Open AccessAdaptive control of non‐affine MIMO systems with input non‐linearity and unmodelled dynamics
Author(s) -
Li Hongchun
Publication year - 2019
Publication title -
the journal of engineering
Language(s) - English
Resource type - Journals
ISSN - 2051-3305
DOI - 10.1049/joe.2018.9397
Subject(s) - affine transformation , control theory (sociology) , mimo , bounded function , artificial neural network , computation , nonlinear system , mathematics , adaptive control , computer science , control (management) , algorithm , mathematical analysis , artificial intelligence , geometry , beamforming , statistics , physics , quantum mechanics
In this study, an adaptive neural network control scheme is proposed for a class of multi‐input multi‐output (MIMO) non‐affine systems with unmodelled dynamics and dead‐zone non‐linear input. This scheme solves the complexity of computation problem, broadens the variables of unmodelled dynamics and cancels the assumption of the neural network approximation error to be bounded. Using the mean value theorem and Young's inequality, only one adaptive parameter is adjusted for the whole MIMO system. By theoretical analysis, all the signals in the closed‐loop systems are proved to be semi‐globally uniformly ultimately boundedness. The numerical simulation illustrates the effectiveness of the proposed scheme.