• 제목/요약/키워드: Lyapunov stability criterion

검색결과 56건 처리시간 0.024초

상태변수와 입력변수에 시간지연을 갖는 불확정 동적 시스템의 제어기 설계 (Delay-Dependent Stabilization for Uncertain Dynamic Systems with State and Input Delays)

  • 조현주;박주현
    • 대한전기학회논문지:시스템및제어부문D
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    • 제54권4호
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    • pp.215-219
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    • 2005
  • This paper aims at asymptotic stabilization for uncertain dynamic systems with state and input delays. We propose a memoryless state feedback controller which maximizes the delay bound for guaranteeing stability of the system. Using Lyapunov method and linear matrix inequality (LMI) approach, a delay-dependent stabilization criterion is devised by taking the relationship between the terms in the Leibniz-Newton formula into account. The criterion is represented in terms of LMIs, which can be solved by various efficient convex optimization algorithms. Numerical examples are given to illustrate our main method.

상하 카메라를 이용한 무인 지게차의 도킹 (Unmanned Forklift Docking Using Two Cameras)

  • 이상진;송재복
    • 제어로봇시스템학회논문지
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    • 제21권10호
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    • pp.930-935
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    • 2015
  • An unmanned forklift requires precise positioning and pallet detection. Therefore, conventional unmanned forklifts use high-cost sensors to find the exact position of the pallet. In this study, a docking algorithm with two cameras is proposed. The proposed method uses vision data to extract the angle difference between the pallet and the forklift. Then the control law is derived from the extracted angle for successful docking. The extracted angle is compared with the actual angle in the real environment. The control law is tested with the Lyapunov stability test and Routh-Hurwitz stability criterion. Through various experiments, the proposed docking algorithm showed the success rate high enough for real-life applications.

비선형 관측기를 이용한 스트랩다운 관성항법시스템 구성 (Design of a SDINS using the nonlinear observer)

  • 유명종;이장규;박찬국;심덕선
    • 제어로봇시스템학회:학술대회논문집
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    • 제어로봇시스템학회 2000년도 제15차 학술회의논문집
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    • pp.27-27
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    • 2000
  • The nonlinear observers are proposed for a nonlinear system. To improve the characteristics such as a stability, a convergence, and an H$\sub$$\infty$/ filter performance criterion, we utilize and H$\sub$$\infty$/ filter Riccati equation or a modified H$\sub$$\infty$/ filter Riccati equation with a freedom parameter. Using the Lyapunov, the characteristics of the observer are analyzed. Then the in-flight alignment for a strapdown inertial navigation system(SDINS) is designed using the observer proposed. Simulation results show that the observer with the modified H$\sub$$\infty$/ fitter Riccati equation effectively improve the performance of the in-flight alignment.

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비동일 노드들과 연결정보 제약이 없는 복잡동적 네트워크의 동기화 (Synchronization of a Complex Dynamical Network with nonidentical Node and Free Coupling Strength)

  • 윤한오
    • 전자공학회논문지
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    • 제50권8호
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    • pp.292-298
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    • 2013
  • 본 논문은 동일하지 않는 노드들을 갖는 복잡동적 네트워크의 동기화문제를 고려한다. 이 문제에서 타켓 노드는 별도의 독립노드 대신에 네트워크내의 한 노드를 택하였다. 더욱이 본 논문의 동기화기법에서는 기존에 존재하는 연결행렬의 정보나 부가적인 조건을 필요하지 않는 장점이 있다. 리아프노프 안정성기법에 의거하여 타켓 노드와 다른 노드들 사이의 동기화를 위한 새로운 적응제어기를 위한 조건을 유도한다. 마지막으로 제안된 기법의 효율성을 보이기 위하여 수치적인 예제를 제시한다.

Sensorless Control of Induction Motor Drives Using an Improved MRAS Observer

  • Kandoussi, Zineb;Boulghasoul, Zakaria;Elbacha, Abdelhadi;Tajer, Abdelouahed
    • Journal of Electrical Engineering and Technology
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    • 제12권4호
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    • pp.1456-1470
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    • 2017
  • This paper presents sensorless vector control of induction motor drives with an improved model reference adaptive system observer for rotor speed estimation and parameters identification from measured stator currents, stator voltages and estimated rotor fluxes. The aim of the proposed sensorless control method is to compensate simultaneously stator resistance and rotor time constant variations which are subject of large changes during operation. PI controllers have been used in the model reference adaptive system adaptation mechanism and in the closed loops of speed and currents regulation. The stability of the proposed observer is proved by the Lyapunov's theorem and its feasibility is verified by experimentation. The experimental results are obtained with an 1 kW induction motor using Matlab/Simulink and a dSPACE system with DS1104 controller board showing the effectiveness of the proposed approach in terms of dynamic performance.

헬리콥터 시스템의 퍼지 분산 제어기 설계 (A Decentralized Control Technique for Experimental Nonlinear Helicopter Systems)

  • 김문환;박진배;이호재;차대범;주영훈
    • 한국지능시스템학회논문지
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    • 제12권1호
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    • pp.80-84
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    • 2002
  • 본 논문은 2자유도 실험용 헬리콥터 시스템의 제어를 위한 분산 제어기 설계 기법을 제안한다. 분산제어기법은 특히 대규모 제어 시스템에 적합하다고 알려져 있다. 본 논문에서는 Lyapunov 안정도 설계 방법을 이용하여 상호 연결된 TS 퍼지 시스템의 안정도 조건을 유도하고 선형 행렬 부등식을 이용하여 제어기 설계 조건을 공식화한다. 제안된 방법의 유용성을 검증하기 위해, 컴퓨터 시뮬레이션뿐 만 아니라 실험을 통해 그 결과를 도출한다.

적분 보상을 포함하는 로봇 매니퓰레이터의 시각 궤환 강인 제어 (A Robust Visual Feedback Control with Integral Compensation for Robot Manipulators)

  • 이강웅;지민석
    • 제어로봇시스템학회논문지
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    • 제12권3호
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    • pp.294-299
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    • 2006
  • This paper studies a visual feedback control scheme for robot manipulators with camera-in-hand configurations. We design a robust controller that compensates for bounded parametric uncertainties of robot mechanical dynamics. In order to reduce steady state tracking error of the robot arms due to uncertain dynamics, integral action is included in the control input. Using the Lyapunov stability criterion, the uniform ultimate boundedness of the tracking error is proved. Simulation and experimental results with a 2-1ink robot manipulator illustrate the robustness and effectiveness of the proposed control algorithm.

헬리콥터 시스템의 퍼지 분산 제어기 설계 (A Decentralized Fuzzy Controller for Experimental Nonlinear Helicopter Systems)

  • 김문환;이호재;박진배;차대범;주영훈
    • 한국지능시스템학회:학술대회논문집
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    • 한국퍼지및지능시스템학회 2001년도 추계학술대회 학술발표 논문집
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    • pp.141-144
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    • 2001
  • This paper proposes a decentralized control technique for 2-dimensional experimental helicopter systems. The decentralized control technique is especially suitable in large-scale control systems. We derive the stabilization condition for the interconnected Takagi-Sugeno (75) fuzzy system using the rigorous tool - Lyapunov stability criterion and formulate the controller design condition in terms of linear matrix inequality (LMI). To demonstrate the feasibility of the proposed method, we include the experiment result as well as a computer simulation one, which strongly convinces us the applicability to the industry.

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자유로운 연결 구조를 갖는 복잡 동적망의 동기화 (Synchronization of a Complex Dynamical Network with Free Coupling Matrix)

  • 이태희;박주현;권오민;이상문
    • 전기학회논문지
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    • 제60권8호
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    • pp.1586-1591
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    • 2011
  • This paper considers synchronization problem of a complex dynamical network. For the problem, the virtual target node is chosen as one of nodes in the complex network and only one connection is needed between an isolate target node and virtual target node not any more connections. Moreover, our synchronization scheme does not need additional conditions and information of coupling matrix comparing with existing works. Based on Lyapunov stability theory, a design criterion for a novel adaptive feedback controller for the synchronization between the isolate target node and another nodes of the complex network is proposed. Finally, the proposed method is applied to a numerical example in order to show the effectiveness of our results.

삼륜형 전방향 이동로봇을 위한 경로추종 및 방위제어 (Simultaneous path tracking and orientation control for three-wheeled omni-directional robots)

  • 최한수;김동일;송재복
    • 로봇학회논문지
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    • 제10권3호
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    • pp.154-161
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    • 2015
  • Conventional path tracking methods designed for two-wheeled differential drive robots are not suitable for omni-directional robots. In this study, we present a controller which can accomplish more accurate path tracking and orientation correction by exploiting the unconstrained movement capability of omni-directional robots. The proposed controller is proven to be stable using a Lyapunov stability criterion. Various experiments in real environments show that performance of path tracking and orientation correction has improved in the proposed controller.