Stability analysis of switched fuzzy systems via model checking

Zuohua Ding, Yuan Zhou, Mengchu Zhou

Research output: Contribution to journalArticlepeer-review

8 Scopus citations

Abstract

Switched fuzzy systems can be used to describe the hybrid systems with fuzziness. Their stability issue is the most important one and has received significant attention. Most of the existing methods to study it are based on Lyapunov functions. However, the existence of such functions is difficult to establish. This paper presents a new method to analyze the stability. A switched fuzzy system with a Takagi-Sugeno (T-S) fuzzy model is first transformed to a hybrid automaton (HA) that is linearized. The reachability of this linearized one is then checked by the model checker PHAVer. Finally, the stability is obtained by analyzing the reachability. It is shown that a switched fuzzy system and its corresponding HA have the same behavior and that the linearization does not affect the stability analysis. We demonstrate the effectiveness of our method through a case study on a differential-drive two-wheeled mobile robot.

Original languageEnglish (US)
Article number6698303
Pages (from-to)1503-1514
Number of pages12
JournalIEEE Transactions on Fuzzy Systems
Volume22
Issue number6
DOIs
StatePublished - Dec 1 2014

All Science Journal Classification (ASJC) codes

  • Control and Systems Engineering
  • Computational Theory and Mathematics
  • Artificial Intelligence
  • Applied Mathematics

Keywords

  • Hybrid system
  • Takagi and Sugeno (T-S) model
  • model checking
  • stability
  • switched fuzzy system (SFS)

Fingerprint

Dive into the research topics of 'Stability analysis of switched fuzzy systems via model checking'. Together they form a unique fingerprint.

Cite this