Abstract
In this paper, we propose a systematic method to design the optimal ℋ2 output feedback controller for single input, single output plants of fractional order based on Wiener–Hopf spectral factorization. The plant is allowed to be unstable, non-minimum-phase, and incommensurate order. Using the fractional order Youla parameterization, the resulting controller satisfies the closed-loop internal stability requirement. Because of the branch point singularities associated with fractional order transfer functions, the spectral decompositions are effected via an integral technique. An example is provided to demonstrate the design procedure.
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