Stabilization of a Genesio-Tesi Chaotic System Using a Fractional Order PID Regulator

Based on the bifurcation diagram technique, this paper analyses the stabilization conditions of the nonlinear chaotic Genesio-Tesi system with the use of a fractional order control scheme. Stability analysis is performed for the closedloop nonlinear chaotic system behavior, for the fractional order integral and derivative actions by mean of the bifurcation diagram. Numerical simulation examples illustrate the efficiency of the proposed state feedback controller with a fractional order PID control structure, allowin the stabilization of the problem of unstable fixed points with good closed loop system performance. Keywordsfractional order system; Genesio-Tesi chaotic system; chaos suppression, periodic orbit; fractional PIλDμ controller; unstable fixed point.