Output nested backward compensation of unmatched effects of unknown inputs

Alejandra Ferreira, Leonid Fridman, Elisabetta Punta, Giorgio Bartolini

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

4 Scopus citations

Abstract

This paper tackles the regulation problem of linear time invariant systems with unmatched perturbations. The proposed methodology exploits a high order sliding mode observer, which guarantees theoretically exact state and perturbation estimation. In this work is introduced a controller with a compensation strategy based on the identified perturbation values. A nested backward sliding surface design is proposed, which allows to compensate the unmatched uncertainties and to stabilize some of the non-actuated state components, while all the remaining states are maintained bounded. The overall stabilization error is estimated in terms of the sampling time and actuator time constant values. The feasibility of the technique is showed in a rotary inverted pendulum simulation example.

Original languageEnglish
Title of host publication2010 49th IEEE Conference on Decision and Control, CDC 2010
PublisherInstitute of Electrical and Electronics Engineers Inc.
Pages1448-1453
Number of pages6
ISBN (Print)9781424477456
DOIs
StatePublished - 2010
Externally publishedYes
Event49th IEEE Conference on Decision and Control, CDC 2010 - Atlanta, United States
Duration: 15 Dec 201017 Dec 2010

Publication series

NameProceedings of the IEEE Conference on Decision and Control
ISSN (Print)0743-1546
ISSN (Electronic)2576-2370

Conference

Conference49th IEEE Conference on Decision and Control, CDC 2010
Country/TerritoryUnited States
CityAtlanta
Period15/12/1017/12/10

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