Exact bounds for robust stability of output feedback controlled fractional‐order systems with single parameter perturbations

Summary This article investigates exact robust stability bounds of output feedback controlled fractional‐order systems with the commensurate order α∈[1,2) and single parameter perturbations in all system coefficient matrices. First, a sufficient and necessary condition for robust asymptotical stability of such systems is obtained by using the Kronecker product. Then the maximal upper bounds and minimum lower bounds for robust asymptotical stability are established, respectively, without conservatism by transforming such problems into checking whether the matrix with single parameter perturbations is nonsingular or not. Finally, two numerical examples are given to show the effectiveness of the proposed results.