Simultaneous Input and State Interval Observers for Nonlinear Systems with Rank-Deficient Direct Feedthrough

Mohammad Khajenejad, Sze Zheng Yong

Research output: Chapter in Book/Report/Conference proceedingConference contribution

1 Scopus citations

Abstract

We address the problem of designing simultaneous input and state interval observers for Lipschitz continuous nonlinear systems with rank-deficient feedthrough, unknown inputs and bounded noise signals. Benefiting from the existence of nonlinear decomposition functions and affine abstractions, our proposed observer recursively computes the maximal and minimal elements of the estimate intervals that are proven to contain the true states and unknown inputs. Moreover, we provide necessary and sufficient conditions for the existence and sufficient conditions for the stability (i.e., uniform boundedness of the sequence of estimate interval widths) of the designed observer, and show that the input interval estimates are tight, given the state intervals and decomposition functions.

Original languageEnglish (US)
Title of host publication2021 European Control Conference, ECC 2021
PublisherInstitute of Electrical and Electronics Engineers Inc.
Pages2311-2316
Number of pages6
ISBN (Electronic)9789463842365
DOIs
StatePublished - 2021
Externally publishedYes
Event2021 European Control Conference, ECC 2021 - Delft, Netherlands
Duration: Jun 29 2021Jul 2 2021

Publication series

Name2021 European Control Conference, ECC 2021

Conference

Conference2021 European Control Conference, ECC 2021
Country/TerritoryNetherlands
CityDelft
Period6/29/217/2/21

ASJC Scopus subject areas

  • Control and Optimization
  • Artificial Intelligence
  • Decision Sciences (miscellaneous)
  • Control and Systems Engineering
  • Mechanical Engineering
  • Computational Mathematics

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