Feedback controlling against chaos

A P–D (Proportional plus Derivative) feedback controller is proposed for the control of chaotic dynamic systems. Using this feedback law the design requirement of command matching is satisfied independently of the perturbations of the initial conditions of the dynamic plant. The problem is solved for all nonlinear systems having independent inputs and independent performance variables. The controller is implemented without knowledge of the system’s initial conditions and thus it is independent of their perturbations.