Robust H∞ control for large-scale Systems with uncertain missing measurements probabilities

In this paper, robust stabilization problems for a class of large-scale systems with missing measurements are considered. It is assumed that the occurrence of missing measurements satisfies a Bernoulli random binary switching sequence with an unknown conditional probability distribution. A state feedback controller can be designed to make the closed-loop large-scale systems exponentially mean-square stable and achieve the prescribed H_∞ performance in term of linear matrix inequality (LMI). A numerical example is also provided to demonstrate the validity of the proposed design approach.