An analytical fuzzy-based approach to L2-gain optimal control of input-affine nonlinear systems using Newton-type algorithm (CROSBI ID 196734)
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Podaci o odgovornosti
Milić, Vladimir ; Kasać, Josip ; Novaković, Branko
engleski
An analytical fuzzy-based approach to L2-gain optimal control of input-affine nonlinear systems using Newton-type algorithm
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.
analytic fuzzy control ; L2-gain optimization ; Newton's method ; Input-affine nonlinear systems
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Podaci o izdanju
46 (13)
2015.
2448-2460
objavljeno
0020-7721
10.1080/00207721.2013.860640