LuGre Friction Model Estimation of a Precision Table and Sliding Mode Control Design

2009 ◽  
Vol 147-149 ◽  
pp. 264-271
Author(s):  
Shiuh Jer Huang ◽  
Chun Ming Chiu ◽  
M.C. Huang
Keyword(s):  
Sliding Mode Control ◽  
Sliding Mode ◽  
Control Design ◽  
Friction Model ◽  
System Stability ◽  
Adaptive Sliding Mode Control ◽  
Model Based ◽  
Mode Control ◽  
Lugre Friction Model ◽  
Lugre Friction

Piezoelectric friction actuating mechanism is chosen to construct long traveling range sub-micro X-Y positioning table. LuGre friction model is employed to simulate the friction dynamics of this positioning mechanism. The optimization scheme of Matlab toolbox is adopted to search the optimal friction model parameters. However, this piezoelectric actuating system has obvious nonlinear and time-varying dead-zone offset control voltage due to the static friction and preload. The estimated LuGre dynamic model is still not accurate enough for model-based precision control design. Hence, the adaptive sliding mode control (SMC) with robust behavior is employed to design the nonlinear controller for this piezoelectric friction actuating mechanism. The Laypunov-like design strategy is adopted to achieve the system stability criterion. The dynamic experimental results of the proposed nonlinear controllers are compared with that of a model-based PID controller, too.

scholarly journals Design Fuzzy Input-Based Adaptive Sliding Mode Control for Vessel Lift-Feedback Fin Stabilizers with Shock and Vibration of Waves

2017 ◽  
Vol 2017 ◽  
pp. 1-13 ◽  
Author(s):  
Lihua Liang ◽  
Mingxiao Sun ◽  
Tiantian Luan
Keyword(s):  
Sliding Mode Control ◽  
Controller Design ◽  
Sliding Mode ◽  
Feedback System ◽  
System Stability ◽  
Superior Performance ◽  
Adaptive Sliding Mode Control ◽  
Adaptive Sliding Mode ◽  
Mode Control ◽  
Fuzzy Input

An adaptive sliding mode controller based on fuzzy input design is presented, in order to reduce the roll motion of surface vessel fin stabilizers with shock and vibration of waves. The nonlinearities and uncertainties of the system including feedback errors and disturbance induced by waves are analyzed. And the lift-feedback system is proposed, which improves the shortage of conventional fin angle-feedback. Then the fuzzy input-based adaptive sliding mode control is designed for the system. In the controller design, the Lyapunov function is adopted to guarantee the system stability. Finally, experimental results demonstrate the superior performance of the controller designed using fuzzy input, when compared to the PID controller used in practical engineering.

Characteristic Model-Based Discrete Adaptive Sliding Mode Control for System with Time Delay

2016 ◽  
Vol 10 (2) ◽  
pp. 282-287 ◽  
Author(s):  
Hua Zhong ◽  
◽  
Junhong Yu ◽  
Hanzheng Ran ◽  
Keyword(s):  
Time Delay ◽  
Sliding Mode Control ◽  
Sliding Mode ◽  
Delay System ◽  
Adaptive Sliding Mode Control ◽  
Time Delay System ◽  
Characteristic Model ◽  
Model Based ◽  
Mode Control ◽  
Discrete Sliding Mode Control

A novel characteristic model-based discrete sliding mode control (CMDSMC) for time delay system is presented in this paper. Firstly, to solve the challenge of establishing a accurate and simple model for time delay system, characteristic theory is applied to establish characteristic mode with time delay. Secondly, due to the uncertainties of time delay system, discrete sliding mode control based on characteristic model is proposed and stability analysis is done. At last, two illustrative examples taken from literatures are included to indicate the simplicity and superiority of the proposed method.

LuGre Friction Model Based Adaptive Control With Functional Approximation Compensation for a Piezoelectric-Actuating Table

2010 ◽  
Author(s):  
Shiuh-Jer Huang ◽  
Kuan-Lian Her ◽  
Su-Hai Hsiang
Keyword(s):  
System Modeling ◽  
Friction Model ◽  
Hysteretic Behavior ◽  
System Stability ◽  
High Frequency Oscillation ◽  
Control Voltage ◽  
Functional Approximation ◽  
Model Based ◽  
Lugre Friction Model ◽  
Lugre Friction

Since the piezoelectric actuators have the disadvantages of small travel and hysteretic behavior, a long range friction actuating mechanism was designed. The piezoelectric material is used to generate high frequency oscillation for actuating a finger tip which contacted with a slide to induce the back and forth motion. The LuGre friction model is chosen to simulate the dynamics of this friction actuating mechanism. However, this piezoelectric actuating system has obvious nonlinear and time-varying dead-zone offset control voltage due to the static friction and preload. It is difficulty to establish an accurate dynamic model for model-based precision control design. Hence, the functional approximation (FA) scheme is employed to compensate the system modeling error. The Laypunov-like design strategy is adopted to derive the adaptive laws and the system stability criterion. Different trajectories tracking control are planned to investigate the motion control performance and the steady state error of this adaptive controller. The dynamic experimental results of the proposed controller are compared with that of a model-based PID controller.

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