Fuzzy Integral Sliding-Mode Control for Nonlinear Semi-Markovian Switching Systems With Application

Wenhai Qi, Xianwen Gao, Choon Ki Ahn, Jinde Cao, Jun Cheng

Research output: Contribution to journalArticlepeer-review

7 Citations (Scopus)

Abstract

The issue of sliding-mode control (SMC) design is studied for a class of nonlinear semi-Markovian switching systems (S-MSSs) via T-S fuzzy approach. Compared with previous literature, novel integral sliding-mode surfaces (ISMSs) are developed to depend on the designed controller gains and projection matrices. The aim of this work is to design an appropriate fuzzy SMC law under complex stochastic semi-Markovian switching process. For this purpose, the novel ISMSs are developed under the T-S fuzzy modeling framework. Then, based on the weak infinitesimal operator theory, sufficient conditions are given for stochastic stability criteria relying on the sojourn-time. Furthermore, an appropriate fuzzy SMC law is proposed to drive the state signals onto the predefined fuzzy manifold. Finally, an electric circuit model illustrates the effectiveness of the theoretical findings.

Original languageEnglish
JournalIEEE Transactions on Systems, Man, and Cybernetics: Systems
DOIs
Publication statusAccepted/In press - 2020

Keywords

  • Nonlinear systems
  • Semi-Markovian switching
  • Sliding mode control
  • Stochastic processes
  • Switched mode power supplies
  • Switches
  • Switching systems
  • T-S fuzzy approach
  • Uncertainty
  • sliding-mode control (SMC)
  • sojourn-time (ST)

ASJC Scopus subject areas

  • Software
  • Control and Systems Engineering
  • Human-Computer Interaction
  • Computer Science Applications
  • Electrical and Electronic Engineering

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