Reference
M. Lv, B. De Schutter, W. Yu, W. Zhang, and S. Baldi, "Nonlinear systems with
uncertain periodically disturbed control gain functions: Adaptive fuzzy control
with invariance properties,"
IEEE Transactions on Fuzzy
Systems, vol. 28, no. 4, pp. 746-757, Apr. 2020.
Abstract
This paper proposes a novel adaptive fuzzy dynamic surface control (DSC) method
for an extended class of periodically disturbed strict-feedback nonlinear
systems. The peculiarity of this extended class is that the control gain
functions are not bounded a priori but simply taken to be continuous and with a
known sign. In contrast with existing strategies, controllability must be
guaranteed by constructing appropriate compact sets ensuring that all
trajectories in the closed-loop system never leave these sets. We manage to do
this by means of invariant set theory in combination with Lyapunov theory. In
other words, boundedness is achieved a posteriori as a result of stability
analysis. The approximator composed of fuzzy logic systems (FLSs) and Fourier
series expansion (FSE) is constructed to deal with the unknown periodic
disturbance terms.
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BibTeX
@article{LvDeS:19-021,
author = {Lv, Maolong and De Schutter, Bart and Yu, Wenwu and Zhang,
Wenqian and Baldi, Simone},
title = {Nonlinear Systems with Uncertain Periodically Disturbed Control
Gain Functions: {Adaptive} Fuzzy Control with Invariance
Properties},
journal = {IEEE Transactions on Fuzzy Systems},
volume = {28},
number = {4},
pages = {746--757},
month = apr,
year = {2020}
}