A linear continuous feedback control of Chuaʹs circuit

A continuous feedback controller is designed to suppress and eliminate the chaotic behavior of Chuaʹs circuit. This controller is constructed by the following two phases. First, the set of equilibrium points is extended by virtue of embedding suitable feedback terms in the control channel. Second, a state error term is then added to steer the dynamics of the control system to a fixed point or a limit cycle. The stability region of Chuaʹs circuit with control is determined via the Routh-Hurwitz criterion. Some numerical simulations are given to demonstrate the effect of the control design.