Referenced Items are not available for this document.
This paper discusses the stability of Takagi-Sugeno fuzzy models via the so-called fuzzy Lyapunov function which is a multiple Lyapunov function. The fuzzy Lyapunov function is defined by fuzzily blending quadratic Lyapunov functions. Based on a fuzzy Lyapunov approach, we gives the stability conditions for open-loop fuzzy systems. All the conditions derived here are represented in terms of linear matrix inequalities (LMIs) and contain upper bounds of the time derivative of premise membership functions as LMI variables. Hence, the treatment of the upper bounds play an important and effective role in system analysis and design. In addition, relaxed stability conditions are also derived by considering the property of the time derivative of premise membership functions. Several analysis and design examples illustrate the utility of the fuzzy Lyapunov approach
Published in:
American Control Conference, 2001. Proceedings of the 2001
(Volume:6
)
Date of Conference: 2001
- Page(s):
- 4790 - 4795 vol.6
- Meeting Date :
- 25 Jun 2001-27 Jun 2001
- ISSN :
- 0743-1619
- Print ISBN:
- 0-7803-6495-3
- INSPEC Accession Number:
- 7120911
- Conference Location :
- Arlington, VA
- Digital Object Identifier :
- 10.1109/ACC.2001.945740
- Product Type:
- Conference Publications
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