Chaos anti-control of chain system via backstepping

Chaos anti-control of the controlled chain system was realized by tracking reference chaos system. Origin stability of the error system between the controlled chain system and the reference chaos system was made possible through backstepping design of the controller. In case of completeness, the two well known chaos systems Duffing oscillator and Ameodo system were used as reference ones are to drive the second order chain system and the third order one into chaos respectively. The suggested chaos anti-control method is both free of computation complexity of Lyapunov exponent allocation, which is often difficult to get; and constraints of differential geometric control, which is too complicated to execute sometimes. Validity is verified by computer simulation.