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Decentralized Neural Control Structure

Authors:Benitez Victor H., CINVESTAV, Unidad Guadalajara, Mexico
Sanchez Edgar N., CINVESTAV, Unidad Guadalajara, Mexico
Loukianov Alexander G., CINVESTAV, Unidad Guadalajara, Mexico
Topic:5.4 Large Scale Complex Systems
Session:Large Scale Complex Systems
Keywords: Variable structure Control, Nonlinear Systems, Recurrent Neural Networks, Large Scale Systems

Abstract

A novel decentralized variable structure control approach for large scale uncertain systems is developed using Recurrent High Orfer Neural Networks (RHONN). It is assumed that each subsystem belongs to a class of block controllable nonlinear systems whose vector fields includes interconections terms, which are bounded by nonlinear functions. A decentralized RHONN structure and the respective learning law are proposed in order to approximate on-line the dynamical behavior of each nonlinear subsystem. The control law, which is able to ensure tracking of 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 algorithm is illustrated via simulations as applied to an interconnected double inverted pendulum.