A Hybrid Set-Theoretic Method for Guaranteed State Estimation of Nonlinear Discrete-Time Systems

Research output: Chapter in Book/Published conference outputConference publication

Abstract

This paper proposes a hybrid set-theoretic method to implement guaranteed state estimation for nonlinear uncertain discrete-time systems. The proposed method represents a polytopic set exactly at each time instant by the intersection of intervals or boxes and then to propagate these intervals or boxes via zonotopic set computation for guaranteed state estimation of nonlinear discrete-time systems. Such a hybrid set-theoretic approach integrates interval, zonotopic and polytopic set-theoretic methods and makes full use of their specific advantages. The proposed method can be extended for high-dimensional systems due to the use of intervals or boxes rather than parallalotopes for exact set representation. The effectiveness of the proposed hybrid set-theoretic method for guaranteed state estimation of nonlinear uncertain discrete-time systems has been demonstrated via an illustrative example.
Original languageEnglish
Title of host publication2023 IEEE Third International Conference on Signal, Control and Communication (SCC)
PublisherIEEE
Number of pages5
ISBN (Electronic)9798350326390
ISBN (Print)9798350326406
DOIs
Publication statusPublished - 17 May 2024
Event3rd IEEE International Conference on Signal, Control and Communication - Hammamet, Tunisia
Duration: 1 Dec 20233 Dec 2023

Conference

Conference3rd IEEE International Conference on Signal, Control and Communication
Abbreviated titleSCC 2023
Country/TerritoryTunisia
CityHammamet
Period1/12/233/12/23

Keywords

  • Nonlinear Systems
  • Set-theoretic Methods
  • State Estimation

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