Robust H∞ control for large-scale systems based on networks

Based on networks, a state feedback H_∞ controller design for a class of linear discrete-time large-scale system with both measurement data and control data missing simultaneously is considered in this paper. The large-scale system was modeled as interconnection of N linear discrete-time subsystems. The occurrence of measurement data and control data missing is assumed to be a Bernoulli distributed sequence with known probability. Sufficient conditions for the existence of a H_∞ controller are derived in terms of linear matrix inequality(LMI), such that the closed-loop system exponentially stable in the sense of mean square and a prescribed H_∞ performance is guaranteed. A numerical example is also provided to demonstrate the validity of the proposed design approach.