mixed h2/h∞ performance analysis and state-feedback control design for networked systems with fading communication channels

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ID: 181630
2012
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Abstract
The purpose of the present paper is to provide a performance analysis approach of networked systems with fading communication channels. For a Ricean model of the fading communication channel, it is shown that the resulting system has a hybrid structure including the continuous-time dynamics of the networked systems and a discrete-time dynamics of the communication channels. Moreover, this resulting hybrid system has both multiplicative and additive noise terms. The performance analysis naturally leads to an H2/H∞-type norm evaluation for systems with finite jumps and multiplicative noise. It is proved that this norm depends on the stabilizing solution of a specific system of coupled Riccati's equations with jumps. A state-feedback design problem to accomplish a mixed H2/H∞ performance is also considered. A numerical iterative procedure allowing to compute the stabilizing solution of the Riccati-type system with jumps is presented. The theoretical results are illustrated by numerical results concerning the tracking performances of a flight formation with fading communication channel. The paper ends with some concluding remarks.
Reference Key
stoica2012mathematicalmixed Use this key to autocite in the manuscript while using SciMatic Manuscript Manager or Thesis Manager
Authors ;Adrian-Mihail Stoica
Journal journal of power sources
Year 2012
DOI
10.1155/2012/291714
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