Fuzzy model predictive control of discrete nonlinear systems with time-varying delay

Long Teng, Youyi Wang, Wenjian Cai

Research output: Chapter in book / Conference proceedingChapter in an edited book (as author)Academic researchpeer-review

2 Citations (Scopus)


This work aims to introduce a model predictive control strategy for nonlinear time-delay systems. In particular, unknown time-varying delay is considered instead of the traditional constant delay. Therefore the proposed method can be applied to both systems with known delays and unknown delays. The former one can be regarded as a particular case of the latter one. To solve this time-delay control problem, the Lyapunov-Razumikhin function is adopted rather than the Lyapunov-Krasovskii functional. Note that the complexity in controller design and computation can be significantly reduced by the proposed method. In addition, the Takagi-Sugeno fuzzy systems are employed to represent nonlinear systems. Simulation results on a continuous stirred-tank reactor (CSTR) system are illustrated to verify the effectiveness of the proposed model predictive control approach.

Original languageEnglish
Title of host publicationControl Strategy for Time-Delay Systems
Subtitle of host publicationPart I: Concepts and Theories
Number of pages19
ISBN (Electronic)9780128205990
Publication statusPublished - 5 Feb 2021
Externally publishedYes


  • Lyapunov-Razumikhin
  • Model predictive control
  • T-S fuzzy system
  • Time-varying delay
  • Unknown delay

ASJC Scopus subject areas

  • Engineering(all)


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