• Title/Summary/Keyword: lyapunov

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$H_{\infty}$ Control of the Two-Mass Resonant System by LMI (LMI에 의한 2관성 공진계의 $H_{\infty}$제어)

  • Kim, Jin-Soo;Kim, Seoung-Beom;Shin, Jae-Hwa;Kim, Young-Seok
    • Proceedings of the KIEE Conference
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    • 1997.07f
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    • pp.2196-2199
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    • 1997
  • In the industrial motor drive system, a shaft torsional vibration is often generated when a motor and a load are connected with a flexible shaft. This paper treats the vibration suppression control of such a system. In this paper, a control system design method using Linear Matrix Inequality (LMI), which is a tool for control design that replaces or complements Lyapunov-Riccati equations, is provided and a $H_{\infty}$ speed controller for a induction motor by LMI is proposed. In the $H_{\infty}$ speed controller, weights are used to satisfy tracking and disturbance rejection. Experimental results show the validity of the proposed $H_{\infty}$ speed controller by LMI, and this controller is compared with the state feedback controller.

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Robust Nonlinear Speed Control of PM Synchronous Motor using Adaptive and Sliding Mode Control Techniques (적응제어와 슬라이딩제어를 이용한 영구자석 동기전동기의 비선형 강인제어)

  • 백인철;김경화;윤명중
    • Proceedings of the KIPE Conference
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    • 1997.07a
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    • pp.70-78
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    • 1997
  • A DSP-based nonlinear speed control of a permanent magnet synchronous motor(PMSM) which is robust to unknown parameter variations and speed measurement error is presented. The model reference adaptive system(MRAS) based adaptation mechanisms for the estimation of slowly varying parameters are derived using the Lyapunov stability theory. For the disturbances or quickly varying parameters, a quasi-linearized and decoupled model including the influence of parameter variations and speed measurement error on the nonlinear speed control of the PMSM is derived. Based on this model, a boundary layer integral sliding mode controller to improve the robustness and performance of a PMSM drive is designed and compared with the conventional controller. To show the validity of the proposed control scheme, simulations and experimental works are carried out and compared with the conventional control scheme.

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A Robust Sensorless Vector Control System for Induction Motors

  • Huh Sung-Hoe;Choy Ick;Park Gwi-Tae
    • Proceedings of the KIPE Conference
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    • 2001.10a
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    • pp.443-447
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    • 2001
  • In this paper, a robust sensorless vector control system for induction motors with a speed estimator and an uncertainty observer is presented. At first, the proposed speed estimator is based on the MRAS(Mode Reference Adaptive System) scheme and constructed with a simple fuzzy logic(FL) approach. The structure of the proposed FL estimator is very simple. The input of the FL is the rotor flux error difference between reference and adjustable model, and the output is the estimated incremental rotor speed Secondly, the unmodeled uncertainties such as parametric uncertainties and external load disturbances are modeled by a radial basis function network(RBFN). In the overal speed control system, the control inputs are composed with a norminal control input and a compensated control input, which are from RBFN observer output and the modeling error of the RBFN, repectively. The compensated control input is derived from Lyapunov unction approach. The simulation results are presented to show the validity of the proposed system.

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Sliding mode control with adaptive VSS observer

  • Chen, Yi-Feng;Tsutomu Mita
    • 제어로봇시스템학회:학술대회논문집
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    • 1991.10b
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    • pp.1924-1929
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    • 1991
  • The conventional sliding mode control and variable structure control (VSC) of nonlinear uncertain system are well known for their robust property and simplity of control law. However, the use of them is only pardonable on the assumption that the upper-bound of parameter variation or nonlinearity is known and that the complete information about state is available. Though the former has been solved with adaptive robust control theory recently, the latter seems not to be solved. In this paper, we try to solve this problem using the technique of VSS adaptive robust control theory. That is, we propose a VSS adaptive observer and a sliding mode control incorporated with this observer. We can prove the robust stability of the closed system applying the Lyapunov's second method.

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Stability analysis of piezopolymer flexible twisting micro-actuator with a linear feedback control

  • Sasaki, M.;Wang, P.K.C.;Fujisawa, F.
    • 제어로봇시스템학회:학술대회논문집
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    • 1993.10b
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    • pp.197-201
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    • 1993
  • A method for the closedloop control of the torsional tip motion of a piezo-polymer actuator is presented. The application of Lyapunov's direct, method to the problem is explored. A feedback control of the torsional tip motion of tile piezopolymer actuator is derived by considering tile time rate of change of the total energy of the system. If the angular velocity of the tip of the actuator is known, all the modes of tile actuator can be controlled simultaneously. This approach has tile advantage over the conventional methods in the respect that it allows one to directly with tile system's partial differential equations without resorting to approximations.

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Optimal motion control for robot manipulators

  • Shin, Jin-Ho;Lee, Ju-Jang
    • 제어로봇시스템학회:학술대회논문집
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    • 1993.10b
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    • pp.179-184
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    • 1993
  • In this paper, an optimal motion control scheme is proposed for robot manipulators. A simple explicit solution to the Hamilton-Jacobi equation is presented. The optimization of motion control is based on the mininization of the torque term affecting the kinetic energy and the augmented error which has the first-order stable dynamics for the position and velocity tracking error. In the presence of parametric uncertainty, an adaptive control scheme using the optimal principle is proposed. The global stability of the closed-loop system is guaranteed by the Lyapunov stability approach, The effectiveness and feasibility of the proposed control schemes are shown by simulation results.

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System model reduction by weighted component cost analysis

  • Kim, Jae-Hoon;Skelton, Robert-E.
    • 제어로봇시스템학회:학술대회논문집
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    • 1993.10b
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    • pp.524-529
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    • 1993
  • Component Cost Analysis considers any given system driven by a white noise process as an interconnection of different components, and assigns a metric called "component cost" to each component. These component costs measure the contribution of each component to a predefined quadratic cost function. One possible use of component costs is for model reduction by deleting those components that have the smallest component cost. The theory of Component Cost Analysis is extended to include finite-bandwidth colored noises. The results also apply when actuators have dynamics of their own. When the dynamics of this input are added to the plant, which is to be reduced by CCA, the algorithm for model reduction process will be called Weighted Component Cost Analysis (WCCA). Closed-form analytical expressions of component costs for continuous time case, are also derived for a mechanical system described by its modal data. This is very useful to compute the modal costs of very high order systems beyond Lyapunov solvable dimension. A numerical example for NASA's MINIMAST system is presented.presented.

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Delay-Dependent Observer-Based Control for a Class of Neutral Systems with Time-Varying Delays (시간 변동 시간 지연을 가지는 뉴트럴 시스템의 관측기 설계에 관한 연구)

  • Song, Min-Guk;Ju, Yeong-Hun;Park, Jin-Bae
    • Proceedings of the Korean Institute of Intelligent Systems Conference
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    • 2007.04a
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    • pp.372-375
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    • 2007
  • 본 논문은 시간 변동 시간 지연을 가지는 선형 Neutral 시스템에 관한 관측기 설계에 대해서 논의한다. 시간 지연을 가지는 시스템의 안정도를 판별하기 위하여 Lyapunov-Krasovskii의 이론을 도입한다. 시스템의 안정도를 위한 조건으로 시간 변동 시간 지연에 종속적인 충분조건을 제시한다. 선형 행렬 부등식을 이용하여 관측기의 이득값을 설계하며, 오차 상태 방정식의 안정도를 판별한다. 본 논문의 결과는 Luenberger가 제안한 관측기의 일반적인 결과를 나타낸다. 모의실험을 통해 논문의 결과를 입증하였다.

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Robust Decentralized Adaptive Controller for Trajectory Tracking Control of Uncertain Robotic Manipulators (비중앙 집중식 강성 적응 제어법을 통한 산업용 로봇 궤도추적제어)

  • 유삼상
    • Journal of the Korean Society of Fisheries and Ocean Technology
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    • v.30 no.4
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    • pp.329-340
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    • 1994
  • This paper presents a dynamic compensation methodology for robust trajectory tracking control of uncertain robot manipulators. To improve tracking performance of the system, a full model-based feedforward compensation with continuous VS-type robust control is developed in this paper(i.e,. robust decentralized adaptive control scheme). Since possible bounds of uncertainties are unknown, the adaptive bounds of the robust control is used to directly estimate the uncertainty bounds(instead of estimating manipulator parameters as in centralized adaptive control0. The global stability and robustness issues of the proposed control algorithm have been investigated extensively and rigorously via a Lyapunov method. The presented control algorithm guarantees that all system responses are uniformly ultimately bounded. Thus, it is shown that the control system is evaluated to be highly robust with respect to significant uncertainties.

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Artifacts characteristic analysis of EEG (EEG의 잡파 특성 분석)

  • 양은주;조한범;김응수
    • Proceedings of the Korean Institute of Intelligent Systems Conference
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    • 2002.05a
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    • pp.87-90
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    • 2002
  • 뇌파(Electroencephalogram, EEG)는 뇌 신경세포가 정보를 처리하는 과정에서 발생하는 전기적인 신호를 두피 표면에서 측정한 것이다. 이러한 뇌파는 비침습적인 방법으로 전기적인 신호를 측정하며 측정시 여러 잡파(artifact)가 섞이기 쉽다. 이러한 잡파는 뇌의 정보처리과정에 대한 유용한 정보를 담고 있는 뇌파를 분석하는데 방해가 되므로 이를 제거하기 위한 노력이 계속되어 왔다. 그러나 본 연구에서는 보다 적극적인 방향으로 잡파가 섞인 뇌파의 특성을 분석하여 이를 통해 제어 시스템 등과 같은 시스템에 적용할 수 있는 가능성을 알아보았다. 대표적인 잡파인 eye_blinking, eye_rolling, muscle 등이 각각 포함된 뇌파에 대해서 선형 및 비선형 분석을 실시함으로써 유의미한 특성 차이를 나타내었다.

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