Stabilization of fractional order hyperchaotic systems with uncertainties via output feedback sliding mode control

An output feedback sliding mode controller is designed for the stabilization of fractional order hyperchaotic systems including uncertainties in the state matrix and the output matrix. On the basis of auxiliary system, a sliding mode control law with output feedback characteristics is researched by studying the structure decomposition of fractional order hyperchaotic systems. Based on fractional order Lyapunov stability theorem, a switching surface is designed by using linear matrix inequality (LMI) method. Using a simple adaptation, an improved sliding mode controller is given to guarantee the existence of the sliding mode. Moreover, numerical simulations are performed to confirm the effectiveness and feasibility of the stabilization control scheme.