LMI-based robust adaptive control for mismatched uncertain nonlinear time-delay systems using fuzzy models

Sung Chieh Liu*, Sheng-Fuu Lin

*Corresponding author for this work

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

4 Scopus citations

Abstract

In this paper, we propose a robust adaptive control design method for uncertain fuzzy time-delay systems that can be represented by Takagi-Sugeno (T-S) fuzzy models. The uncertain fuzzy time-delay systems under consideration have mismatched parameter uncertainties in the state matrix and unknown norm-bounded external disturbances. We derive existence conditions of linear sliding surfaces guaranteeing the asymptotic stability in terms of constrained linear matrix inequalities (LMIs). We present an LMI characterization of such sliding surfaces. Also, an LMI-based algorithm is given to design the switching feedback control term and an adaptation law so that a stable sliding motion is induced in finite time. Finally, we give a numerical example to show the effectiveness of the proposed method.

Original languageEnglish
Title of host publicationProceedings - 2012 International Symposium on Computer, Consumer and Control, IS3C 2012
Pages552-555
Number of pages4
DOIs
StatePublished - 30 Jul 2012
Event2012 International Symposium on Computer, Consumer and Control, IS3C 2012 - Taichung, Taiwan
Duration: 4 Jun 20126 Jun 2012

Publication series

NameProceedings - 2012 International Symposium on Computer, Consumer and Control, IS3C 2012

Conference

Conference2012 International Symposium on Computer, Consumer and Control, IS3C 2012
CountryTaiwan
CityTaichung
Period4/06/126/06/12

Keywords

  • Adaptive control
  • Linear matrix inequality (LMI)
  • Sliding €surface
  • Switching feedback control
  • Uncertain fuzzy time-delay systems

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    Liu, S. C., & Lin, S-F. (2012). LMI-based robust adaptive control for mismatched uncertain nonlinear time-delay systems using fuzzy models. In Proceedings - 2012 International Symposium on Computer, Consumer and Control, IS3C 2012 (pp. 552-555). [6228368] (Proceedings - 2012 International Symposium on Computer, Consumer and Control, IS3C 2012). https://doi.org/10.1109/IS3C.2012.145