Stabilization and model reference tracking control of discrete-time nonlinear systems via modified fuzzy static output feedback design

Kuo Jung Lin, Tzuu Hseng S. Li

Research output: Chapter in Book/Report/Conference proceedingConference contribution

Abstract

Some new results for stabilization design of discrete-time (DT) nonlinear systems with H∞ performance are proposed in this paper. DT nonlinear systems can be constructed by using the Takagi-Sugeno (T-S) fuzzy model. First, we propose the modified fuzzy static output feedback (MFSOF) controller. The stabilization problem becomes to stabilize a new discrete-time fuzzy descriptor (DTFD) system. Such that, the proposed MFSOF control will stabilize the DT nonlinear systems. Furthermore, model reference fuzzy tracking control (MRFTC) design for the DTFD systems is investigated. The stability conditions can be certificate by using Lyapunov theorem. A practical system is given to verification the proposed formula.

Original languageEnglish
Title of host publication2017 International Conference on Fuzzy Theory and Its Applications, iFUZZY 2017
PublisherInstitute of Electrical and Electronics Engineers Inc.
Pages1-6
Number of pages6
ISBN (Electronic)9781538626962
DOIs
Publication statusPublished - 2018 Mar 9
Event2017 International Conference on Fuzzy Theory and Its Applications, iFUZZY 2017 - Pingtung, Taiwan
Duration: 2017 Nov 122017 Nov 15

Publication series

Name2017 International Conference on Fuzzy Theory and Its Applications, iFUZZY 2017
Volume2017-November

Other

Other2017 International Conference on Fuzzy Theory and Its Applications, iFUZZY 2017
CountryTaiwan
CityPingtung
Period17-11-1217-11-15

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All Science Journal Classification (ASJC) codes

  • Applied Mathematics
  • Control and Optimization
  • Logic
  • Artificial Intelligence
  • Decision Sciences (miscellaneous)

Cite this

Lin, K. J., & Li, T. H. S. (2018). Stabilization and model reference tracking control of discrete-time nonlinear systems via modified fuzzy static output feedback design. In 2017 International Conference on Fuzzy Theory and Its Applications, iFUZZY 2017 (pp. 1-6). (2017 International Conference on Fuzzy Theory and Its Applications, iFUZZY 2017; Vol. 2017-November). Institute of Electrical and Electronics Engineers Inc.. https://doi.org/10.1109/iFUZZY.2017.8311806