Nonlinear Systems with Uncertain Periodically Disturbed Control Gain Functions

Adaptive Fuzzy Control with Invariance Properties

Journal article (2020)

Authors

Maolong Lv Team Bart De Schutter - Mechanical, Maritime and Materials Engineering
B.H.K. De Schutter Delft Center for Systems and Control , Team Bart De Schutter - Mechanical, Maritime and Materials Engineering
Wenwu Yu Southeast University
Wenqian Zhang Air Force Engineering University China
S. Baldi Southeast University, Team Bart De Schutter - Mechanical, Maritime and Materials Engineering
Research Group
Team Bart De Schutter (Mechanical, Maritime and Materials Engineering) (TU Delft)
Copyright: © 2020 Maolong Lv, B.H.K. De Schutter, Wenwu Yu, Wenqian Zhang, S. Baldi
DOI: https://doi.org/10.1109/TFUZZ.2019.2915192
Adaptive fuzzy control Dynamic surface control (DSC) Invariant set theory Periodic disturbances
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Published Date

2020

Language

English

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Faculty

Mechanical, Maritime and Materials Engineering

Department

Delft Center for Systems and Control

Research Group

Team Bart De Schutter

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 the Lyapunov theory. In other words, boundedness is achieved a posteriori as a result of stability analysis. The approximator composed of fuzzy logic systems and Fourier series expansion is constructed to deal with the unknown periodic disturbance terms.