Output feedback sliding mode control of fractional systems

This paper presents a sliding mode control of fractional system using static output feedbacks. Fractional systems are described by differential equations of non-integer commensurate order. Since the stability region for integer-order systems is a subset of that of the fractional order ones, the design procedure is constructed for a virtual integer-order system. This approach simplifies both the switching surface and the controller design. The main ideas are illustrate via simple examples.