A new continuous high order sliding mode controller for synchronizing perturbed Genesio-Tesi systems in finite time

This paper presents the solution for synchronizing of perturbed Genesio-Tesi systems in finite time. A new homogeneous high order sliding mode control approach is introduced ensuring the finite-time synchronization despite perturbations in the considered systems. By combining a proposed Lyapunov function and the homogeneity concept, the proposed controller possesses superior features such as requiring only one control input signal to obtain finite-time synchronization, resulting in a continuous control signal that significantly reduces the chattering effect without an additional differentiator, and compensating a wide class of perturbations. The computer simulation results are provided to demonstrate the effectiveness of the proposed control approach, compared with two existing control schemes. (C) 2020 The Franklin Institute. Published by Elsevier Ltd. All rights reserved.