Motion Control of a Piezoelectric Microprecision Positioner Using Diagonal Recurrent Neural Networks

Author(s):  
Jua-Liang Chen ◽  
Zong-Lin Chen

The objective of this paper is to design a suitable controller for a piezoelectric microprecision positioner. The dimensions of this positioner are 150 mm × 150 mm × 10 mm and with X-Y-θZ three degrees of freedoms. Piezo-electric actuators are used to drive the positioner, which is constructed by flexure structures. In order to improve the short stroke of PZT, simple-levers are added to the structures. In this research, a diagonal recurrent neural networks (DRNN) controller is added to the system with aim to reduce the effect causes by the hysteresis, inaccurate system model and phase lag, and to save time for adjusting control gains for PID control. From the experimental results, it shows that the positioning errors for the X-axis, Y-axis, and θ-axis of continuous stepping test are less than 20 nm and 0.15 μrad. For the ramp tracking test, the tracking errors are less than 30 nm and 0.3 μrad. For the circular tracking test, the tracking error is less than 55 nm for both X- and Y-axis.

Author(s):  
Şahin Yildirim ◽  
Sertaç Savaş

The goal of this chapter is to enable a nonholonomic mobile robot to track a specified trajectory with minimum tracking error. Towards that end, an adaptive P controller is designed whose gain parameters are tuned by using two feed-forward neural networks. Back-propagation algorithm is chosen for online learning process and posture-tracking errors are considered as error values for adjusting weights of neural networks. The tracking performance of the controller is illustrated for different trajectories with computer simulation using Matlab/Simulink. In addition, open-loop response of an experimental mobile robot is investigated for these different trajectories. Finally, the performance of the proposed controller is compared to a standard PID controller. The simulation results show that “adaptive P controller using neural networks” has superior tracking performance at adapting large disturbances for the mobile robot.


2012 ◽  
Vol 3 ◽  
pp. 139-146 ◽  
Author(s):  
Joel Perez P. ◽  
Jose P. Perez ◽  
Rogelio Soto ◽  
Angel Flores ◽  
Francisco Rodriguez ◽  
...  

2019 ◽  
Vol 66 (1) ◽  
pp. 98
Author(s):  
J. Perez Padrón ◽  
J.P. Pérez Padrón ◽  
C.F. Mendez-Barrios ◽  
E.J. Gonzalez-Galvan

This paper presents an application of a Fractional Order Time Delay Neural Networks to chaos synchronization. The two main methodologies, on which the approach is based, are fractional order time-delay recurrent neural networks and the fractional order  inverse optimal control for nonlinear systems. The problem of trajectory tracking is studied, based on the fractional order Lyapunov-Krasovskii and Lur’e theory, that achieves the global asymptotic stability of the tracking error between a delayed recurrent neural network and a reference function is obtained. The method is illustrated for the synchronization, the analytic results we present a trajectory tracking simulation of a fractional order time-delay dynamical network and the Fractional Order Chua’s circuits


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