Output Feedback Control of Fuzzy Systems via Reduced-Order Approximation Technique

Xiaojie Su, Qianqian Chen, Shaoxin Sun, Zhenshan Bing, Alois Knoll

Research output: Contribution to journalArticlepeer-review

2 Scopus citations

Abstract

This article focuses on the problem of designing the reduced-order dynamic output feedback (DOF) controller for discrete-time T-S fuzzy plants. Differing from the existing methodologies, the reduced-order approximation technique is applied to simplify the pregiven high-order DOF controller. The key point is to construct a reduced-order closed-loop model to approximate the original high-order closed-loop system. First, a new error auxiliary system between the high-order closed-loop system and the reduced-order closed-loop model is obtained. The sufficient conditions to guarantee that the corresponding error system is asymptotically stable with a prescribed H performance index are developed. Then, the parameters of the desired reduced-order controller are derived by utilizing the projection lemma and the cone complementary linearization algorithm. Finally, the advantages of the proposed technique are illustrated by a series of simulation analysis.

Original languageEnglish
Pages (from-to)5466-5477
Number of pages12
JournalIEEE Transactions on Systems, Man, and Cybernetics: Systems
Volume53
Issue number9
DOIs
StatePublished - 1 Sep 2023

Keywords

  • Controller reduction
  • fuzzy control
  • fuzzy18 systems
  • output feedback control

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