• Title/Summary/Keyword: Lyapunov 안정

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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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Motion Control of Robot Manipulators using Visual Feedback (비젼을 이용한 로봇 매니퓰레이터의 자세제어)

  • Jie Min Seok;Lee Young Chan;Kim Chin Su;Lee Kang Woong
    • Journal of the Institute of Electronics Engineers of Korea SC
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    • v.43 no.1 s.307
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    • pp.13-20
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    • 2006
  • In this paper, we propose a motion control scheme of robot manipulators based on visual feedback under camera-in-hand configuration. The desired joint velocity and acceleration for motion control is made by the feature-based visual data in the outer loop. The control input for tracking feature points on the image plane uses robot kinematics dynamic. The proposed control input consists of the image feature and the joint velocity error to achieve robustness to the parametric uncertainty. The stability of the closed-loop system is proved by Lyapunov approach. Computer simulations and experiments on a two degree of freedom manipulator with 5 links are presented to illustrate the performance of proposed control system.

A Robust State Feedback Control of Gimbal System with Parametric Uncertainty (불확실성 파라미터를 포함하는 김발시스템의 상태궤환 강인제어기 설계)

  • Jeon, YeongBeom;Choi, WooSeok;Han, JiHoon;Lee, SungWoo;Kang, TaeHa
    • Journal of the Institute of Electronics and Information Engineers
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    • v.52 no.8
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    • pp.140-147
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    • 2015
  • In this paper, we propose a state feedback robust controller of 2-axis gimbal system which have bounded parametric uncertainty. The proposed controller is robust against dynamics variations of gimbal system and contains a dynamic compensator in order to improve a steady state error and a transient response. The stability of the closed-loop system is proved by Lyapunov approach. The performance of the proposed method is demonstrated by simulation on a 2-axis gimbal system.

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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On Stability of the Pulsed Plasma Thruster for STSAT-2 based on the Lyapunov Function (리아프노프 함수에 기초한 과학기술위성 2호 펄스형 플라즈마 전기추력기의 동작 안정성 연구)

  • Sin, Gu-Hwan;Nam, Myeong-Yong;Gang, Gyeong-In;Im, Jong-Tae;Cha, Won-Ho
    • Journal of the Korean Society for Aeronautical & Space Sciences
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    • v.34 no.1
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    • pp.95-102
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    • 2006
  • The PPT being currently developed for the flight model represents a significant leap in techniques and technology compared to the previous flight ones. The electrical energy to be charged in the pulsed plasma thruster (PPT) is a very important aspect to provide an uniform impulse bit ,, and a specific impulse ,, for satellite attitude control. In this paper, we propose a nonlinear control technique and a stability analysis based on the Lyapunov function for the pulsed plasma thruster. Specifically, the proposed control law guarantees to charge and discharge the electrical energy generated from the power processing unit (PPU) within the specified time.

Robust H∞ Fuzzy Control for Discrete-Time Nonlinear Systems with Time-Delay (시간 지연을 갖는 이산 시간 비선형 시스템에 대한 H∞ 퍼지 강인 제어기 설계)

  • Kim Taek Ryong;Park Jin Bae;Joo Young Hoon
    • Journal of the Korean Institute of Intelligent Systems
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    • v.15 no.3
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    • pp.324-329
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    • 2005
  • In this paper, a robust $H\infty$ stabilization problem to a uncertain discrete-time nonlinear systems with time-delay via fuzzy static output feedback is investigated. The Takagj-Sugeno (T-S) fuzzy model is employed to represent an uncertain nonlinear system with time-delayed state. Then, the parallel distributed compensation technique is used for designing of the robust fuzzy controller. Using a single Lyapunov function, the globally asymptotic stability and disturbance attenuation of the closed-loop fuzzy control system are discussed. Sufficient conditions for the existence of robust $H\infty$ controllers are given in terms of linear matrix inequalities via similarity transform and congruence transform technique. We have shown the effectiveness and feasibility of the proposed method through the simulation.

A Decentralized Control Technique for Experimental Nonlinear Helicopter Systems (헬리콥터 시스템의 퍼지 분산 제어기 설계)

  • Kim, Moon-Hwan;Park, Jin-Bae;Lee, Ho-Jae;Cha, Dae-Bum;Joo, Young-Hoon
    • Journal of the Korean Institute of Intelligent Systems
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    • v.12 no.1
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    • pp.80-84
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    • 2002
  • This paper proposes a decentralized control technique for 2-dimensional experimental helicopter systems. The decentralized control technique is especially suitable in large-scale control systems. We derive the stabilization condition for the interconnected Takagi-Sugeno (TS) fuzzy system using the rigorous tool-Lyapunov stability criterion and formulate the controller design condition in terms of linear matrix inequality (LMI). To demonstrate the feasibility of the proposed method, we include the experiment result as well as a computer simulation one, which strongly convinces us the applicability to the industry.

Sensorless Sliding Mode Control of an Induction Motor using Adaptive Speed Observer (적응 속도 관측기를 사용한 유도전동기의 센서리스 슬라이딩 모드 제어)

  • Jie, Min-Seok;Kim, Chin-Su;Lee, Jae-Yong;Lee, Kang-Woong
    • Journal of Advanced Navigation Technology
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    • v.10 no.3
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    • pp.191-197
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    • 2006
  • In the paper propose a sensorless sliding mode control method of an induction motor using an adaptive speed control. The control objective is apply to adaptive speed observer instead of a encoder and to remove errors using the sliding mode current controller by parameters variation and disturbances that include the current controller. A stability of the sliding mode current controller and the adaptive speed observer using a design controller is guaranteed by the Lyapunov stability criterion. The performance of the proposed control system is demonstrated by simulation using the matlab silmulink and experimental results using induction motor show that the proposed method can apply an induction motor control.

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Parameter-dependent Robust Stability of Uncertain Singular Systems with Time-varying Delays (시변 시간지연을 가지는 불확실 특이시스템의 변수 종속 강인 안정성)

  • Kim, Jong-Hae
    • Journal of the Institute of Electronics Engineers of Korea SC
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    • v.47 no.4
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    • pp.1-6
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    • 2010
  • In this paper, we present a new delay-dependent and parameter-dependent robust stability condition for uncertain singular systems with polytopic parameter uncertainties and time-varying delay. The robust stability criterions based on parameter-dependent Lyapunov function are expressed as LMI (linear matrix inequality). Moreover, the proposed robust stability condition is a general algorithm for both singular systems and non-singular systems. Finally, numerical examples are presented to illustrate the feasibility and less conservativeness of the proposed method.

Asymptotically stable tracking control of mobile robots (이동로보트의 점근적으로 안정한 추종제어)

  • 김도현;오준호
    • 제어로봇시스템학회:학술대회논문집
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    • 1997.10a
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    • pp.187-190
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    • 1997
  • In the past few years, many researchers are interesting of control of mobile robot with nonholonomic constraints. And tracking problems is important as well as regulation in nonholonomic system control. Some researchers have investigated the stable tracking control law for mobile robot. But, few results showed the globally asymptotically stable control method simply. So, we address the design of globally asymptotically stable tracking control law for mobile robot with nonholonomic velocity constraints using simple method. The stabilizability of the controller is derived by Lyapunov direct method. And we analyze the system responses according to the variation of control parameters in line tracking problem. It is derived that the responses represent no overshoot property in line tracking. Examples are two-wheeled mobile robot and car-like mobile robot and the simulation results represent the effectiveness of our method.

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