State feedback with fractional PIλDμ control structure for Genesio-Tesi chaos stabilization

This paper proposes a fractional order control scheme for the stabilization of the nonlinear chaotic Genesio-Tesi systems. Stability analysis of the nonlinear chaotic system is studied for the fractional order integral and derivative actions using the bifurcation diagram. We show by numerical simulations that the fractional PPD controller provides a good closed loop system performance for stabilizing the problem of unstable fixed point.