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ZHANG Qing, SHU Yong-lu, ZHANG Wan-xin. Controlling and synchronization of a new Lorenz-like chaotic system[J]. Journal of East China Normal University (Natural Sciences), 2010, (1): 52-61.
Citation:
ZHANG Qing, SHU Yong-lu, ZHANG Wan-xin. Controlling and synchronization of a new Lorenz-like chaotic system[J]. Journal of East China Normal University (Natural Sciences), 2010, (1): 52-61.
ZHANG Qing, SHU Yong-lu, ZHANG Wan-xin. Controlling and synchronization of a new Lorenz-like chaotic system[J]. Journal of East China Normal University (Natural Sciences), 2010, (1): 52-61.
Citation:
ZHANG Qing, SHU Yong-lu, ZHANG Wan-xin. Controlling and synchronization of a new Lorenz-like chaotic system[J]. Journal of East China Normal University (Natural Sciences), 2010, (1): 52-61.
By using the backstepping design method we formulated a simple controller to control the system to its unstable equilibrium (0,0,0), any point of the form (0,0,1+b+p(1-p))(0p1) in phase space, and forced the first state variable to trace arbitrary given function r(t). Suppose one parameter was unknown, we proposed a unidirectional coupled scheme and a parameter update role to assure the new Lorenz-like system to globally synchronize with a copy of itself. We presented a rigorous proof of our design by constructing proper Lyapunov function. Numerical simulations using Matlab were presented to show the feasibility of our design.