Chaotification of Nonlinear Discrete Systems via Sliding Mode Control

This paper proposes new definitions to discuss the chaotification problem of nonlinear discrete systems using sliding mode control (SMC). A novel method based on system immersion is introduced to design (chaos) sliding surface. Its basic idea is to immerse an asymptotically stable system (or a chaotic system) which may be a lower dimension into the plant system to obtain the invariant manifold as (chaos) sliding surface. An illustrative example with simulation results is presented to validate the proposed chaotification approach.