • Jo, Jang-Hyen
    • 제어로봇시스템학회:학술대회논문집
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    • 제어로봇시스템학회 1995년도 Proceedings of the Korea Automation Control Conference, 10th (KACC); Seoul, Korea; 23-25 Oct. 1995
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    • pp.420-423
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    • 1995
  • The stability of system is one of the important aspects and to judge system's stability is another complicated problem. Previously, new technique derived from relaxing Lyapunov conditions has been already introduced and in this paper, this proposed technique applies to the practical dynamic systems. This utility of numerical procedures prove the comparable improvements of the estimation of robustness for dynamic systems having structured (bounded) perturbations.

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BOUNDEDNESS RESULTS FOR IMPULSIVE FUNCTIONAL DIFFERENTIAL EQUATIONS WITH INFINITE DELAYS

  • LI HUA;LUO ZHIGUO
    • Journal of applied mathematics & informatics
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    • 제18권1_2호
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    • pp.261-272
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    • 2005
  • In this paper, boundedness criteria are established for solutions of a class of impulsive functional differential equations with infinite delays of the form $x'(t) = F(t, x(\cdot)), t > t^{\ast} {\Delta}x(t_{k})= I(t_{k}, x(t_{k}^{-})), k = 1,2,...$ By using Lyapunov functions and Razumikhin technique, some new Razumikhin-type theorems on boundedness are obtained.

Performance Improvement of Model Predictive Control Using Control Error Compensation for Power Electronic Converters Based on the Lyapunov Function

  • Du, Guiping;Liu, Zhifei;Du, Fada;Li, Jiajian
    • Journal of Power Electronics
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    • 제17권4호
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    • pp.983-990
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    • 2017
  • This paper proposes a model predictive control based on the discrete Lyapunov function to improve the performance of power electronic converters. The proposed control technique, based on the finite control set model predictive control (FCS-MPC), defines a cost function for the control law which is determined under the Lyapunov stability theorem with a control error compensation. The steady state and dynamic performance of the proposed control strategy has been tested under a single phase AC/DC voltage source rectifier (S-VSR). Experimental results demonstrate that the proposed control strategy not only offers global stability and good robustness but also leads to a high quality sinusoidal current with a reasonably low total harmonic distortion (THD) and a fast dynamic response under linear loads.

Lyapunov-Based Fuzzy Control Scheme for Switched Reluctance Motor Drives

  • Safavian L.;Filizadeh S.;Emadi A.
    • Proceedings of the KIPE Conference
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    • 전력전자학회 2001년도 Proceedings ICPE 01 2001 International Conference on Power Electronics
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    • pp.400-403
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    • 2001
  • In this paper, the classical Lyapunov synthesis method for designing controllers is extended to fuzzy logic. This control technique is then applied to the design of a novel tracking controller for reluctance motor drives. The main features of the method are small rule base, simplicity of construction, and low cost. The proposed controller has been simulated for a model case. In addition, its dynamic performances have been shown to be satisfactory. Capabilities of the proposed technique in controlling the highly nonlinear systems of reluctance motors with much simplicity are also verified.

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A New Negative Impedance Stabilizing Control Technique for Switching Power Supplies with Constant Power Loads

  • Emadi A.
    • Proceedings of the KIPE Conference
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    • 전력전자학회 2001년도 Proceedings ICPE 01 2001 International Conference on Power Electronics
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    • pp.276-280
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    • 2001
  • In this paper, an approach to the design of negative impedance stabilizing controllers for PWM DC/DC converters that are used in DC switching. power supplies with constant power loads is presented. The control approach is based on the feedback linearization technique. Because of the negative impedance destabilizing characteristics of constant power loads, classical linear control methods have stability limitations around the operating points. However, the proposed stabilizing technique improves large-signal stability and dynamic responses. The proposed controllers are simulated and their responses under different operations are studied. Stability of the control technique is also verified using the second theorem of Lyapunov.

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Implementation of a Lyapunov Function Based Fuzzy Controller for the Precise Positioning of DC Servo Motor

  • Lee, Joon-Tark;Lee, Oh-Keol;Shin, Song-Ho;Park, Doo-Hwan
    • Proceedings of the Korean Institute of Intelligent Systems Conference
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    • 한국퍼지및지능시스템학회 1998년도 The Third Asian Fuzzy Systems Symposium
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    • pp.42-45
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    • 1998
  • In this paper, a fuzzy control technique using adjustable scale factors and Lyapunov Function for the precise position control of DC servo system is introduced. The suitable scale factors were selected and the stable control input using the stability theory of Lyapunov function cam be applied. Therefore, the controlled system have the robustness against disturbances and can be stabilized because of reinforced adaptivity. This proposed fuzzy controller is implemented on a 80586 micro-computer which have of fuzzy inference routine part, manipulating part of scale factors and DT-2801 data aquisition board.

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The Adaptive-Neuro Control of Robot Manipulator Based-on TMS320C50 Chip (TMS320C50칩을 이용한 로봇 매니퓰레이터의 적응-신경제어)

  • 이우송;김용태;한성현
    • Proceedings of the Korean Society of Machine Tool Engineers Conference
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    • 한국공작기계학회 2003년도 춘계학술대회 논문집
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    • pp.305-311
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    • 2003
  • We propose a new technique of adaptive-neuro controller design to implement real-time control of robot manipulator, Unlike the well-established theory for the adaptive control of linear systems, there exists relatively little general theory for the adaptive control of nonlinear systems. Adaptive control technique is essential for providing a stable and robust performance for application of robot control. The proposed neuro control algorithm is one of loaming a model based error back-propagation scheme using Lyapunov stability analysis method. Through simulation, the proposed adaptive-neuro control scheme is proved to be a efficient control technique for real time control of robot system using DSPs(TMS320C50)

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