Robust analysis and synthesis for a class of fractional order systems with coupling uncertainties

A class of uncertain fractional order systems is concerned where intervals of system matrices parameters are affected by the fractional order. Moreover, the order is also uncertain and belongs to an interval containing the integer one. This kind of system models are reasonable results of fractional order system identifications. In this note, we derive the robust stability analysis and synthesis of such uncertain fractional order systems. Two numerical examples are presented to illustrate the effectiveness and potential of the developed theoretical results.