• Title/Summary/Keyword: control Lyapunov function

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Modified Sliding Mode Control of Structures Using MR Dampers (MR 감쇠기를 이용한 구조물의 변형된 슬라이딩 모드 제어)

  • 민경원;정진욱
    • Transactions of the Korean Society for Noise and Vibration Engineering
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    • v.12 no.3
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    • pp.243-250
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    • 2002
  • Semi-active control devices have received significant attention in recent Years because they offer the adaptability of active-control devices without requiring the associated large power sources. Magnetorheological(MR) dampers are semiactive control devices that use MR fluids to produce controllable dampers. This paper applies sliding mode control method using target variation rate of Lyapunov function for the control of structures by use of MR dampers. The three-story building model under earthquake excitation is analyzed by installing a MR damper in the first-story. The performance of semi-active controllers designed by clipped-optimal algorithm and modified sliding mode control algorithm is compared to the performance of passive-type MR dampers. The results indicate that semi-active controllers achieve a greater reduction of responses than passive-type system and especially the controller by modified sliding mode control method shows a good applicability in the view of response control and control force.

Design of Integral Sliding Mode Control for Underactuated Mechanical Systems (부족구동 기계시스템을 위한 적분 슬라이딩 모드 제어기 설계)

  • Yoo, Dong Sang
    • Journal of the Korean Institute of Intelligent Systems
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    • v.23 no.3
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    • pp.208-213
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    • 2013
  • The problem of finding control laws for underactuated systems has attracted growing attention since these systems are characterized by the fact that they have fewer actuators than the degrees of freedom to be controlled. A sliding mode control based on the theory of variable structure systems is a robust methodology to control nonlinear systems. In this paper, a sliding mode control with integral sliding function is proposed and asymptotical stability is proved in the Lyapunov's sense for underactuated systems. In order to verify the effectiveness of the proposed control, computer simulations for an acrobot, which is a representative underactuated system, are performed. Using Mathworks' Simulink/Simscape, the acrobot dynamics is implemented and the proposed control is composed. Simulations demonstrate the effectiveness and usefulness of the proposed control.

A Feedback Linearization Control of Container Cranes: Varying Rope Length

  • Park, Hahn;Chwa, Dong-Kyoung;Hong, Keum-Shik
    • International Journal of Control, Automation, and Systems
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    • v.5 no.4
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    • pp.379-387
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    • 2007
  • In this paper, a nonlinear anti-sway controller for container cranes with load hoisting is investigated. The considered container crane involves a planar motion in conjunction with a hoisting motion. The control inputs are two (trolley and hoisting forces), whereas the variables to be controlled are three (trolley position, hoisting rope length, and sway angle). A novel feedback linearization control law provides a simultaneous trolley-position regulation, sway suppression, and load hoisting control. The performance of the closed loop system is shown to be satisfactory in the presence of disturbances at the payload and rope length variations. The advantage of the proposed control law lies in the full incorporation of the nonlinear dynamics by partial feedback linearization. The uniform asymptotic stability of the closed-loop system is assured irrespective of variations of the rope length. Simulation and experimental results are compared and discussed.

Adaptive Fuzzy Controller for the Nonlinear System with Unknown Sign of the Input Gain

  • Park Jang-Hyun;Kim Seong-Hwan;Moon Chae-Joo
    • International Journal of Control, Automation, and Systems
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    • v.4 no.2
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    • pp.178-186
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    • 2006
  • We propose and analyze a robust adaptive fuzzy controller for nonlinear systems without a priori knowledge of the sign of the input gain function. No assumptions are made about the type of nonlinearities of the system, except that such nonlinearities are smooth. The uncertain nonlinearities are captured by the fuzzy systems that have been proven to be universal approximators. The proposed control scheme completely overcomes the singularity problem that occurs in the indirect adaptive feedback linearizing control. Projection in the estimated parameters and switching in the control input are both not required. The stability of the closed-loop system is guaranteed in the Lyapunov viewpoint.

Decentralized Robust Adaptive Control for Robot Manipulators with Input Torque Saturation (입력 토크 포화를 갖는 로봇 매니퓰레이터에 대한 분산 강인 적응 제어)

  • Shin, Jin-Ho
    • Journal of Institute of Control, Robotics and Systems
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    • v.21 no.12
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    • pp.1160-1166
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    • 2015
  • This paper proposes a decentralized robust adaptive control scheme for robot manipulators with input torque saturation in the presence of uncertainties. The control system should consider the practical problems that the controller gain coefficients of each joint may be nonlinear time-varying and the input torques applied at each joint are saturated. The proposed robot controller overcomes the various uncertainties and the input saturation problem. The proposed controller is comparatively simple and has no robot model parameters. The proposed controller is adjusted by the adaptation laws and the stability of the control system is guaranteed by the Lyapunov function analysis. Simulation results show the validity and robustness of the proposed control scheme.

Switching Control for Second Order Nonlinear Systems Using Singular Hyperplanes

  • Yeom Dong-Hae;Choi Jin-Young
    • International Journal of Control, Automation, and Systems
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    • v.4 no.1
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    • pp.124-135
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    • 2006
  • In this paper, we propose a switching control method for a class of 2nd order nonlinear systems with single input. The main idea is to switch the control law before the trajectory of the solution arrives at singular hyperplanes which are defined by the denominator of the control law. The proposed method can handle a class of nonlinear systems which is difficult to be stabilized by the existing methods such as feedback linearization, backstepping, control Lyapunov function, and sliding mode control.

Adaptive fuzzy sliding mode control of seismically excited structures

  • Ghaffarzadeh, Hosein;Aghabalaei, Keyvan
    • Smart Structures and Systems
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    • v.19 no.5
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    • pp.577-585
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    • 2017
  • In this paper, an adaptive fuzzy sliding mode controller (AFSMC) is designed to reduce dynamic responses of seismically excited structures. In the conventional sliding mode control (SMC), direct implementation of switching-type control law leads to chattering phenomenon which may excite unmodeled high frequency dynamics and may cause vibration in control force. Attenuation of chattering and its harmful effects are done by using fuzzy controller to approximate discontinuous part of the sliding mode control law. In order to prevent time-consuming obtaining of membership functions and reduce complexity of the fuzzy rule bases, adaptive law based on Lyapunov function is designed. To demonstrate the performance of AFSMC method and to compare with that of SMC and fuzzy control, a linear three-story scaled building is investigated for numerical simulation based on the proposed method. The results indicate satisfactory performance of the proposed method superior to those of SMC and fuzzy control.

A VSMFC Controller Design of Robot Manipulators Using Computed Torque Method (CTM을 위한 로보트 매니퓰레이터의 VSMFC 제어기 설계)

  • Park, Sei-Seung;Park, Chong-Kug
    • Journal of the Korean Institute of Telematics and Electronics
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    • v.27 no.10
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    • pp.53-59
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    • 1990
  • In the control of robot manipulators, this paper presents a design of a new variable structure model following controller(VSMFC) using computed torque method (CTM). A sufficient condition for the existence of a sliding mode is derived by Lyapunov function. The reference model is a double integrators and the acceleration input consists of a proportional-derivative controller for the purpose of the stabilization of system and the desired performance. The proposed control scheme which consists of upper bounded and estimated value of each term of the manipulator of matrix inversion. Therefore the simulation results show that this controller is improved to the convergence of desired trajectories.

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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 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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