Nonlinear Systems with Uncertain Periodically Disturbed Control Gain Functions: Adaptive Fuzzy Control with Invariance Properties

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 entry

@article{LvDeS:19-021,
author={M. Lv and B. {D}e Schutter and W. Yu and W. Zhang and S. Baldi},
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},
doi={10.1109/TFUZZ.2019.2915192}
}

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