Robust controlling hyperchaos of the Rössler system subject to input nonlinearities by using sliding mode control

A sliding mode control is designed to stabilize the well-known hyperchaos of Rössler system to equilibrium points subject to sector nonlinear input. The proposed control law is robust against both the input nonlinearity and external disturbance. The error bound can be arbitrarily set by assigning the corresponding dynamics to the sliding surfaces when the desired state is not an equilibrium point. Simulation results show that the system state can be regulated to an equilibrium point in the state space. It is also seen that the system still possesses advantage of fast response and good transient performance even though the control input is nonlinear.