Output Regulation of the Liu-Chen-Liu Chaotic System

In this paper, we solve the problem of regulating the output of the Liu-Chen-Liu chaotic system (2007), which is one of the recentlydiscovered three-dimensional chaotic attractors. Liu-Chen-Liu chaotic system has many interesting complex dynamical behaviours and it haspotential applications in secure communication. In this paper, we construct explicit state feedback control laws to regulate the output of the Caichaotic system so as to track constant reference signals. The control laws are derived using the regulator equations of Byrnes and Isidori (1990), who have solved the output regulation of nonlinear systems involving neutrally stable exosystem dynamics. We also discuss the simulationresults in detail