Title
Barrier Lyapunov function-based tracking control for stochastic nonlinear systems with full-state constraints and input saturation
Abstract
This paper investigates the adaptive tracking control problem of stochastic nonlinear systems under the conditions of full-state constraints and input saturation. The barrier Lyapunov function (BLF) is applied to handle the full-state constraints. To deal with the input saturation, a distinctive method of introducing an auxiliary system is adopted. Then, a systematic controller design procedure is given by combining a novel radial basis function neural network (RBF NN) approximation approach with backstepping technique.By this way, an adaptive state-feedback controller with only one adaptive law is obtained, which renders the closed-loop system semi-globally uniformly ultimately bounded. Meanwhile, the tracking error is bounded by an explicit function of the design parameters and saturated input error. In addition, the full-states are not violated. Finally, a simple pendulum system and a numerical example are simulated to demonstrate the effectiveness of the proposed scheme.
Year
DOI
Venue
2020
10.1016/j.jfranklin.2020.09.022
Journal of the Franklin Institute
DocType
Volume
Issue
Journal
357
17
ISSN
Citations 
PageRank 
0016-0032
0
0.34
References 
Authors
0
4
Name
Order
Citations
PageRank
Huifang Min1479.39
Na Duan226212.56
Shengyuan Xu3110560.42
Shu-Min Fei4115096.93