Output Regulation of the Chaotic T System

In this paper, we solve the problem of regulating the output of the chaotic T system, discovered by the scientists G. Tigan andD. Opris (2008). T system is one of the well-known three-dimensional chaotic attractors and it has many interesting complex dynamicalbehaviours and it has potential applications in secure communication. In this paper, we construct explicit state feedback control laws to regulatethe output of the T system so as to track constant reference signals. The control laws are derived using the regulator equations of Byrnes andIsidori (1990), who have solved the output regulation of nonlinear systems involving neutrally stable exosystem dynamics. We also discuss the simulation results in detail