Sliding Mode Control for Rossler Prototype-4 System Using Two and Three Controllers

This paper canvasses an approach for controlling chaos in Rossler prototype-4 system which is a 4-dimensional chaotic system by utilizing the popular sliding mode control scheme. An appropriate proportional integral (PI) switching surface is adopted such that the stability of error dynamics is made certain. Based on the chosen switching surface, sliding mode controllers are derived in different ways using the Lyapunov stability theory. Firstly, taking into account the three controllers i.e. one controller for individual state and then using two controllers for synchronizing and stabilizing the system. A comparison is done between the two cases and results are embellished graphically to verify the usefulness of the proposed strategy.