Decentralized H∞ Control for Large-Scale Systems with Uncertain Missing Measurements Probabilities. (1st October 2015)

• Record Type: Journal Article
• Authors: Zhou, Ying; Zang, Qiang; Fan, Chunxia
• Other Names: Yan Xinggang Academic Editor.
• Is Part Of: Mathematical problems in engineering. Volume 2015(2015)
• Publication Date: 2015-10-01
• Subjects: Engineering mathematics -- Periodicals; 510.2462
• DOI: 10.1155/2015/379390
• Languages: English
• ISSNs: 1024-123X

Abstract

Abstract : For large-scale systems which are modeled as interconnection ofN networked control systems with uncertain missing measurements probabilities, a decentralized state feedbackH ∞ 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 feedbackH ∞ controller is designed in terms of linear matrix inequalities to make closed-loop system exponentially mean square stable and a prescribedH ∞ 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.