• Title/Summary/Keyword: Lyapunov algorithm

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ON GLOBAL EXPONENTIAL STABILITY FOR CELLULAR NEURAL NETWORKS WITH TIME-VARYING DELAYS

  • Kwon, O.M.;Park, Ju-H.;Lee, S.M.
    • Journal of applied mathematics & informatics
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    • v.26 no.5_6
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    • pp.961-972
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    • 2008
  • In this paper, we consider the global exponential stability of cellular neural networks with time-varying delays. Based on the Lyapunov function method and convex optimization approach, a novel delay-dependent criterion of the system is derived in terms of LMI (linear matrix inequality). In order to solve effectively the LMI convex optimization problem, the interior point algorithm is utilized in this work. Two numerical examples are given to show the effectiveness of our results.

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Intelligent Control of Robot Manipulator Using DSPs(TMS320C80) (DSPs(TMS320C80)을 이용한 로봇 매니퓰레이터의 지능제어)

  • 이우송;김용태;한성현
    • Proceedings of the Korean Society of Machine Tool Engineers Conference
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    • 2003.10a
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    • pp.219-226
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    • 2003
  • In this paper, it is presented a new scheme of adaptive-neuro control system to implement real-time control of robot manipulator. Unlike the well-established theory fir the adaptive control of linear systems, there exists relatively little general theory fir the adaptive control of nonlinear systems. Adaptive control technique is essential fir providing a stable and robust performance fir application of robot control. The proposed neuro control algorithm is one of teaming 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 f3r real-time control of robot system using DSPs.

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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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    • 2003.04a
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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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Robust Predictive Control of Robot Manipulators with Uncertainties (불확실 로봇 매니퓰레이터의 견실 예측 제어기 설계)

  • 김정관;한명철
    • Journal of Institute of Control, Robotics and Systems
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    • v.10 no.1
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    • pp.10-14
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    • 2004
  • We present a predictive control algorithm combined with the robust robot control that is constructed on the Lyapunov min-max approach. Since the control design of a real manipulator system may often be made on the basis of the imperfect knowledge about the model, it is an important trend to design a robust control law that guarantees the desired properties of the manipulator under uncertain elements. In the preceding robust control work, we need to tune several control parameters in the admissible set where the desired stability can be achieved. By introducing an optimal predictive control technique in robust control we can find out much more deterministic controller for both the stability and the performance of manipulators. A new class of robust control combined with an optimal predictive control is constructed. We apply it to a simple type of 2-link robot manipulator and show that a desired performance can be achieved through the computer simulation.

Robust Control of Robot Manipulator Based-on DSPs(TMS320C50) (DSPs(TMS320C50)을 이용한 로봇 매니퓰레이터의 견실제어)

  • 이우송;김종수;김홍래;한성현
    • Proceedings of the Korean Society of Machine Tool Engineers Conference
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    • 2004.10a
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    • pp.193-200
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    • 2004
  • In this paper, it is presented a new scheme of adaptive-neuro control system 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 learning 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.

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Adaptive Flux Observer with On-line Inductance Estimation of an Interior PM Synchronous Machine Considering Magnetic Saturation

  • Jeong, Yu-Seok;Lee, Jun-Young
    • Journal of Power Electronics
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    • v.9 no.2
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    • pp.188-197
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    • 2009
  • This paper presents an adaptive flux observer to estimate stator flux linkage and stator inductances of an interior permanent-magnet synchronous machine considering magnetic saturation. The concept of static and dynamic inductances due to saturation is introduced in the machine model to describe the relationship between current and flux linkage and the relationship between their time derivatives. A flux observer designed in the stationary reference frame with constant inductance is analyzed in the rotor reference frame by a frequency-response characteristic. An adaptive algorithm for an on-line inductance estimation is proposed and a Lyapunov-based analysis is given to discuss its stability. The dynamic inductances are estimated by using Taylor approximation based on the static inductances estimated by the adaptive method. The simulation and experimental results show the feasibility and performance of the proposed technique.

A Robust Adaptive Friction Control of Robot Manipulators using Sliding Surface (슬라이딩 표면을 이용한 로봇 매니퓰레이터의 강건한 적응 마찰 제어)

  • Bae, Jun-Kyung
    • The Transactions of The Korean Institute of Electrical Engineers
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    • v.60 no.11
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    • pp.2139-2146
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    • 2011
  • In this paper, a robust adaptive controller is proposed for trajectory tracking of robot manipulators with the unknown friction coefficient and bounded disturbance. A new adaptive control law is developed based on sliding mode and derived from the Lyapunov stability analysis. The introduction of a boundary layer solves the problem of chattering. The proposed adaptive controller is globally asymptotically stable and guarantees zero steady state error for joint positions. The estimated friction coefficients can also approach the actual coefficients asymptotically. A simulation example is provided to demonstrate the performance of the proposed algorithm.

Formation Control of Mobile Robot for Moving Object Tracking (이동물체 추적을 위한 이동로봇의 대형제어)

  • Oh, Young-Suk;Lee, Chung-Ho;Park, Jong-Hun;Kim, Jin-Hwan;Huh, Uk-Youl
    • The Transactions of The Korean Institute of Electrical Engineers
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    • v.60 no.4
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    • pp.856-861
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    • 2011
  • The mobile robot controller is designed to track the target and to maintain the formation at the same time. Formation control is included in mobile robot controller by extending the trajectory tracking algorithm. The dynamic model of mobile robot is used with kinematic model considering the practical physical parameters of mobile robot. The dynamic model of mobile robot transforms velocity control input of kinematic model into torque control input which is the practical control input of mobile robot. Formation controller of mobile robot is designed to satisfy Lyapunov stability by backstepping method. The designed formation controller is applied to the mobile robot for various target movements and simulated to confirm the Lyapunov stability.

Image Sharpening based on Cellular Automata with the Local Transition Rule (국소 천이규칙을 갖는 셀룰러 오토마타를 이용한 영상 첨예화)

  • Lee, Seok-Ki
    • Proceedings of the Korea Information Processing Society Conference
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    • 2010.04a
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    • pp.502-504
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    • 2010
  • We propose novel transition rule of cellular automata for image enhancement and sharpening algorithm using it. Transition rule present sequential and parallel behavior. it also satisfy Lyapunov function. This image sharpening was developed and experimented by using a dynamic feature of convergence to fixed points. We can obtain efficiently sharpened image by performing arithmetic operation at the gradual parts of difference of brightness without image information.

A Robust Controller Design for Manipulators using Time-Varying Sliding Manifolds (시변 스위칭 평면을 이용한 로보트 매니퓰레이터의 견실한 제어기의 설계)

  • Park, Gwi-Tae;Kim, Dong-Sik;Lim, Sung-Jun
    • Proceedings of the KIEE Conference
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    • 1990.11a
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    • pp.391-395
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    • 1990
  • A new control algorithm is developed to achieve the robust performance of the system during the overall control process. Time-varying sliding manifolds are proposed to remove the reaching phase which is one of common shortcomings of variable structure control scheme. A necessary and sufficient condition for the existence of a sliding mode on the newly proposed time-varying sliding mode on the newly proposed time-varying sliding manifolds is derived by Lyapunov's second method. The digital simulation results show that the newly proposed control algorithm is superior to the typical variable structure control algorithm with respect to the robust performance of the system. The simplicity of the proposed control algorithm encourages control engineers to implement the proposed control algorithm in many control problems.

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