Decentralized H∞ Control for Large-Scale Systems with Uncertain Missing Measurements Probabilities

Abstract EN

For large-scale systems which are modeled as interconnection of N networked control systems with uncertain missing measurements probabilities, a decentralized state feedback H∞ controller design is considered in this paper.

The occurrence of missing measurements is assumed to be a Bernoulli random binary switching sequence with an unknown conditional probability distribution in an interval.

A state feedback H∞ controller is designed in terms of linear matrix inequalities to make closed-loop system exponentially mean square stable and a prescribed H∞ performance is guaranteed.

Sufficient conditions are derived for the existence of such controller.

A numerical example is also provided to demonstrate the validity of the proposed design approach.