Decentralized \(H_{\infty}\) control for large-scale systems with uncertain missing measurements probabilities
Summary: For large-scale systems which are modeled as interconnection of \(N\) networked control systems with uncertain missing measurements probabilities, a decentralized state feedback \(H_{\infty}\) 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 \(H_{\infty}\) controller is designed in terms of linear matrix inequalities to make closed-loop system exponentially mean square stable and a prescribed \(H_{\infty}\) 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.
scientific article; zbMATH DE number 6926206