Specific stability region analysis for uncertain fuzzy descriptor systems with multiple derivative matrices
| Autor: | Chih-Peng Huang |
|---|---|
| Rok vydání: | 2014 |
| Předmět: |
0209 industrial biotechnology
Mathematical optimization Current (mathematics) Linear matrix inequality Regular polygon Stability (learning theory) 02 engineering and technology Fuzzy control system Fuzzy logic Computer Science Applications Theoretical Computer Science Nonlinear system 020901 industrial engineering & automation Control and Systems Engineering 0202 electrical engineering electronic engineering information engineering Applied mathematics 020201 artificial intelligence & image processing Projection (set theory) Mathematics |
| Zdroj: | International Journal of Systems Science. 47:1917-1930 |
| ISSN: | 1464-5319 0020-7721 |
| DOI: | 10.1080/00207721.2014.960501 |
| Popis: | This paper addresses the specific stability region for uncertain fuzzy descriptor systems with distinct derivative matrices in the rules. First, an equivalent poles’ location criterion for the nominal descriptor system is originally derived and expressed as one compact form of strict and complex linear matrix inequality LMI. Then, the result can be extended to cope with the specific stability region for the uncertain fuzzy descriptor systems with integrating multiple derivative matrices. Moreover, since the presented criteria involve complex LMIs, we appropriately conduct a projection scheme, where current LMI tools cannot evaluate them. By deriving useful projection operators onto the formed convex sets, an analysing algorithm is consequently presented for numerical evaluation. Finally, three numerical examples, two nonlinear systems and a physical circuit system, are given to demonstrate the validity and the practicability of the proposed approach. |
| Databáze: | OpenAIRE |
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