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

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

;Adrian-Mihail Stoica
journal of power sources 2012 Vol. 2012 pp. -
184
stoica2012mathematicalmixed

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.

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ID: 181630
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0x95644003c57E6F55A65596E3D9Eac6813e3566dA
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181630
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10.1155/2012/291714
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