Robust servo synthesis by minimization of induced ℓ2 and ℓ norms

Uri Shaked*, Isaac Yaesh

*Corresponding author for this work

Research output: Chapter in Book/Report/Conference proceedingConference contributionpeer-review

10 Scopus citations

Abstract

The problem of designing induced ℓ2 (i.e. H ) and ℓ (i.e. ℓ1) output-feedback controllers for linear discrete-time systems with polytopic type uncertainties is considered. The design process involves a state augmentation procedure which results in a nonminimal system the states of which are obtained by delayed inputs and outputs of the plant. Applying state-feedback control to this plant, using an LMI technique, output-feedback controllers are readily obtained which are of order comparable to the one of the plant. These controllers ensure quadratic stability and disturbance attenuation with a prescribed level within the uncertainty polytope. The resulting method is simple and most powerful. It is illustrated via a solution of an ECC'95 benchmark problem that deals with the control of a flexible transmission system with varying loads.

Original languageEnglish
Title of host publication2007 IEEE International Symposium on Industrial Electronics, ISIE 2007, Proceedings
Pages24-29
Number of pages6
DOIs
StatePublished - 2007
Event2007 IEEE International Symposium on Industrial Electronics, ISIE 2007 - Caixanova - Vigo, Spain
Duration: 4 Jun 20077 Jun 2007

Publication series

NameIEEE International Symposium on Industrial Electronics

Conference

Conference2007 IEEE International Symposium on Industrial Electronics, ISIE 2007
Country/TerritorySpain
CityCaixanova - Vigo
Period4/06/077/06/07

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