Ultimate bounds and robust invariant sets for linear systems with state-dependent disturbances

Sorin Olaru*, Vasso Reppa

*Corresponding author for this work

Research output: Chapter in Book/Conference proceedings/Edited volumeConference contributionScientificpeer-review

1 Citation (Scopus)

Abstract

The objective of this chapter is to present a methodology for computing robust positively invariant sets for linear, discrete time-invariant systems that are affected by additive disturbances, with the particularity that these disturbances are subject to state-dependent bounds. The proposed methodology requires less restrictive assumptions compared to similar established techniques, while it provides the framework for determining the state-dependent (parameterized) ultimate bounds for several classes of disturbances. The added value of the proposed approach is illustrated by an optimization-based problem for detecting the mode of functioning of a switching system.

Original languageEnglish
Title of host publicationDevelopments in Model-Based Optimization and Control
Subtitle of host publicationDistributed Control and Industrial Applications
EditorsAlexandra Grancharova, Sorin Olaru, Fernando Lobo Pereira
PublisherSpringer
Pages339-359
ISBN (Print)9783319266855
DOIs
Publication statusPublished - 2015
Externally publishedYes

Publication series

NameLecture Notes in Control and Information Sciences
Volume464
ISSN (Print)0170-8643

Keywords

  • Invariant sets
  • State dependent disturbances
  • Ultimate bounds

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