H control of networked control systems via discontinuous Lyapunov functionals

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Abstract

This chapter presents a new stability and L 2-gain analysis of linear Networked Control Systems (NCS). The new method is inspired by discontinuous Lyapunov functions that were introduced in [13] and [12] in the framework of impulsive system representation. Most of the existing works on the stability of NCS (in the framework of time delay approach) are reduced to some Lyapunov-based analysis of systems with uncertain and bounded time-varying delays. This analysis via time-independent Lyapunov functionals does not take advantage of the sawtooth evolution of the delays induced by sample-and-hold. The latter drawback was removed in [4], where time-dependent Lyapunov functionals for sampled-data systems were introduced. This led to essentially less conservative results. The objective of the present chapter is to extend the time-dependent Lyapunov functional approach to NCS, where variable sampling intervals, data packet dropouts and variable network-induced delays are taken into account. The new analysis is applied to a novel network-based static output-feedback H control problem. Numerical examples show that the novel discontinuous terms in Lyapunov functionals essentially improve the results.

Original languageEnglish
Title of host publicationTime Delay Systems
Subtitle of host publicationMethods, Applications and New Trends
EditorsRifat Sipahi, Tomas Vyhlidal, Silviu-Iulian Niculescu, Pierdomenico Pepe
Pages429-440
Number of pages12
DOIs
StatePublished - 2012

Publication series

NameLecture Notes in Control and Information Sciences
Volume423
ISSN (Print)0170-8643

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