Dilated LMIs based stability analysis for artificial T-S fuzzy control systems

Dae Young Kim, Jin Bae Park, Young Hoon Joo

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

Abstract

This paper presents relaxed stabilization condition for artificial Takagi-Sugeno (T-S) fuzzy control systems. Continuous membership functions of the T-S fuzzy system are represented by staircase membership functions. With the property of the staircase membership functions, it turns the set of infinite number of linear matrix inequalities(LMIs) based stability conditions into a finite one. The proposed stability analysis is represented dilated LMIs which is used to add slack variables for less conservative stability conditions. Finally, simulation example is given to illustrate the merits of the proposed method.

Original languageEnglish
Title of host publicationICCAS 2013 - 2013 13th International Conference on Control, Automation and Systems
Pages677-682
Number of pages6
DOIs
Publication statusPublished - 2013 Dec 1
Event2013 13th International Conference on Control, Automation and Systems, ICCAS 2013 - Gwangju, Korea, Republic of
Duration: 2013 Oct 202013 Oct 23

Publication series

NameInternational Conference on Control, Automation and Systems
ISSN (Print)1598-7833

Other

Other2013 13th International Conference on Control, Automation and Systems, ICCAS 2013
CountryKorea, Republic of
CityGwangju
Period13/10/2013/10/23

Fingerprint

Membership functions
Fuzzy control
Linear matrix inequalities
Control systems
Fuzzy systems
Stabilization

All Science Journal Classification (ASJC) codes

  • Artificial Intelligence
  • Computer Science Applications
  • Control and Systems Engineering
  • Electrical and Electronic Engineering

Cite this

Kim, D. Y., Park, J. B., & Joo, Y. H. (2013). Dilated LMIs based stability analysis for artificial T-S fuzzy control systems. In ICCAS 2013 - 2013 13th International Conference on Control, Automation and Systems (pp. 677-682). [6703955] (International Conference on Control, Automation and Systems). https://doi.org/10.1109/ICCAS.2013.6703955
Kim, Dae Young ; Park, Jin Bae ; Joo, Young Hoon. / Dilated LMIs based stability analysis for artificial T-S fuzzy control systems. ICCAS 2013 - 2013 13th International Conference on Control, Automation and Systems. 2013. pp. 677-682 (International Conference on Control, Automation and Systems).
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Kim, DY, Park, JB & Joo, YH 2013, Dilated LMIs based stability analysis for artificial T-S fuzzy control systems. in ICCAS 2013 - 2013 13th International Conference on Control, Automation and Systems., 6703955, International Conference on Control, Automation and Systems, pp. 677-682, 2013 13th International Conference on Control, Automation and Systems, ICCAS 2013, Gwangju, Korea, Republic of, 13/10/20. https://doi.org/10.1109/ICCAS.2013.6703955

Dilated LMIs based stability analysis for artificial T-S fuzzy control systems. / Kim, Dae Young; Park, Jin Bae; Joo, Young Hoon.

ICCAS 2013 - 2013 13th International Conference on Control, Automation and Systems. 2013. p. 677-682 6703955 (International Conference on Control, Automation and Systems).

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

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Kim DY, Park JB, Joo YH. Dilated LMIs based stability analysis for artificial T-S fuzzy control systems. In ICCAS 2013 - 2013 13th International Conference on Control, Automation and Systems. 2013. p. 677-682. 6703955. (International Conference on Control, Automation and Systems). https://doi.org/10.1109/ICCAS.2013.6703955