• Title/Summary/Keyword: Lyapunov Method

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Fluid Flow and Stirring in a Rectanguar Tank - Effect of the Plate Length - (직사각형 용기 내에서의 유동 및 교반특성 - 중앙평판 길이의 영향 -)

  • 문종춘;서용권
    • Transactions of the Korean Society of Mechanical Engineers
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    • v.18 no.10
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    • pp.2698-2705
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    • 1994
  • In this paper, the fluid flow and stirring in a rectangular tank focussing on the effect of the plate length is studied numerically and experimentally. the flow model and the method of analysis are the same as those reported previously. The stirring effect changes considerably when the plate length is varied. When the plate is short, the friction at the bottom wall reduces the strength of the vortical flow resulting in a lower stirring effect. When the plate is long, the stirring effect is decreased due to the growth of the regular regions near the lower corners. The stirring effect is the best when the plate length is roughly half the width of the container.

Design of a real Time Adaptive Controller for Industrial Robot Using Digital Signal Processor (디지털 신호처리기를 사용한 산업용 로봇의 실시간 적응제어기 설계)

  • 최근국
    • Proceedings of the Korean Society of Machine Tool Engineers Conference
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    • 1999.10a
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    • pp.154-161
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    • 1999
  • This paper presents a new approach to the design of adaptive control system using DSPs(TMS320C30) for robotic manipulators to achieve trajectory tracking by the joint angles. Digital signal processors are used in implementing real time adaptive control algorithms to provide an enhanced motion control for robotic manipulators. In the proposed control scheme, adaptation laws are derived from the improved Lyapunov second stability analysis method based on the adaptive model reference control theory. The adaptive controller consists of an adaptive feedforward controller, feedback controller, and PID type time-varying auxillary control elements. The proposed adaptive control scheme is simple in structure, fast in computation, and suitable for implementation of real-time control. Moreover, this scheme does not require an accurate dynamic modeling, nor values of manipulator parameters and payload. Performance of the adaptive controller is illustrated by simulation and experimental results for a SCARA robot.

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PERIODIC SOLUTIONS FOR DISCRETE ONE-PREDATOR TWO-PREY SYSTEM WITH THE MODIFIED LESLIE-GOWER FUNCTIONAL RESPONSE

  • Shi, Xiangyun;Zhou, Xueyong;Song, Xinyu
    • Journal of applied mathematics & informatics
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    • v.27 no.3_4
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    • pp.639-651
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    • 2009
  • In this paper, we study a discrete Leslie-Gower one-predator two-prey model. By using the method of coincidence degree and some techniques, we obtain the existence of at least one positive periodic solution of the system. By linalization of the model at positive periodic solution and construction of Lyapunov function, sufficient conditions are obtained to ensure the global stability of the positive periodic solution. Numerical simulations are carried out to explain the analytical findings.

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The Control of Switched Reluctance Motor using MRAS without Speed and Position Sensor

  • Park, Jung-Ku;Shin, Jae-Hwa;Han, Yoon-Seok;Kim, Young-Seok
    • Proceedings of the KIPE Conference
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    • 1998.10a
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    • pp.768-773
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    • 1998
  • The speed control of SRM(Switched Reluctance Motor) needs the accurate position and speed data of rotor. This information is generally provided by a shaft encoder or resolver. In some cases, the environment is which the motor operates may cause difficulties in maintaining the satisfactory position detection performance. Therefore, the elimination of the position and speed sensor has gained wide attention. In this paper, a new algorithm for estimation of rotor position and speed is described for the SRM drives. This method uses is nonlinear adaptive observer using the MRAS(Model Reference Adaptive System). The observer is proved by Lyapunov Stability Theory. This algorithm was implemented with a TMS320C31 DSP. Experiment results prove that the observer is able to estimate the speed and position with a little errors.

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Robust Adaptive Law in Adaptive Mechanism Showing Chaotic Phenomenon (혼돈 현상을 보이는 적응기구에서의 강인한 적응법칙)

  • 전상영;임화영
    • The Journal of Korean Institute of Communications and Information Sciences
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    • v.19 no.7
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    • pp.1414-1420
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    • 1994
  • In this paper the existence of chaotic signal is probed in adaptive dead beat control law for nonlinear dynamic system. These chaotic signal makes the system unstable and difficult to control, but it broaden the range of application, confirms the robustness of system and gives a lot of information. Considering of low correlation between chaotic signals, robust adaptive control method which uses for parameter estimation is proposed. With this algorithm the parameters converges stable rapidly. Finally the superiority of it is proved by computer simulation.

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Performance Analysis of Proportional Navigation Guidance Law against Randomly Maneuvering Targets (임의의 방향조정을 하는 목표물에 대한 비례항법의 성능분석)

  • 하인중;고명삼;허종성;이택렬;안조영;이장규
    • The Transactions of the Korean Institute of Electrical Engineers
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    • v.39 no.2
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    • pp.192-198
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    • 1990
  • The performance of the proportional navigation guidance(PNG) law for a target with constant acceleration has been extensively studied in the prior literature. In this papaer, we consider the performance of the PNG law for a randomly maneuvering target. By means of Lyapunov method, we prove that an ideal missile guided by the conventional PNG law can always intercept a randomly maneuvering target if the initial missile heading error is small and the navigation constant is chosen sufficiently large. To the authors' best knowledge, this is the first analytic result on the performance of the PNG law for a target with time-varying acceleration.

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Local Stabilization of Input-Saturated Nonlinear Systems with Time-Delay via Fuzzy Control

  • Shin, Hyun-Seok;Park, Chul-Wan;Kim, Eun-Tai;Park, Min-Kee;Park, Mig-Non
    • International Journal of Fuzzy Logic and Intelligent Systems
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    • v.2 no.3
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    • pp.231-236
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    • 2002
  • In this paper, we present an analysis and design method fur the control of input-saturated nonlinear systems with the time-delay. The target system is represented by Takagi-Sugeno (T-S) fuzzy model and the parallel distributed compensation (PDC) controller is designed to guarantee the local stability of the equilibrium point. We derive the sufficient condition for the local stability by applying Lyapunov-krasovskii theorem and this condition is converted into the LMI problem.

Mixed $H_2$/$H_{\infty}$ Output Feedback Controller Design for Time-Delayed System (시간지연 시스템에 대한 혼합 $H_2$/$H_{\infty}$ 출력궤환 제어기 설계)

  • 양혜진;김종해;조용철;박흥배
    • 제어로봇시스템학회:학술대회논문집
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    • 2000.10a
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    • pp.331-331
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    • 2000
  • This paper presents the mixed $H_2/H_{\infty}$ output feedback controIler design method for linear systems with delayed state. The objective is to design the output feedback controller which minimizes the H$_2$-norm of one transfer function while ensuring the H$_{\infty}$-norm of the other is held below a chosen level. When objective is tormulated in terms of a common Lyapunov function, the sufficient conditions of existence of mixed $H_2/H_{\infty}$ controller are given in terms of LMIs. terms of LMIs.

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Robust control design applicable to general flexible joint manipulators (일반적인 유연조인트 로봇에 부합되는 견실제어설계)

  • Kim, Dong-Hwan;Chen, Ye-Hwa
    • Journal of Institute of Control, Robotics and Systems
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    • v.4 no.1
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    • pp.10-18
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    • 1998
  • 불확실한 변수와 비선형성을 가지는 유연조인트 로봇의 견실제어 방안을 제시한다. 그리고 본 시스템에서 불확실구조는 일치성을 유지하지 않는 불일치성 불확실 시스템이다. 제어기는 리아노프의 방안에 근거를 두고있다. 견실제어는 연산토크법을 사용하고 삽입제어기법을 통하여 좌표변환을 통해 구성된다. 제어기 설계과정은 우선 연산토크방법에 의해 시스템 동역학에서 정격부분을 선형으로 2개의 부분시스템으로 구성한다. 이후 좌표변환을 이용하여 각 부분시스템에 제어기를 구축한다. 이 방안을 통하여 관성 행렬이 알려진 값인 경우 이 행렬의 상위한계 조건없이 제어기를 설계할 수 있다. 따라서 임의의 형태의 로봇에도 적용 가능한 제어알고리즘이 된다. 설계된 견실제어는 변환된 시스템이나 원시스템 모두 실용적 안정성을 보장한다. 이 변환은 단지 불확실변수의 최대 한계값의 정보만을 요구한다.

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Sliding Mode Control for the Configuration of Satellite Formation Flying using Potential Functions

  • Lim, Hyung-Chul;Bang, Hyo-Choong;Kim, Hae-Dong
    • International Journal of Aeronautical and Space Sciences
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    • v.6 no.2
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    • pp.56-63
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    • 2005
  • Some methods have been presented to avoid collisions among satellites for satellite formation flying mission. The potential function method based on Lyapunov's theory is known as a powerful tool for collision avoidance in the robotic system because of its robustness and flexibility. During the last decade, a potential function has also been applied to UAV's and spacecraft operations, which consists of repulsive and attractive potential. In this study, the controller is designed using a potential function via sliding mode technique for the configuration of satellite formation flying. The strategy is based on enforcing the satellite to move along the gradient of a given potential function. The new scalar velocity function is introduced such that all satellites reach the goal points simultaneously. Simulation results show that the controller drives the satellite toward the desired point along the gradient of the potential function and is robust against external disturbances.