Robust Dynamic Output Feedback Control for Fractional‐Order Systems

This article investigates the problem of robust dynamic output feedback control for a class of fractional‐order systems with polytopic uncertainties, where the system order satisfies . Based on linear matrix inequalities (LMIs), necessary and sufficient conditions for the existence of a dynamic output feedback controller for the nominal fractional‐order systems are derived. The proposed approach effectively reduces the conservatism inherent in existing methods, particularly when dealing with polytopic uncertainties. Numerical simulations demonstrate the effectiveness and robustness of the proposed method in stabilizing both nominal and uncertain fractional‐order systems.