Sliding mode control for non-linear systems by Takagi-Sugeno fuzzy model and delta operator approaches

Jiahui Wang, Yabin Gao, Jianbin Qiu, Choon Ki Ahn

Research output: Contribution to journalArticle

63 Citations (Scopus)


This study considers the problem of adaptive sliding mode control for discrete-time Takagi-Sugeno (T-S) fuzzy systems with actuator faults and external disturbances via the delta operator method. The delta operator approach is used to represent the discrete-time non-linear systems described by T-S fuzzy models. The actuator fault considered in this study is unknown and its fault-deviation is also unknown. A reduced-order system is utilised to design the sliding mode surface subject to linear matrix inequality constraint. By constructing the sliding mode surface, a novel adaptive sliding mode controller is designed to guarantee that the closed-loop system is uniformly ultimately bounded. Finally, two practical examples are presented to show the effectiveness and applicability of the developed fault-tolerant control scheme.

Original languageEnglish
Pages (from-to)1205-1213
Number of pages9
JournalIET Control Theory and Applications
Issue number8
Publication statusPublished - 2017 May 12


ASJC Scopus subject areas

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

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