Adaptive Neural Dynamic Surface Control With Prespecified Tracking Accuracy of Uncertain Stochastic Nonstrict-Feedback Systems

• Published in: IEEE transactions on cybernetics Vol. 52; no. 5; pp. 3408 - 3421
• Main Authors: Wu, Jian, Chen, Xuemiao, Zhao, Qianjin, Li, Jing, Wu, Zheng-Guang
• Format: Journal Article
• Language: English
• Published: United States IEEE 01.05.2022; The Institute of Electrical and Electronics Engineers, Inc. (IEEE)
• Subjects: Accuracy; Adaptive control; Adaptive neural control; Adaptive systems; Artificial neural networks; Continuity (mathematics); Control systems design; Controllers; dynamic surface technique; Feedback; Fuzzy control; MIMO communication; Neural networks; Nonlinear filters; Nonlinear systems; prespecified tracking accuracy; Radial basis function; stochastic nonstrict-feedback systems; Stochastic systems; Switches; Tracking control; Tracking errors
• ISSN: 2168-2267; 2168-2275; 2168-2275
• DOI: 10.1109/TCYB.2020.3012607

This article addresses the adaptive neural tracking control problem for a class of uncertain stochastic nonlinear systems with nonstrict-feedback form and prespecified tracking accuracy. Some radial basis function neural networks (RBF NNs) are used to approximate the unknown continuous functions online, and the desired controller is designed via the adaptive dynamic surface control (DSC) method and the gain suppressing inequality technique. Different from the reported works on uncertain stochastic systems, by combining some non-negative switching functions and dynamic surface method with the nonlinear filter, the design difficulty is overcome, and the control performance is analyzed by employing stochastic Barbalat's lemma. Under the constructed controller, the tracking error converges to the accuracy defined a priori in probability. The simulation results are shown to verify the availability of the presented control scheme.