ABSTRACT

This paper solves the problem of regulating the output of the Tigan system (2008), which is one of the recently discovered three-dimensional chaotic attractors. Tigan system has many interesting complex dynamical behaviours and it has potential applications in secure communications. In this paper, we construct explicit state feedback control laws to regulate the output of the Tigan 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. Numerical simulations are shown to validate the output regulation results derived in this paper.