Finite-time control synthesis for discrete fuzzy switched singularly perturbed systems

Guangdeng Zong, Can Zhang, Wenhai Qi, Choon Ki Ahn, Xiangpeng Xie

Research output: Contribution to journalArticlepeer-review

Abstract

This paper addresses the synthesis for a class of discrete fuzzy switched singularly perturbed systems (SPSs) in finite time. Different from Lyapunov stability, finite-time stability (FTS) is set up to analyze the transient performance, where the state remains within the upper thresholds for a given finite-time interval. In the face of singular perturbation, a singular-perturbation-parameter-dependent Lyapunov function is firstly introduced for fuzzy switched SPSs in the sense of finite time. Inspired by the mode-dependent average dwell time (MDADT) switching rule, a developed FTS is constructed to eliminate an ill-conditioned issue owing to a singularly perturbed parameter. Furthermore, a new fuzzy control strategy is proposed to satisfy the predefined FTS. Finally, the feasibility of the main results is proved using an inverted pendulum model.

Original languageEnglish
Pages (from-to)1
Number of pages1
JournalIEEE Transactions on Circuits and Systems II: Express Briefs
DOIs
Publication statusAccepted/In press - 2022

Keywords

  • fuzzy control
  • Lyapunov methods
  • Nonlinear systems
  • Power system dynamics
  • Power system stability
  • singularly perturbed parameter
  • Switched singularly perturbed systems
  • Switched systems
  • Switches
  • Transient analysis
  • transient performance

ASJC Scopus subject areas

  • Electrical and Electronic Engineering

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