PASSIVITY-BASED CONTROL OF CHAOTIC L ¨ US YSTEM

Control chaos of the Lu system was discussed by using the passive control theory, with the study of the property of passive system, the essential conditions under which the Lu system could be equivalent to a passive system via smooth state feedback were derived. It was found that the new system transformed by the Lu chaotic system, could be globally asymptotically stabilized at different equilibrium points, provided that suitable controllability-like rank conditions were satisfied. Simulation results indicated that the proposed chaos control method is very effective in Lu chaotic system.