T–S Fuzzy-Affine-Model-Based Reliable Output Feedback Control of Nonlinear Systems with Actuator Faults

Yanling Wei, Jianbin Qiu, Xiuyan Peng*, Hak Keung Lam

*Corresponding author for this work

Research output: Contribution to journalArticlepeer-review

9 Citations (Scopus)
242 Downloads (Pure)

Abstract

This article presents a singular system approach to the reliable H static output feedback (SOF) control for continuous-time nonlinear systems with Markovian jumping actuator faults. The approximation of nonlinear plants is carried out in a Takagi–Sugeno fuzzy-affine (FA) environment, and the Markov chain is adopted to characterize the actuator failure phenomenon. Specifically, by utilizing a singular model transformation strategy, the traditional closed-loop system is converted into a singular FA system. With the construction of a mode-dependent Lyapunov function, and invoking S-procedure and some convexifying techniques, the reliable piecewise SOF controller design is then carried out for the underlying systems via a convex program. An illustrative example is finally given to show the efficacy of the developed method.

Original languageEnglish
Pages (from-to)81-97
Number of pages17
JournalCircuits, Systems, and Signal Processing
Volume37
Issue number1
Early online date4 Apr 2017
DOIs
Publication statusPublished - 1 Jan 2018

Keywords

  • Mode-dependent Lyapunov function
  • Nonlinear systems
  • Reliable output feedback control
  • Singular systems
  • T–S fuzzy-affine systems

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