T-S fuzzy controller design for a descriptor chaotic system

A four-dimensional descriptor chaotic system with six nonlinearities is put forward in this paper. A novel chaotic attractor can be generated from the nonlinear descriptor system. The system can be described as an appropriate T-S fuzzy system by analyzing a common state variable in all nonlinearities. By employing a linear matrix inequality approach, the closed-loop descriptor system is asymptotically stable by designing a T-S fuzzy controller. Corresponding numerical simulations illustrate the effectiveness of the T-S fuzzy control approach.