Stable controller design for large-scale systems with missing measurements and system delay

A state feedback controller design for a class of linear discrete-time large-scale system with missing measurements and one step system delay is considered in this paper. The linear discrete-time large-scale system was modeled as interconnection of N subsystems. The occurrence of missing measurement is assumed to be a Bernoulli distributed sequence with known probability. Every subsystem has one step system delay. Sufficient conditions for the existence of a controller are derived in terms of linear matrix inequality (LMI), such that the closed-loop system exponentially stable in the sense of mean square. A numerical example is also provided to demonstrate the validity of the proposed design approach.