Guaranteed Cost Finite-Time Control of Uncertain Coupled Neural Networks

• Published in: IEEE transactions on cybernetics Vol. 52; no. 1; pp. 481 - 494
• Main Authors: Mei, Jun, Lu, Zhenyu, Hu, Junhao, Fan, Yuling
• Format: Journal Article
• Language: English
• Published: United States IEEE 01.01.2022; The Institute of Electrical and Electronics Engineers, Inc. (IEEE)
• Subjects: Adaptive control; Algorithms; Control systems; Control theory; Convergence; Cost function; Feedback; Feedback control; Finite-time synchronization; guaranteed cost control; intermittent control; Linear matrix inequalities; Mathematical analysis; Neural networks; Neural Networks, Computer; Optimization; Parameter uncertainty; Robust control; Synchronization; Time synchronization; uncertain coupled neural networks; Upper bound; Upper bounds
• ISSN: 2168-2267; 2168-2275
• DOI: 10.1109/TCYB.2020.2971265

This article investigates a robust guaranteed cost finite-time control for coupled neural networks with parametric uncertainties. The parameter uncertainties are assumed to be time-varying norm bounded, which appears on the system state and input matrices. The robust guaranteed cost control laws presented in this article include both continuous feedback controllers and intermittent feedback controllers, which were rarely found in the literature. The proposed guaranteed cost finite-time control is designed in terms of a set of linear-matrix inequalities (LMIs) to steer the coupled neural networks to achieve finite-time synchronization with an upper bound of a guaranteed cost function. Furthermore, open-loop optimization problems are formulated to minimize the upper bound of the quadratic cost function and convergence time, it can obtain the optimal guaranteed cost periodically intermittent and continuous feedback control parameters. Finally, the proposed guaranteed cost periodically intermittent and continuous feedback control schemes are verified by simulations.