Abstract
A novel approach for solving fuzzy model-based stability problems via evolutionary computation (EC) is presented. Gain scheduling problem of a multi-model fuzzy system that satisfies the Lyapunov stability criteria is solved. The generalized eigenvalue problem (GEVP) can be directly introduced to EC in searching positive definite (PD) or positive semi-definite (PSD) matrices, by making a penalty for an individual that violates the inequality condition in order to solve the nonlinear constraints or linear matrix inequalities (LMIs). Four examples for illustrating the proposed methodology are included and the results show the effectiveness.
| Original language | English |
|---|---|
| Pages (from-to) | 25-34 |
| Number of pages | 10 |
| Journal | Applied Soft Computing Journal |
| Volume | 4 |
| Issue number | 1 |
| DOIs | |
| Publication status | Published - Feb 1 2004 |
| Externally published | Yes |
Keywords
- Evolutionary computation
- Fuzzy controllers
- Linear matrix inequalities
- System stability
ASJC Scopus subject areas
- Software
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Udawatta, L., Watanabe, K., Kiguchi, K., & Izumi, K. (2004). Solution to global stability of fuzzy regulators via evolutionary computation. Applied Soft Computing Journal, 4(1), 25-34. https://doi.org/10.1016/j.asoc.2003.05.009