Mixed H2H∞ Performance Analysis and State-Feedback Control Design for Networked Systems with Fading Communication Channels

Abstract EN

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.