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Multiple Lyapunov Functions for Adaptive Neural Tracking Control of Switched Nonlinear Nonlower-Triangular Systems

Authors :
Wanlu Zhou
Haitao Li
Yan-Jun Liu
Junqing Li
Ben Niu
Peiyong Duan
Source :
IEEE Transactions on Cybernetics. 50:1877-1886
Publication Year :
2020
Publisher :
Institute of Electrical and Electronics Engineers (IEEE), 2020.

Abstract

In this paper, the problem of adaptive neural tracking control for a type of uncertain switched nonlinear nonlower-triangular system is considered. The innovations of this paper are summarized as follows: 1) input to state stability of unmodeled dynamics is removed, which is an indispensable assumption for the design of nonswitched unmodeled dynamic systems; 2) the design difficulties caused by the nonlower-triangular structure is handled by applying the universal approximation ability of radial basis function neural networks and the inherent properties of Gaussian functions, which avoids the restriction that the monotonously increasing bounding functions of the nonlower-triangular system functions must exist; and 3) multiple Lyapunov functions are utilized to develop a backstepping-like recursive design procedure such that the solvability of the adaptive neural tracking control issue of all subsystems is unnecessary. Based on the proposed controller design methods, it can be obtained that all signals in the closed-loop switched system remain bounded and the tracking error can eventually converge to a small neighborhood of the origin. In the simulation study, two examples are supplied to prove the practicability and feasibility of the developed design schemes.

Details

ISSN :
21682275 and 21682267
Volume :
50
Database :
OpenAIRE
Journal :
IEEE Transactions on Cybernetics
Accession number :
edsair.doi.dedup.....5bdb013613b436ef1f0b1988753c01da
Full Text :
https://doi.org/10.1109/tcyb.2019.2906372