PROJECT TITLE :

Design of hierarchical terminal sliding mode control scheme for fractional-order systems

ABSTRACT:

This study presents a novel fractional hierarchical terminal sliding mode control (SMC) theme for finite-time stabilisation of non-autonomous fractional-order dynamical systems. It's assumed that the fractional-order system is disturbed by some model uncertainties and external noises. A novel fractional hierarchical terminal sliding surface is proposed and its finite time convergence to the origin is shown. Based mostly on the fractional Lyapunov stability theorem and SMC theory, a strong sliding mode switching management law comes to ensure the existence of the sliding motion in finite time. It's mathematically proved that the states of the error can reach the proposed hierarchical terminal sliding surface in finite time. The introduced technique is applied for synchronisation of the fractional-order chaotic Arneodo and Genesio systems to point out the usefulness of the strategy. Furthermore, 2 non-autonomous fractional-order systems, particularly Van der Pol equation and gyro system, are successfully stabilised using the proposed strategy to verify the theoretical results of this study.