• Title/Summary/Keyword: Lyapunov stability theorem

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Robust Adaptive Position Control for Servomotor Drive Using Fuzzy-neural Networks (퍼지 뉴럴 네트워크를 이용한 서보모터 드라이브의 강인 적응 위치 제어)

  • Hwang, Young-Ho;Lee, An-Yong;Kim, Hong-Pil;Yang, Hai-Won
    • Proceedings of the KIEE Conference
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    • 2006.07d
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    • pp.1834-1835
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    • 2006
  • A robust adaptive position control algorithm is proposed for servomotor drive system with uncertainties and load disturbance. The proposed controller is comprised of a nominal controller and a robust control. The nominal controller is designed in the condition without all the external load disturbance, nonlinear friction and unpredicted uncertainties. The robust controller containing lumped uncertainty approximator using fuzzy-neural network(FNN) is designed to dispel the effect of uncertainties and load disturbance. The interconnection weight of the FNN can be online tuned in the sense of the Lyapunov stability theorem thus asymptotic stability of the proposed control system can be guaranteed. Finally, simulation results verify that the proposed control algorithm can achieve favorable tracking performance for the induction servomotor drive system.

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Stability and a scheduling method for network-based control systems (네트워크를 이용한 제어 시스템의 안정도 및 스케줄링에 관한 연구)

  • 김용호;권욱현;박홍성
    • 제어로봇시스템학회:학술대회논문집
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    • 1996.10b
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    • pp.1432-1435
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    • 1996
  • This paper obtains maximum allowable delay bounds for stability of network-based control systems and presents a network scheduling method which makes the network-induced delay be less than the maximum allowable delay bound. The maximum allowable delay bounds are obtained using the Lyapunov theorem. Using the network scheduling method, the bandwidth of a network can be allocated to each node and the sampling period of each sensor and controller can be determined. The presented method can handle three kinds of data (periodic, real-time asynchronous, and non real-time asynchronous data) and guarantee real-time transmissions of real-time synchronous data and periodic data, and possible transmissions of non real-time asynchronous data. The proposed method is shown to be useful by examples in two types of network protocols such as the token control and the central control.

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Position Control of Ball-Screw Systems with Compensation of Estimated Coulomb Friction (추정된 쿨롱 마찰을 보상한 볼-스크류 시스템의 위치제어)

  • Kim, Han-Me;Choi, Jeong-Ju;Lee, Young-Jin;Kim, Jong-Shik
    • Proceedings of the KSME Conference
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    • 2003.04a
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    • pp.893-898
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    • 2003
  • Coulomb friction is an important factor for precise position tracking control systems. The control systems with friction causes the steady state error because of being sensitive to the change of system condition and highly nonlinear characteristics. To overcome these problems, we use an estimation scheme of Coulomb friction to experiment for it's compensating. The estimated factor for Coulomb friction is used as a feed-forward compensator to improve the tracking performance of ball-screw systems. The tracking performance was improved by compensating the estimated friction torque in the feed-forward term. And, the sliding mode control which is derived from the Lyapunov stability theorem is applied for robust stability and reducing chattering. The experimental results show that the sliding mode controller with adaptive friction compensator has a good tracking performance compared with the friction uncompensated controller.

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Adaptive High-Order Neural Network Control of Induction Servomotor System (유도기 서보모터 시스템의 적응 고차 신경망 제어)

  • Kim, Do-Woo;Chung, Ki-Chull;Lee, Seng-Hak
    • The Transactions of the Korean Institute of Electrical Engineers D
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    • v.54 no.11
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    • pp.650-653
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    • 2005
  • In this paper, adaptive high-order neural network controller(AHONNC) is adopted to control an induction servomotor. A algorithm is developed by combining compensation control and high-order neural networks. Moreover, an adaptive bound estimation algorithm was proposed to estimate the bound of approximation error. The weight of the high-order neural network can be online tuned in the sense of the Lyapunov stability theorem; thus, the stability of the closed-loop system can be guaranteed. Simulation results for induction servomotor drive system are shown to confirm the validity of the proposed controller.

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.

Stabilization of Input-Delayed TS Fuzzy Systems

  • Lee, Ho-Jae;Park, Jin-Bae;Cha, Dae-Beum;Joo, Young-Hoon
    • Proceedings of the Korean Institute of Intelligent Systems Conference
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    • 2001.05a
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    • pp.140-143
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    • 2001
  • In this paper, a control problem of the Takagi-Sugeno(TS) fuzzy system with time-varying input delay is considered. It is well known that the delay is one of the major sources responsible for the instability of the controlled system. A systematic design technique is developed based on the Lyapunov-Razumikhin stability theorem. A sufficient condition for the global asymptotic stability of the TS fuzzy systems is formulated in terms of linear matrix inequalities (LMIs). The derived condition can deal with any time-varying input delay within the admissible bound. The effectiveness of the proposed controller design technique is demonstrated by a numerical simulation.

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Robust Pole Assignment of Uncertain Linear Systems (불확정성 선형 시스템의 강인 극점 배치)

  • Kim, Jae-Seong;Kim, Jin-Hun
    • The Transactions of the Korean Institute of Electrical Engineers D
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    • v.49 no.4
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    • pp.183-190
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    • 2000
  • It is well-known that the poles of a system are closely related with the dynamics of the systems, and the pole assignment problem, which locates the poles in the desired regions, in one of the major problem in control theory. Also, it is always possible to assign poles to specific points for exactly known linear systems. But, it is impossible for the uncertain linear systems because of the uncertainties that originate from modeling error, system variations, sensing error and disturbances, so we must consider some regions instead of points. In this paper, we consider both the analysis and the design of robust pole assignment problem of linear system with time-varying uncertainty. The considered uncertainties are the unstructured uncertainty and the structured uncertainty, and the considered region is the circular region. Based on Lyapunov stability theorem and linear matrix inequality(LMI), we first present the analysis result for robust pole assignment, and then we present the design result for robust pole assignment. Finally, we give some numerical examples to show the applicability and usefulness of our presented results.

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Integrated Design of Rotary UAV Guidance and Control Systems Utilizing Sliding Mode Control Technique

  • Hong, You-Kyung;Kim, You-Dan
    • International Journal of Aeronautical and Space Sciences
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    • v.13 no.1
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    • pp.90-98
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    • 2012
  • In this paper, the Integrated Guidance and Control (IGC) law is proposed for the Rotary Unmanned Aerial Vehicle (RUAV). The objective of the IGC law is to consider the nonlinear dynamic characteristics of the RUAV and to design a guidance law which takes into consideration the nonlinear relationship between kinematics and dynamics. In order to control the RUAV system, sliding mode control scheme is adopted. As the RUAV is an under-actuated system, a slack variable approach is used to generate the available control inputs. Through the Lyapunov stability theorem, the stability of the proposed IGC law is proved. In order to verify the performance of the IGC law, numerical simulations are performed for waypoint tracking missions.

Adaptive High-Order Neural Network Control of Induction Servomotor Drive System (인덕션 서보 모터 드라이브 시스템의 적응 고차 신경망 제어)

  • Jeong, Jin-Hyeok;Park, Seong-Min;Hwang, Yeong-Ho;Yang, Hae-Won
    • Proceedings of the KIEE Conference
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    • 2003.11c
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    • pp.903-905
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    • 2003
  • In this paper, adaptive high-order neural network controller(AHONNC) is adopted to control of an induction servomotor. A algorithm is developed by combining compensation control and high-order neural networks. Moreover, an adaptive bound estimation algorithm was proposed to estimate the bound of approximation error. The weight of the high-order neural network can be online tuned in the sense of the Lyapunov stability theorem; thus, the stability of the closed-loop system can be guaranteed. Simulation results for induction servomotor drive system are shown to confirm the validity of the proposed controller.

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Active Vibration Suppression Using Sweeping Damping Controller (움직이는 감쇠제어기를 이용한 능동진동제어)

  • Bae, Byung-Chan;Kwak, Moon-K.;Lee, Myung-Il
    • Proceedings of the Korean Society for Noise and Vibration Engineering Conference
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    • 2005.11a
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    • pp.293-296
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    • 2005
  • This paper is concerned with the sweeping damping controller for beam. The active damping characteristics can be enhanced by moving the damper along the longitudinal axis. In this paper, the equation of motion for a beam including a sweeping damping controller is derived and its stability is proved by using Lyapunov stability theorem. It is found from the theoretical study that the sweeping damping controller can enhance the active damping characteristics, so that a single damper can suppress all the vibration modes of the beam. To demonstrate the concept of the sweeping damping control, the eddy current damper was applied to a cantilever, where the eddy current damping can move along the axis. The experimental result shows that the sweeping eddy current damper Is an effective device for vibration suppression.

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