Decentralized adaptive recurrent neural control structure

Authors:
Victor H. Benitez;Edgar N. Sanchez;Alexander G. Loukianov
Affiliations:
CINVESTAV, Unidad Guadalajara, Apartado Postal 31-438, Plaza la Luna, Guadalajara, Jalisco C.P. 45091, Mexico;CINVESTAV, Unidad Guadalajara, Apartado Postal 31-438, Plaza la Luna, Guadalajara, Jalisco C.P. 45091, Mexico;CINVESTAV, Unidad Guadalajara, Apartado Postal 31-438, Plaza la Luna, Guadalajara, Jalisco C.P. 45091, Mexico
Venue:
Engineering Applications of Artificial Intelligence
Year:
2007

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Abstract

This paper presents a novel decentralized variable structure neural control approach for large-scale uncertain systems, which is developed using recurrent high-order neural networks (RHONN). It is assumed that each subsystem belongs to a class of block-controllable nonlinear systems whose vector fields includes interconnection terms, which are bounded by nonlinear functions. A decentralized RHONN structure and the respective learning law are proposed in order to approximate online the dynamical behavior of each nonlinear subsystem. The control law, which is able to regulate and to track the desired reference signals, is designed using the well-known variable structure theory. The stability of the whole system is analyzed via the Lyapunov methodology. The applicability of the proposed decentralized identification and control algorithm is illustrated via simulations as applied to an interconnected double inverted pendulum.