Sliding mode observer for fractional order nonlinear dynamical systems

Abstract

This paper proposes a sliding mode observer for nonlinear fractional order systems. The proposed observer based on the Caputo derivative investigates the estimation problem of nonlinear chaotic dynamical systems fractional order. The comparison with order integer shows that this approach maintains the convergence of estimation errors to equilibrium point using the Mittag Leffler and Lyapunov stability.