Author(s)

Qiguo Yao, Yuxiang Su, Lili Li

Corresponding Author

Qiguo Yao

ABSTRACT

Using the back stepping design method, a simple controller is formulated to control the system to its unstable equilibrium (0, 0, 0), any point of the form in phase space, and force the first state variable to trace arbitrary given function r(t). Suppose one parameter was unknown, a unidirectional coupled scheme and a parameter update role are proposed to assure the new Lorenz-like system to globally synchronize with a copy of itself. Numerical simulations using Matlab were presented to show the feasibility of our design.

KEYWORDS

Chaos, Lyapunov function, backstepping control, adaptive synchronization