Chaotification via system immersion

By introducing a definition of partially chaotic for a kind of generalized chaotic system, this paper discusses the chaotification problem with a new approach based on (system) immersion and (manifold) invariance. The basic idea is to immerse the plant system into a reduced-order chaotic system. The proposed approach is also applied to chaotify systems with uncertain parameters. Illustrative examples with simulation results are presented to validate the proposed chaotification schemes.