Adaptive Robust Higher-order Controller Design for Uncertain Chaotic

An adaptive higher order controller for uncertain chaotic systems is designed in this paper. Employing second order integration and second order derivative terms to PID controller lead to deflect the steady state error and increase of convergence speed of the systems. Concept of sliding mode used to adaptation of designed controller. Also an adequate supervisory controller employed to avoid divergence of states of the systems. The ultimate controller is sum of these controllers. In addition, in order to description of chaotic systems, plant uncertainty employed to demonstrate robustly of system. Also, external disturbances are considered. The results illustrate the effectiveness of the proposed robust adaptive higher order controller.