• 제목/요약/키워드: Uniformly Ultimately Boundedness

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An Adaptive Tracking Control for Robotic Manipulators based on RBFN

  • Lee, Min-Jung;Jin, Tae-Seok
    • International Journal of Fuzzy Logic and Intelligent Systems
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    • 제7권2호
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    • pp.96-101
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    • 2007
  • Neural networks are known as kinds of intelligent strategies since they have learning capability. There are various their applications from intelligent control fields; however, their applications have limits from the point that the stability of the intelligent control systems is not usually guaranteed. In this paper we propose an adaptive tracking control for robot manipulators using the radial basis function network (RBFN) that is e. kind of neural networks. Adaptation laws for parameters of the RBFN are developed based on the Lyapunov stability theory to guarantee the stability of the overall control scheme. Filtered tracking errors between actual outputs and desired outputs are discussed in the sense of the uniformly ultimately boundedness(UUB). Additionally, it is also shown that parameters of the RBFN are bounded. Experimental results for a SCARA-type robot manipulator show that the proposed adaptive tracking controller is adaptable to the environment changes and is more robust than the conventional PID controller and the neuro-controller based on the multilayer perceptron.

Uncertainty의 경계치 추정기법을 기초로 한 출력궤환제어 (An output feedback control based on the adaptatation law for the estimation of the bound of the uncertainty)

  • 유동상;최한호;정명진
    • 대한전기학회:학술대회논문집
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    • 대한전기학회 1991년도 하계학술대회 논문집
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    • pp.687-690
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    • 1991
  • In deterministic design of feedback controllers for uncertain dynamical systems, the bound on the uncertainty is an important clue to guarantee the asymptotic stability or uniform ultimate boundedness of the closed-loop system. In this paper, using only the measurable output we propose an adaptation law for the estimation of the bound of the uncertainty. And based on this adaptation law an adaptive control which renders the uncertain dynamical systems uniformly ultimately bounded is constructed.

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신경 회로망을 이용한 강인 비행 제어 시스템: 동적 표면 설계 접근 (Robust Flight Control System Using Neural Networks: Dynamic Surface Design Approach)

  • 유성진;최윤호;박진배
    • 대한전기학회:학술대회논문집
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    • 대한전기학회 2006년도 제37회 하계학술대회 논문집 D
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    • pp.1848-1849
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    • 2006
  • The new robust controller design method is proposed for the flight control systems with model uncertainties. The proposed control system is a combination of the adaptive dynamic surface control (DSC) technique and the self recurrent wavelet neural network (SRWNN). The adaptive DSC technique provides us with the ability to overcome the "explosion of complexity" problem of the backstepping controller. The SRWNNs are used to observe the arbitrary model uncertainties of flight systems and all their weights are trained on-line. From the Lyapunov stability analysis, their adaptation laws are induced and the uniformly ultimately boundedness of all signals in a closed-loop adaptive system is proved. Finally, simulation results for a high performance aircraft (F-16) are utilized to validate the good tracking performance and robustness of the proposed control system.

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A New Excitation Control for Multimachine Power Systems I: Decentralized Nonlinear Adaptive Control Design and Stability Analysis

  • Psillakis Haris E.;Alexandridis Antonio T.
    • International Journal of Control, Automation, and Systems
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    • 제3권spc2호
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    • pp.278-287
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    • 2005
  • In this paper a new excitation control scheme that improves the transient stability of multi machine power systems is proposed. To this end the backstepping technique is used to transform the system to a suitable partially linear form. On this system, a combination of both feedback linearization and adaptive control techniques are used to confront the nonlinearities. As shown in the paper, the resulting nonlinear control law ensures the uniform boundedness of all the state and estimated variables. Furthermore, it is proven that all the error variables are uniformly ultimately bounded (DUB) i.e. they converge to arbitrarily selected small regions around zero in finite-time. Simulation tests on a two generator infinite bus power system demonstrate the effectiveness of the proposed control.

신경 회로망을 이용한 강인 비행 제어 시스템: 동적 표면 설계 접근 (Robust Flight Control System Using Neural Networks: Dynamic Surface Design Approach)

  • 유성진;최윤호;박진배
    • 대한전기학회논문지:시스템및제어부문D
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    • 제55권12호
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    • pp.518-525
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    • 2006
  • This paper presents the adaptive robust control method for the flight control systems with model uncertainties. The proposed control system can be composed simply by a combination of the adaptive dynamic surface control (DSC) technique and the self recurrent wavelet neural network (SRWNN). The adaptive DSC technique provides us with the ability to overcome the 'explosion of complexity' problem of the backstepping controller. The SRWNNs are used to observe the arbitrary model uncertainties of flight systems, and all their weights are trained on-line. From the Lyapunov stability analysis, their adaptation laws are induced and the uniformly ultimately boundedness of all signals in a closed-loop adaptive system is proved. Finally, simulation results for a high performance aircraft (F-16) are utilized to validate the good tracking performance and robustness of the proposed control system.

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

  • 이민중;최영규;김성신
    • 대한전기학회:학술대회논문집
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    • 대한전기학회 2000년도 하계학술대회 논문집 D
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    • pp.2729-2731
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    • 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.

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비적응 모델 보상법에 의한 강성로보트의 강인한 동작제어 (Robust Motion Control of Robotic Manipulators with Nonadaptive Model-based Compensation)

  • ;유삼상
    • Journal of Advanced Marine Engineering and Technology
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    • 제18권4호
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    • pp.102-111
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    • 1994
  • This article deals with the problem of designing a robust algorithm for the motion control of robot manipulator whose nonlinear dynamics contain various uncertainties. To ensure high performance of control system, a model-based feedforward compensation with continuous robust control has been developed. The control structure based on the deterministic approach consists of two parts : the nominal control law is first introduced to stabilize the system without uncertainties, then a robust nonlinear control law is adopted to compensate for both the resulting errors(or structured uncertainties) and unstructured uncertainties. The uncertainties assumed in this study are bounded by polynomials in the Euclidean norms of system states with known bounding coefficients. The presented control scheme is relatively simple as well as computationally efficient. With a feasible class of desired trajectories, the proposed control law provides sufficient criteria which guarantee that all possible responses of the closed-loop system are uniformly ultimately bounded in the presence of uncertainties. Therefore, the control algorithm proposed is shown to be robust with respect to the involved uncertainties.

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Tracking Control for Robot Manipulators based on Radial Basis Function Networks

  • Lee, Min-Jung;Park, Jin-Hyun;Jun, Hyang-Sig;Gahng, Myoung-Ho;Choi, Young-Kiu
    • 한국정보통신학회:학술대회논문집
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    • 한국해양정보통신학회 2005년도 춘계종합학술대회
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    • pp.285-288
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    • 2005
  • 신경회로망은 지능제어알고리즘 중의 하나로 학습능력을 가지고 있다. 이러한 학습능력 때문에 많은 분야에서 널리 사용되고 있으나, 지능제어의 단점인 안정도 문제를 수학적으로 증명하기 어렵다는 문제점을 갖고 있다. 본 논문에서는 신경회로망의 한 종류인 RBFN과 적응제어기법을 이용하여 로봇 매니퓰레이터 궤적 제어기를 구성하고 자 한다. 본 논문에서는 RBFN의 파라메터들을 적응제어기법을 이용하여 수학적으로 구하였고, 시스템의 안정도를 수학적으로 UUB를 만족한다는 것을 증명하였다. 그리고 수평다관절로봇 매니퓰레이터 궤적제어기에 적용하였다.

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