H∞ controller design for large-scale systems with random communication delays

This paper is concerned with a class of H-infinity controller systems in large-scale system with random communication delays. The linear discrete-time large-scale system was modeled as interconnection of N subsystems. The occurrence of random communication delays is assumed to be a Bernoulli distributed sequence with known probability. The problem addressed here is the design of a liner H-infinity controller such that the error systems are exponentially mean-square stable and guarantee a prescribed H-infinity performance in term of linear matrix inequality (LMI). A numerical example is also provided to demonstrate the validity of the proposed design approach.