FAST TERMINAL SYNERGETIC BASED CONTROL OF COLEMAN -HODGDON HYSTERESIS MODEL

Abstract

A new fast terminal synergistic controller for trajectory tracking of a P.E.A. piezoelectric positioning mechanism with a Coleman-Hodgdon hysteresis model is proposed in this manuscript. The control proposed in this paper is based on classical synergistic control, it is considered a powerful robust control design methodology, with a choice of nonlinear macro-variable can often be adjusted appropriately to achieve a fast convergence rate, the system states can reach the equilibrium point in a finite time. The proposed control law is capable of handling disturbances and uncertainties, which allows the system state to converge in finite time. The implementation conditions of the control developed in this work are studied and the closed-loop stability is guaranteed by the Lyapunov synthesis. A comparison between the terminal fast synergetic control and the classical synergetic control shows the efficiency and robustness of the proposed control in terms of overshoot and response time and that the performance errors of the terminal fast control are improved