Robust fault detection for a class of uncertain switched nonlinear systems via the state updating approach

Weiming Xiang, Jian Xiao, Muhammad Naveed Iqbal

Research output: Contribution to journalArticle

Abstract

In this paper, the fault detection problem for a class of state-dependent switched nonlinear systems with linear switching surface is addressed. The investigation of fault detection problem includes two parts: design sub-filters for each subsystem, and determine a proper update of estimated state. A fault detection filter is proposed incorporating the update of estimated state at switching instants and the multiple Lyapunov function approach is employed in the design process to reduce the conservativeness. It should be pointed out that the state update relation is derived based upon multiple Lyapunov functions and also on the information of switching surface. In the end, a special case in which the state space is divided into several polyhedral cells is discussed. A numerical example is given to illustrate the effectiveness of proposed results.

Original languageEnglish (US)
Pages (from-to)132-146
Number of pages15
JournalNonlinear Analysis: Hybrid Systems
Volume12
Issue number1
DOIs
StatePublished - May 1 2014

Fingerprint

Switched Systems
Fault Detection
Fault detection
Multiple Lyapunov Functions
Updating
Nonlinear systems
Nonlinear Systems
Update
Lyapunov functions
Filter
Conservativeness
Instant
Design Process
Subsystem
State Space
Numerical Examples
Dependent
Cell
Class

Keywords

  • Fault detection
  • Linear switching surface
  • State update
  • Switched nonlinear system

ASJC Scopus subject areas

  • Control and Systems Engineering
  • Analysis
  • Computer Science Applications

Cite this

Robust fault detection for a class of uncertain switched nonlinear systems via the state updating approach. / Xiang, Weiming; Xiao, Jian; Iqbal, Muhammad Naveed.

In: Nonlinear Analysis: Hybrid Systems, Vol. 12, No. 1, 01.05.2014, p. 132-146.

Research output: Contribution to journalArticle

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