A novel LMI approach for robust stabilization of uncertain fractional order systems

This paper focuses on robust control issues of uncertain fractional order systems based on model approximation. In this paper, two kinds of controller are designed to stabilize such fractional order system. In order to linearize the matrix inequalities, we present a two-step design paradigm: “Design the state feedback controller, then design the output feedback controller”. In consequence, all the results are obtained in terms of linear matrix inequalities (LMI). Numerical example validates the proposed stabilization method.