Zonotope-based interval estimation for 2-D FMLSS systems using an event-triggered mechanism

Liu Yang, Zhongyang Fei, Zhenhua Wang, Choon Ki Ahn

Research output: Contribution to journalArticlepeer-review

Abstract

This study considers the problem of interval estimation for event-triggered two-dimensional (2-D) systems as expressed by the Fornasini-Marchesini local state-space (FMLSS) model. In such systems, the general hypothesis for practical applications is that exogenous disturbance and measurement noise are unknown but bounded (UBB). First, an observer design criterion is deduced from the defined zonotopic radius and weighted radius of the FMLSS model. Subsequently, to economize the restricted communication resources, an event-driven data transmission strategy is employed for the observer. Then, a sufficient criterion is established to guarantee the L_inf performance for the considered 2-D FMLSS system with event-triggered scheme. From the obtained observer, the state estimation of the 2-D system is derived using the zonotopic state estimation approach. Finally, the validity of the proposed method is confirmed by numerical examples.

Original languageEnglish
JournalIEEE Transactions on Automatic Control
DOIs
Publication statusAccepted/In press - 2022

Keywords

  • Estimation error
  • event-triggered mechanism
  • Fornasini-Marchesini local state-space model
  • L∞ performance
  • Noise measurement
  • Observers
  • Perturbation methods
  • Stability criteria
  • Time-varying systems
  • Two dimensional displays
  • two-dimensional system
  • Zonotopic state estimation

ASJC Scopus subject areas

  • Control and Systems Engineering
  • Computer Science Applications
  • Electrical and Electronic Engineering

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