Design of Proportional-Integral Sliding Mode Controllers for Hyperchaotic Systems in the Presence of Uncertainty, Disturbance and Nonlinear Control Inputs

In this paper, robust controllers for a new hyperchaotic system are investigated in the presence of uncertainty, disturbance and nonlinear control inputs. The controllers are designed by considering two major goals: first to stabilize the hyperchaotic system in the presence of uncertainties, disturbance and nonlinear control inputs; and second, to guarantee the prescribed disturbance attenuation, considering the defined performance index for it. Sliding mode control by defining three proportional integral switching surfaces is used to reach mentioned goals. Numerical simulations are used to exhibit the feasibility and performance of the proposed method.