Milić, Vladimir and Kasać, Josip and Novaković, Branko (2015) An analytical fuzzy-based approach to L2-gain optimal control of input-affine nonlinear systems using Newton-type algorithm. = An analytical fuzzy-based approach to L2-gain optimal control of input-affine nonlinear systems using Newton-type algorithm. International Journal of Systems Science, 46 (13). pp. 2448-2460. ISSN 0020-7721. Vrsta rada: ["eprint_fieldopt_article_type_article" not defined]. Kvartili JCR: Q1 (2015). Točan broj autora: 3.
Full text not available from this repository.Abstract
This paper is concerned with L2-gain optimisation of input-affine nonlinear systems controlled by analytic fuzzy logic system. Unlike the conventional fuzzy-based strategies, the non-conventional analytic fuzzy control method does not require an explicit fuzzy rule base. As the first contribution of this paper, we prove, by using the Stone–Weierstrass theorem, that the proposed fuzzy system without rule base is universal approximator. The second contribution of this paper is an algorithm for solving a finite-horizon minimax problem for L2-gain optimisation. The proposed algorithm consists of recursive chain rule for first- and second-order derivatives, Newton’s method, multi-step Adams method and automatic differentiation. Finally, the results of this paper are evaluated on a second-order nonlinear system.
| Item Type: | Article (["eprint_fieldopt_article_type_article" not defined]) |
|---|---|
| Keywords (Croatian): | analytic fuzzy control; L2-gain optimization; Newton's method; input-affine nonlinear systems |
| Subjects: | TECHNICAL SCIENCE > Mechanical Engineering |
| Divisions: | 900 Department of Robotics and Production System Automation > 910 Chair of Engineering Automation |
| Indexed in Web of Science: | Yes |
| Indexed in Current Contents: | Yes |
| Quartiles: | Q1 (2015) |
| Date Deposited: | 12 May 2015 12:14 |
| Last Modified: | 14 Dec 2018 12:17 |
| URI: | http://repozitorij.fsb.hr/id/eprint/4017 |
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