Dynamic feedback backstepping control for a class of MIMO nonaffine block nonlinear systems
type: Item
instance of: scholarly article
title: Dynamic feedback backstepping control for a class of MIMO nonaffine block nonlinear systems
zbMATH Open document ID: 1264.93104
DOI: 10.1155/2012/493715
author: Yanyan Li
published in: Mathematical Problems in Engineering
publication date: 2013-06-11T00:00:00Z
review text: Summary: For a class of MIMO nonaffine block nonlinear systems, a neural network- (NN-) based dynamic feedback backstepping control design method is proposed to solve the tracking problem. This problem is difficult to be dealt with in the control literature, mainly because the inverse controls of block nonaffine systems are not easy to resolve. To overcome this difficulty, dynamic feedback, backstepping design, sliding mode-like technique, NN, and feedback linearization techniques are incorporated to deal with this problem, in which the NNs are used to approximate and adaptively cancel the uncertainties. It is proved that the whole closed-loop system is stable in the sense of Lyapunov. Finally, simulations verify the effectiveness of the proposed scheme.
Mathematics Subject Classification ID: 93C40
Mathematics Subject Classification ID: 93C10
Mathematics Subject Classification ID: 93A15
zbMATH DE Number: 6173329
MaRDI profile type: Publication
full work available at URL: https://doi.org/10.1155/2012/493715
OpenAlex ID: W1977111950
Wikidata QID: Q58911822
cites work: Nonlinear control systems.
cites work: Control Lyapunov functions for adaptive nonlinear stabilization
cites work: Correlation and High-Dimensional Consistency in Pattern Recognition
cites work: Hamilton’s principal function and integration by quadratures for an N-degree-of-freedom non - autonomous system given N invertible invariants in involution
cites work: A new quantum vortex operator and its correlation functions.
cites work: Author's reply
cites work: Database and application security XV. IFIP TC11/ WG11. 3 15th annual working conference, Niagara on the Lake, Ontario, Canada, July 15--18, 2001
cites work: Reduced order observers for the sliding mode control of mechanical systems with elastic joints
cites work: Flight control design using non-linear inverse dynamics
cites work: Q3996565
cites work: Feedback stabilization of general nonlinear control systems: A passive system approach
cites work: Global asymptotic stabilization of general nonlinear systems with stable free dynamics via passivity and bounded feedback
cites work: Stabilization of nonaffine systems: a constructive method for polynomial systems
cites work: Global adaptive stabilization of cascade nonlinear systems
cites work: Stabilization of invariant sets for nonlinear non-affine systems
cites work: A `universal' construction of Artstein's theorem on nonlinear stabilization
cites work: Model reference control of non-linear systems via implicit function emulation
cites work: Adaptive dynamic inversion for nonaffine-in-control uncertain systems via time-scale separation. II
cites work: Proportional-Integral Controllers for Minimum-Phase Nonaffine-in-Control Systems
cites work: Adaptive T-S fuzzy-neural modeling and control for general MIMO unknown nonaffine nonlinear systems using projection update laws
cites work: Nonlinear Flight Control Using Neural Networks
cites work: Design and performance analysis of a direct adaptive controller for nonlinear systems
cites work: Q4852125
cites work: Stable adaptive neural network control
description: scientific article; zbMATH DE number 6173329