Controlling chaos of the family of Rössler systems using sliding mode control

This paper investigates the control of chaos for several classical chaotic Rössler type systems using the sliding mode control strategy. For an arbitrarily given equilibrium point of a Rössler system, we achieve global stabilizing for the equilibrium points. Particularly, a class of proportional–integral (PI) switching surface is introduced for determining the convergence rate. Six typical Rössler systems are studied and their simulation results are presented to demonstrate the effectiveness of the proposed control scheme.