• 제목/요약/키워드: Lyapunov Design Method

검색결과 270건 처리시간 0.026초

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

  • 이우송;김용태;한성현
    • 한국공작기계학회:학술대회논문집
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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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Backstepping 제어기법을 이간한 위성체 선회기동의 비선형 제어기법 (Nonlinear Control Law for Spacecraft Slew Maneuver using Backstepping Control Law)

  • 김기석;김유단
    • 제어로봇시스템학회:학술대회논문집
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    • 제어로봇시스템학회 2000년도 제15차 학술회의논문집
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    • pp.4-4
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    • 2000
  • In this paper, the backstepping control method that is useful for cascade systems is applied to the slew maneuver of the spacecraft. The quaternion is used for representing the attitude of the spacecraft, because the reference trajectory of angular velocity has simple mathematical form. The conventional backstepping control has severa] problems such as slow convergence, trivial cancelling of nonlinear terms, and excessive control input. To overcome these problems, the modified backstepping control method which is redesign of Lyapunov function is proposed. To design a tracking function for angular velocity, it is necessary to estimate the process of maximum angular velocity, and therefore the estimation procedure using Bellman-Gronwall inequality is developed. To verify the effectiveness of the proposed control law, numerical simulation is performed and the results are compared with the exiting control scheme.

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CTM을 위한 로보트 매니퓰레이터의 VSMFC 제어기 설계 (A VSMFC Controller Design of Robot Manipulators Using Computed Torque Method)

  • 박세승;박종국
    • 대한전자공학회논문지
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    • 제27권10호
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    • pp.53-59
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    • 1990
  • 로보트 매니퓰레이터를 제어하는데 있어서, 토오크 계산법을 이용한 새로운 가변구조 모델 추종제어기를 설계한다. 슬라이딩 모드가 존재하기 위한 충부조건은 Lyapunov 함수에 의해 유도된다. 기준 모델은 이중 적분기를 사용하고 가속도 입력은 시스템의 안정성과 원하는 성능을 얻기 위하여 비례-미분 제어기로 구성한다. 제안된 제어기법은 매니퓰레이터 동력학 방정식 각 항들의 상한값과 추정값을 부여함으로써 정확한 매개변수의 지식과 역행렬 계산을 요구하지 않는다. 따라서 모의실험 결과 제어된 제어기가 목적궤적의 수렴성이 개선되었음을 보여준다.

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Time delay study for semi-active control of coupled adjacent structures using MR damper

  • Katebi, Javad;Zadeh, Samira Mohammady
    • Structural Engineering and Mechanics
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    • 제58권6호
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    • pp.1127-1143
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    • 2016
  • The pounding phenomenon in adjacent structures happens in severing earthquakes that can cause great damages. Connecting neighboring structures with active and semi-active control devices is an effective method to avoid mutual colliding between neighboring buildings. One of the most important issues in control systems is applying online control force. There will be a time delay if the prose of producing control force does not perform on time. This paper proposed a time-delay compensation method in coupled structures control, with semi-active Magnetorheological (MR) damper. This method based on Newmark's integration is adopted to mitigate the time-delay effect. In this study, Lyapunov's direct approach is employed to compute demanded voltage for MR dampers. Using Lyapunov's direct algorithm guarantees the system stability to design a controller based on feedback. Because of the strong nonlinearity of MR dampers, the equation of motion of coupled structures becomes an involved equation, and it is impossible to solve it with the common time step methods. In present paper modified Newmark-Beta integration based on the instantaneous optimal control algorithm, used to solve the involved equation. In this method, the response of a coupled system estimated base on optimal control force. Two MDOF structures with different degrees of freedom are finally considered as a numeric example. The numerical results show, the Newmark compensation is an efficient method to decrease the negative effect of time delay in coupled systems; furthermore, instantaneous optimal control algorithm can estimate the response of structures suitable.

시간지연을 가지는 비선형 불확실성 이산 시스템의 퍼지 견실 $H^{\infty}$ 제어기 설계 (Fuzzy Robust $H^{\infty}$ Controller Design for Discrete Uncertain Nonlinear Systems with Time Delays)

  • 이형호;조상현이갑래박홍배
    • 대한전자공학회:학술대회논문집
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    • 대한전자공학회 1998년도 하계종합학술대회논문집
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    • pp.227-230
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    • 1998
  • In this paper, we propose the design method of fuzzy robust H$\infty$ controller for the uncertain nonlinear discete-time systems with time delay. First, we represent a nonlinear plant with a modified T-S(Takagi-Sugeno) fuzzy model. Then design method utilizing the concept of PDC (parallel distributed compensation) is employed. For the modified T-S fuzzy model with uncertainty and delay, the sufficient condition of the quadratic stabilization with an H$\infty$ norm bound is presented in terms of Lyapunov stability theory and fuzzy robust H$\infty$ controller design method is given by LMI(linear matrix inequality) approach. Also an illustrative example is given to demonstrate the result of the proposed method.

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Highly Efficient Control of the Doubly Fed Induction Motor

  • Drid, Said;Makouf, Abdesslam;Nait-Said, Mohamed-Said;Tadjine, Mohamed
    • Journal of Electrical Engineering and Technology
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    • 제2권4호
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    • pp.478-484
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    • 2007
  • This paper deals with the high efficient vector control for the reduction of copper losses of the doubly fed motor. Firstly, the feedback linearization control based on Lyapunov approach is employed to design the underlying controller achieving the double fluxes orientation. The fluxes# controllers are designed independently of the speed. The speed controller is designed using the Lyapunov method especially employed to the unknown load torques. The global asymptotic stability of the overall system is theoretically proven. Secondly, a new Torque Copper Losses Factor is proposed to deal with the problem of the machine copper losses. Its main function is to optimize the torque in keeping the machine saturation at an acceptable level. This leads to a reduction in machine currents and therefore their accompanied copper losses guaranteeing improved machine efficiency. The simulation and experimental results in comparative presentation confirm largely the effectiveness of the proposed DFIM control with a very interesting energy saving contribution.

구조적 불확실성을 갖는 비선형 시스템의 역최적제어 (Inverse optimal control of nonlinear systems with structural uncertainty)

  • 이상훈;김진수;이종용
    • 한국산학기술학회논문지
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    • 제10권10호
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    • pp.2651-2659
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    • 2009
  • 본 논문에서는 구조적 불확실성을 갖는 비선형 시스템에 대한 역 최적 제어를 고려하였다. 먼저 불확실성의 구조적 범위를 논의하고, 제어 Lyapunov 함수를 기초로, 불확실성을 가지는 비선형시스템에 대한 대역적 점근적 안정도를 제안하고 증명한다. 이로부터 역 최적 제어를 위한 최저의 제약조건을 유도하고 증명한다. 이 결과를 이용하여 불확실성을 갖는 비선형시스템에 적용하였으며, 제안된 방법의 효율성을 검증하기 위하여 시뮬레이션을 하였다.

비선형 연속 시간 시스템을 위한 적응 고장 진단 관측기 기반 슬라이딩 모드 제어기 설계 (Design of Sliding Mode Controller Based on Adaptive Fault Diagnosis Observer for Nonlinear Continuous-Time Systems)

  • 장승진;최윤호;박진배
    • 제어로봇시스템학회논문지
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    • 제19권9호
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    • pp.822-826
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    • 2013
  • In this paper, we propose an AFDO (Adaptive Fault Diagnosis Observer) and a fault tolerant controller for a class of nonlinear continuous-time system under the nonlinear abrupt actuator faults. Together with its estimation laws, the AFDO which estimates that the actuator faults is designed by using the Lyapunov analysis. Then, based on the designed AFDO, an adaptive sliding mode controller is proposed as the fault tolerant controller. Using Lyapunov stability analysis, we also prove the uniform boundedness of the state, the output and the fault estimation errors, and the asymptotic stability of the tracking error under the nonlinear time-varying faults. Finally, we illustrate the effectiveness of the proposed diagnosis method and the control scheme thorough computer simulations.

구조적 불확실성을 갖는 비선형 시스템의 안정화 역최적제어 (Stabilization Inverse Optimal Control of Nonlinear Systems with Structural Uncertainty)

  • 조도현;이철;이종용
    • 전자공학회논문지 IE
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    • 제46권4호
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    • pp.49-56
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    • 2009
  • 본 논문에서는 구조적 불확실성을 갖는 비선형 시스템에 대한 안정화 역 최적 제어를 고려하였다. 제어 Lyapunov 함수를 기초로, 대역적 점근적 안정도를 제안한다. 이로부터 역 최적 제어를 위한 최소의 제약조건을 유도한다. 이 결과를 이용하여 불확실성을 갖는 비선형시스템의 역 최적 제어기에 적용하였으며, 기존의 결과를 확장한 것이다. 본 연구에서 고려된 비선형 시스템은 가장 많이 표현되며 제안된 방법의 효율성을 검증하기 위하여 시뮬레이션을 하였다.

크기 및 변화율 제한을 갖는 비선형 시스템의 제어 (Nonlinear Control with Magnitude and Rate Constraints)

  • 이정국;이금원;이준모
    • 융합신호처리학회논문지
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    • 제8권2호
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    • pp.130-135
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    • 2007
  • 본 논문에서는 다항식형태의 비선형성을 갖는 미지의 파라미터를 갖는 2차원의 공탄성(aeroelastic) 시스템에 대한 제어기 설계를 다룬다. 특히 제어기구현에 사용되는 상태 및 actuator 구동기신호가 크기, 변화율 및 대역제약조건을 가지는 경우는 실현이 불가능한데, 이 경우에도 각각에 대한 필터를 사용하여 해결한다. 우선 backstepping에 기초한 오차신호를 정의하고, 명령신호 및 필터출력 신호에 대한 추적오차신호를 정의하며, 필터구성에 따른 보상된 추적오차신호를 재정의한다. 안정화를 위하여 Lyapunov함수를 도입하고, 안정성 원리에 따라 적응식을 유도한다. 시뮬레이션을 통해서 유용성을 입증한다.

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