Reliable Resilient Finite-Time Control for Stabilization of Hyperchaotic Fractional-Order Systems

Abstract

This brief focuses on finite-time stabilization of a four-dimensional fractional-order hyperchaotic system via reliable resilient controller. The stability theory of Lyapunov and the optimization technique based on linear matrix inequality are combined together to establish a reliable feedback controller which guarantees finite-time boundedness of the considered system affected by actuator failures, gain fluctuations and parametric uncertainties. Finally, the simulation results, demonstrates that the proposed control design scheme is an effective one. Moreover, the simulation shows that the proposed control design can achieve good performance in spite of the presence of fluctuations in control gain.