Robust decentralized control of perturbed fractional-order linear interconnected systems

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.