Distributed adaptive NN control for nonlinear multi‐agent systems with function constraints on states

• Published in: International journal of robust and nonlinear control Vol. 33; no. 3; pp. 2041 - 2059
• Main Authors: Ma, Yuzhen, Yuan, Fengyi, Liu, Yan‐Jun, Liu, Lei, Xu, Tongyu
• Format: Journal Article
• Language: English
• Published: Bognor Regis Wiley Subscription Services, Inc 01.02.2023
• Subjects: Adaptive control; backstepping technique; full state constraints; Liapunov functions; Neural networks; Nonlinear control; nonlinear multi‐agent systems; State vectors; Tracking control
• ISSN: 1049-8923; 1099-1239
• DOI: 10.1002/rnc.6482

An adaptive neural network (NN) distributed tracking control strategy is proposed for nonlinear strict‐feedback multi‐agent systems, which is affected by time‐varying full state constraints. The influence of asymmetric state constraints is also considered. The constraint bounds are related to both state vectors and time. Different from the usual constant boundary or function boundary, the constraint boundary adopted in this article not only considers the influence of state variables, but also takes time into consideration, which makes the constraint boundary more flexible and more difficult to solve. In addition, in order to solve the disturbance of the unknown function in the system, this article adopts the NN technology to realize the approximation effect of the unknown function, and designs a adaptive distributed controller based on the asymmetric obstacle Lyapunov function and backward step method, the closed‐loop signals are proved to be CSUUB. Finally, the effectiveness of the proposed method is verified by a simulation example.