Robust decentralized control of perturbed fractional-order linear interconnected systems. (English) Zbl 1345.93140
Summary: The robust decentralized state feedback stabilization problem for a class of perturbed fractional-order linear interconnected systems is investigated. The systems considered are subject to structured or unstructured perturbations. The decentralized state feedback controllers are designed such that the closed-loop perturbed fractional-order linear interconnected systems are asymptotically stable. By using the definition of positive and negative definite matrices and stability theory of fractional-order systems, sufficient conditions for robust stabilization of closed-loop perturbed fractional-order linear interconnected systems are given. Simulation examples are given to demonstrate the effectiveness of the proposed theoretical results.
Keywords:
decentralized control; fractional-order system; interconnected system; robust stability; robust stabilizationReferences:
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