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Multiple Lyapunov Functions for Adaptive Neural Tracking Control of Switched Nonlinear Nonlower-Triangular Systems
- 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.
- Subjects :
- Lyapunov function
0209 industrial biotechnology
Artificial neural network
Computer science
Gaussian
Stability (learning theory)
02 engineering and technology
Dynamical system
Computer Science Applications
Human-Computer Interaction
Tracking error
Nonlinear system
symbols.namesake
020901 industrial engineering & automation
Control and Systems Engineering
Control theory
Adaptive system
Bounded function
0202 electrical engineering, electronic engineering, information engineering
symbols
020201 artificial intelligence & image processing
Electrical and Electronic Engineering
Software
Information Systems
Subjects
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