• Title/Summary/Keyword: Lyapunov 안정 이론

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Nonlinear Control for A Robot Manipulator (로봇 매니퓰레이터에 대한 비선형 제어)

  • 이종용;이상효
    • The Journal of Korean Institute of Communications and Information Sciences
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    • v.17 no.12
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    • pp.1333-1342
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    • 1992
  • This paper deals with a robot manipulator having actuator which is described by equation $D(q)\ddot{q}=u-P(q\;\dot{q},\;\ddot{q})$ where u(t) is a control input. We employ two steps of controller design procedures. First, a global linearization is performed to yield a decoupled controllable linear system. Then a controller is designed for this linear system. We provide a rigorous analysis of the effect of uncertainty of the dynamics, which we study using robustness results in time domain based on a Lyapunov equation and the total stability theorem. Using this approach we simulate the performance of controller of a robot manipulator.

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A Study of Adaptive Load Torque Observer and Robust Precision Position Control of BLDD Motor (직접 구동용 BLDC 전동기의 정밀 Robust 위치제어 및 적응형 외란 관측기 연구)

  • 고종선;윤성구
    • The Transactions of the Korean Institute of Power Electronics
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    • v.4 no.2
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    • pp.138-143
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    • 1999
  • A new control method for the precision robust position control of a brushless DC(BLDC) motor for direct drive m motor(BLDDM) system using the asymptotically stable adaptive load torque observer is presented. A precision position c control is obtained for the BLDD motor system appro성mately linearized using the fieldlongrightarroworientation method. Many of t these motor systems have BLDD motor to obtain no backlashes. On the other hand, it has disadvantages such as the h high cost and more complex controller caused by the nonlinear characteristics. And the load torque disturbance is d directly affected to a motor shaft. To r밍ect this problem, stability analysis is calTied out using Lyapunov stability t theorem. Using this results, the stability is proved and load disturbance detected by the asymptotically stable adaptive observer is compensated by feedforwarding the equivalent CUlTent having the fast response.

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An Adaptive Compensator for Robot Manipulator with Unknown Frictions (미지의 마찰력을 갖는 로봇 매니퓰레이터에 대한 적응보상기)

  • Yoo, Byung-Kook;Han, Jong-Kil;Yang, Keun-Ho
    • Journal of the Institute of Convergence Signal Processing
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    • v.6 no.3
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    • pp.157-162
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    • 2005
  • This paper presents an adaptive compensator using the fuzzy systems for robot manipulator with unknown frictions. In general, frictions are neglected or dynamic frictions are only considered in robot control theories. The proposed control method considers viscous frictions as well as dynamic frictions. Using the property that the frictions of joints are decoupled, SISO-fuzzy systems are utilized to approximate each friction. The stability of overall control system is proven and the adaptive laws are derived based on Lyapunov stability theorey. To verify the validity of the proposed control strategy, the results of computer simulations are shown for 2-link robot manipulator. The ability of approximating of the fuzzy system is also shown.

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A VSMFC Design Method Using the Stability Theory of Lyapunov (Lyapunov 안정도 이론을 이용한 가변구조모델추종제어기 설계방법)

  • 안수관;배준경;박종국
    • The Transactions of the Korean Institute of Electrical Engineers
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    • v.38 no.12
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    • pp.983-994
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    • 1989
  • This paper presents a new variable structure model following control algorithm for control of manipulators. The reference model is a simple double integrators and the acceleration input for the robot manipulator consists of a proportional and derivative controller for the purpose of trajectory tracking. The control algorithm is derived by using Lyapunov stability theory instead of S.S < O, as is usual in the current VSS controller design. This proposed control algorithm does not require good knowledge of the parameter in the inertia matrix and is easily extendable to robot manipulators with a higher number of links. Also, the new algorithm is computationally fast because of not requiring the matrix inversion. The computer simulation was carried out to evaluate the performance of the proposed VSMFC.

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Adaptive Control of Flexible-Link Robots (유연마디 로봇의 적응제어)

  • Lee, Ho-Hun;Kim, Hyeon-Gi
    • Transactions of the Korean Society of Mechanical Engineers A
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    • v.24 no.7 s.178
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    • pp.1689-1696
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    • 2000
  • This paper proposes a new adaptive control scheme for flexible-link robots. A model-based nonlinear control scheme is designed based on a V-shape Lyapunov function, and then the nonlinear control i s extended to a model-based adaptive control to cope with parametric uncertainties in the dynamic model. The proposed control guarantees the global exponential or global asymptotic stability of the overall control system with all internal signals bounded. The effectiveness of the proposed control is shown by computer simulation.

A Nonlinear Model-Based Anti-Swing Control for Overhead Cranes with High Hoisting Speeds (권상/권하 속도가 큰 경우 크레인의 비선형 무진동 제어)

  • Lee, Ho-Hun;Jeon, Jong-Hak;Choe, Seung-Gap
    • Transactions of the Korean Society of Mechanical Engineers A
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    • v.25 no.9
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    • pp.1461-1467
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    • 2001
  • This paper proposes a new approach for the ant-swing control of overhead cranes. The proposed control consists of a model-based anti-swing control scheme and a practical path planning scheme. The anti-swing control scheme is designed based on the Lyapunov stability theorem; the proposed control does not require the usual constraints of small load mass, small load swing, slow hoisting speed, and small hoisting distance, but guarantees asymptotic stability while keeping all internal signals bounded. The path planning scheme is designed based on the concepts of minimum-time control and anti-swing control; the proposed path planning generates near-minimum-time trajectories independently of hoisting speed and distance. The effectiveness of the proposed control is shown by computer simulation.

A Study on Guidance Law Design and Simulation of Multiple UAV Formation Flying (다비행체 편대비행을 위한 유도법칙 및 시뮬레이션에 관한 연구)

  • No, Tae-Soo;Jeon, Gyeong-Eon
    • Journal of the Korean Society for Aeronautical & Space Sciences
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    • v.36 no.9
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    • pp.859-866
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    • 2008
  • A guidance scheme for controlling the relative geometry of multiple flight vehicle formation flying is proposed. Each flight vehicle in the formation takes the roles of leader and follower simultaneously except for the formation leader. In this scheme, the flight commands for a leader are shared by all the followers and this leaders to a synchronized flight of all flight vehicles comprising the formation. Lyapunov stability theorem is used to obtain the guidance law. High fidelity nonlinear simulation results are presented to show the effectiveness of the proposed guidance law using a reconnaissance and surveillance mission example.

Guidance Laws for Aircraft Automatic Landing (항공기 자동착륙 유도 법칙에 관한 연구)

  • Min, Byoung-Mun;No, Tae-Soo;Song, Ki-Jung
    • Journal of the Korean Society for Aeronautical & Space Sciences
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    • v.30 no.5
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    • pp.41-47
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    • 2002
  • In this paper, a guidance law applicable to aircraft automatic landing is proposed and its performance is compared with the conventional ILS-type landing approach. The concept of miss distance, which is commonly used in the missile guidance laws, and Lyapunov stability are effectively combined to obtain the landing guidance law. The new landing guidance law is integrated into the existing controller and is applied to the landing approach and flare phases of landing procedure. Numerical simulation results show that the new landing guidance law is a viable alternative to the conventional strategies that directly control the longitudinal deviation or altitude.

Wavelet Neural Network and Its Application (웨이브렛 신경회로망과 응용 -적응 제어 시스템 설계를 중심으로-)

  • 전홍태;서승진;이창민
    • Proceedings of the IEEK Conference
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    • 1999.06a
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    • pp.486-491
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    • 1999
  • 본 논문에서는 웨이브렛 신경회로망을 사용하여 알려지지 않은 비선형 시스템을 안정하게 적응 제어하는 문제를 다룬다. 비선형 시스템의 정확한 제어는 함수를 근사화하는 데 사용된 함수 근사화기의 정확성과 효율성에 의존한다. 이에 비선형 시스템 제어에 기준 함수의 선택이 자유롭고 함수 근사화 능력이 뛰어난 웨이브렛 신경회로망을 사용한다. 초기 웨이브렛 신경회로망 제어기 설정은 웨이브렛 신경회로망 변수인 신축과 이동 값을 제어기 입력의 시-주파수 특성을 분석해서 구하고, 연결강도는 Lyapunov 안정성 이론에 기초한 적응 법칙을 사용하여 조절한다. 이를 비선형 시스템인 역 진자 시스템에 적용한다.

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The Implementation of Self-Structuring Radial-Basis Function Network for Identification of Uncertain Nonlinear Systems (비선형 시스템의 동정을 위한 자기 구조화된 RBFN의 구현)

  • 김기범;전재춘;김동원;허성회;박귀태
    • Proceedings of the Korean Institute of Intelligent Systems Conference
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    • 2003.05a
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    • pp.329-332
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    • 2003
  • 본 논문에서는 새로이 제안된 자기 구조화하는(Self-structuring) 새로운 Radial-Basis Function Network(RBFN)에 대해서 실험적인 검증을 했다. 이 자기 구조화하는 새로운 RBFN은 기존의 RBFN과 비교해서 여러 장점이 있다. Lyapunov 이론에 기초해서 새로운 학습 규칙을 선정하였기 때문에 시스템의 안정도를 보장할 수 있다. 그리고, 자기 구조화의 과정 즉, 생성과 병합을 통해 은닉층에서 적정수의 뉴런을 결정할 수 있다. 기존의 RBFN과 성능을 비교하기 위하여, 실제 비선형 시스템인 2축 암로봇에 대해 실험한 결과를 보였다. 결과적으로, 우리는 실험결과를 통해 자기 구조화하는 RBFN의 효율적인 구조와 시스템에 대한 안정도를 보장함을 볼 수 있다.

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