• 제목/요약/키워드: lyapunov

검색결과 1,468건 처리시간 0.026초

길이방향으로 이동하고 장력을 가진 보의 경계제어를 통한 지수안정화 (Exponential Stabilization of an Axially Translating Tensioned Beam by Boundary Control Together with a Passive Damper)

  • 최지윤;홍금식
    • 제어로봇시스템학회논문지
    • /
    • 제9권1호
    • /
    • pp.1-9
    • /
    • 2003
  • An active control of the lateral vibration of a translating tensioned Euler-Bemoulli beam is investigated. The dynamics of the translating tensioned beam is represented by a non-linear hyperbolic partial differential equation. A right boundary control law based upon the Lyapunov's second method is derived. The transverse motion of the translating tensioned beam is controlled by a time-varying external force besides a passive damping applied at the right boundary. Exponential stability of the closed loop system is proved. Simulation results demonstrate the effectiveness of the proposed controller.

Design of Unknown Input Observer for Linear Time-delay Systems

  • Fu, Yan-Ming;Duan, Guang-Ren;Song, Shen-Min
    • International Journal of Control, Automation, and Systems
    • /
    • 제2권4호
    • /
    • pp.530-535
    • /
    • 2004
  • This paper deals with the unknown input observer (UIO) design problem for a class of linear time-delay systems. A case in which the observer error can completely be decoupled from an unknown input is treated. Necessary and sufficient conditions for the existences of such observers are present. Based on Lyapunov stability theory, thedesign of the observer with internal delay is formulated in terms of linear matrix inequalities (LMI). The design of the observer without internal delay is turned into a stabilization problem in linear systems. Two design algorithms of UIO are proposed. The effect of the proposed approach is illustrated by two numerical examples.

초음파센서와 RFID 시스템을 이용한 이동로봇의 맵 빌딩에 관한 연구 (A Study on Map Building of Mobile Robot Using RFID Technology and Ultrasonic Sensor)

  • 이도경;임재성;김상봉
    • 제어로봇시스템학회논문지
    • /
    • 제16권3호
    • /
    • pp.239-244
    • /
    • 2010
  • This paper is to present map building of mobile robot using RFID (Radio Frequency Identification) technology and ultrasonic sensor. For mobile robot to perform map building, the mobile robot needs its localization and accurate driving in space. In this reason, firstly, kinematic modeling of mobile robot under non-holonomic constrains is introduced. Secondly, based on this modeling, a tracking controller is designed for tracking a given path based on backstepping method using Lyapunov function. The Lyapunov function is also introduced for proving the stability of the designed tracking controller. Thirdly, 2D map building is performed by RFID system, mobile robot system and ultrasonic sensors. The RFID mobile robot system is composed of DC motor, encoder, ultra sonic sensor, digital compass, RFID receiver and RFID antenna. Finally, the path tracking simulation results and map building experimental results are presented to show the effectiveness of the designed controller.

Improved Delay-independent $H_2$ Performance Analysis and Memoryless State Feedback for Linear Delay Systems with Polytopic Uncertainties

  • Xie, Wei
    • International Journal of Control, Automation, and Systems
    • /
    • 제6권2호
    • /
    • pp.263-268
    • /
    • 2008
  • An improved linear matrix inequality (LMI) representation of delay-independent $H_2$ performance analysis is introduced for linear delay systems with delays of any size. Based on this representation we propose a new $H_2$ memoryless state feedback design. By introducing a new matrix variable, the new LMI formulation enables us to parameterize memoryles s controllers without involving the Lyapunov variables in the formulations. By using a parameter-dependent Lyapunov function, this new representation proposed here provides us the results with less conservatism.

카오스 이동 로봇에서의 카오스 거동 해석 (Chaotic Behaviour Analysis for Chaotic Mobile Robot)

  • 배영철;김천석
    • 한국정보통신학회논문지
    • /
    • 제8권7호
    • /
    • pp.1410-1417
    • /
    • 2004
  • 본 논문에서는 Arnold 방정식, Chua 방정식, 하이퍼카오스 방정식을 이동 로봇에 내장한 카오스 이동 로봇에서의 카오스 거동을 해석하였다. 이동 로봇에서의 카오스 거동을 분석하기 위해서 시계열데이터, 임베딩 위상공간의 정성적인 분석뿐만 아니라 리아프노프 지수와 같은 정량적인 분석을 수행하였다.

고분자 연료전지 발전시스템에 대한 비선형 관측기 설계 (Nonlinear Observer Design for PEM Fuel Cell Systems)

  • 김응석;김철진
    • 전기학회논문지
    • /
    • 제58권2호
    • /
    • pp.314-321
    • /
    • 2009
  • In this paper, the robust nonlinear observer will be developed for PEM fuel cell system. Nonlinear model of PEM fuel cell system is introduced to study the design problems of observer. Sliding mode observer is designed to estimate the cathode and anode pressures of PEMFC system. And a nonlinear state observer is also designed to estimate the other states such as supply manifold pressure, Oxygen pressure, Hydrogen pressure, return manifold pressure, etc. The validity of the proposed observer will be verified by using Lyapunov's stability analysis method.

부분방전 신호의 비 선형적 해석 (A Nonlinear Analysis of The Partial Discharge Signal)

  • 김성홍;임윤석;장진강;이영상;김재환
    • 한국전기전자재료학회:학술대회논문집
    • /
    • 한국전기전자재료학회 1999년도 춘계학술대회 논문집
    • /
    • pp.165-168
    • /
    • 1999
  • The chaotic characteristics of partial discharge(PD), may seems to be stochastic and merely random, were investigated using the method to discern between chaos and random signal, e.g. correlation integral, Lyapunov characteristic exponents and etc. For the purpose of obtaining experimental data, computer aided partial discharge detecting system was used. While this method is very different from typical statistical analysis from the point of view of a nonlinear analysis, it can provide better interpretable criterion according to the time evolution with a degradation process in the same type insulating system.

  • PDF

속도관측기를 활용한 타여자직류전동기의 적응 백스테핑 제어기 설계 (Adaptive Backstepping Controller Design for a Separately Excited DC Motor Using Speed Observer)

  • 현근호;양혜원
    • 대한전기학회논문지:시스템및제어부문D
    • /
    • 제52권7호
    • /
    • pp.385-392
    • /
    • 2003
  • A nonlinear speed controller for a separately excited DC motor (SEDCM) based on a newly developed adaptive backstepping approach is presented. To compensate parameter uncertainties and load torque disturbance, a nonlinear adaptive backstepping control law and adaptive law are derived systematically step by step through virtual control input and suitable Lyapunov function. Also, speed observer without using costly speed sensor is presented. Simulation results show that the proposed controller can observe real speed and track the reference speed signal generated by a reference model.

로봇 매니퓰레이터의 실시간 적응 제어 (On-line Adaptive Control for Robot Manupulators)

  • 이민중;최영규;김성신
    • 대한전기학회:학술대회논문집
    • /
    • 대한전기학회 2000년도 하계학술대회 논문집 D
    • /
    • pp.2729-2731
    • /
    • 2000
  • In this paper, we propose an adaptive controller using RBFN(radial basis function network) for robot manipulators. The structure of the proposed controller consists of a RBFN and a fixed gain PD controller. On the basis of the Lyapunov stability theorem, we guarantee the UUB (uniformly ultimately boundedness) for the total system. And the learning law of RBFN is established by the Lyapunov method. Finally, we apply the proposed controller to tracking control for the 2 link SCARA type robot manipulator.

  • PDF

NFL-$H_{\infty}$/SMC 의 안정도 증명 : Part 4 (Stability Proof of NFL-$H_{\infty}$/SMC : Part 4)

  • 이상성;박종근;이주장
    • 대한전기학회:학술대회논문집
    • /
    • 대한전기학회 1998년도 하계학술대회 논문집 C
    • /
    • pp.982-984
    • /
    • 1998
  • In this paper, a stability proof of the closed-loop stability for the nonlinear feedback linearization-$H_\infty$/sliding mode controller (NFL-$H_\infty$/SMC) is done by a Lyapunov function candidate using an addition form of the sliding surface vector and the estimation error.

  • PDF