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Mixed ð » ð Ÿ / ð » âˆž Performance Analysis and State-Feedback Control Design for Networked Systems with Fading Communication Channels

Adrian-Mihail Stoica

Mathematical Problems in Engineering, 2012, vol. 2012, 1-16

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 ð » 2 / ð » âˆž -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 ð » 2 / ð » âˆž 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.

Date: 2012
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Persistent link: https://EconPapers.repec.org/RePEc:hin:jnlmpe:291714

DOI: 10.1155/2012/291714

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