Fractional sliding mode observer design for a class of uncertain fractional order nonlinear systems

This paper investigates the problem of state estimation for a class of fractional order nonlinear systems with uncertainty, using sliding mode technique. In other words, the purpose of the problem is to develop a fractional order sliding mode observer. Through the fractional order extension of the Lyapunov stability criterion, the stability analysis of the error system is completed and it is showed that the observer design guarantees the convergence of the estimation error. Two illustrative examples are provided to approve the theoretical results.