Robustly decentralized H,∞ controller with variance constraint design for large-scale stochastic uncertain time-delay systems via LMI approach

The present paper investigates the problem of robustly decentralized state feedback controller with state variance constraint design for a class of stochastic large-scale uncertain time-delay systems. The considered time-delay parameters appear in the interconnections between individual subsystems and uncertainties are allowed to be unstructured but time-varying and norm- bounded. The sufficient conditions of the desired state feedback controller, which satisfies the performance level constraint in terms of H∞ norm for noise attenuation and upper bound of individual state variance constraint for considering its state energy limitation, are based on the Lyapunov- Krasovskii stability theory and utilizing the decentralized scheme to be derived in terms of linear matrix inequalities (LMIs). The effectiveness of the proposed approach is illustrated by a numerical example.