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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 H 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 normbounded. 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 LyapunovKrasovskii 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.