Composite Anti-Disturbance Synchronization Control for Delayed Neural Networks Subject to Unknown Disturbances

• Published in: Circuits, systems, and signal processing Vol. 40; no. 4; pp. 1986 - 2005
• Main Authors: Wang, Ting, Chen, Linbo, Li, Tao, Fei, Shumin
• Format: Journal Article
• Language: English
• Published: New York Springer US 01.04.2021; Springer Nature B.V
• Subjects: Circuits and Systems; Co-design; Control stability; Control systems design; Controllers; Electrical Engineering; Electronics and Microelectronics; Engineering; H-infinity control; Instrumentation; Linear matrix inequalities; Mathematical analysis; Neural networks; Short Paper; Signal,Image and Speech Processing; Synchronism; performance; Master–slave synchronization; Neural networks; External disturbance; Time-varying delay
• ISSN: 0278-081X; 1531-5878
• DOI: 10.1007/s00034-020-01562-z

This paper studies the master–slave synchronization in a class of delayed neural networks under external disturbance. Initially, based on an exogenous disturbance model, an effective observer is proposed to estimate the disturbance and the estimation is further utilized to design the composite controller. Then, as for the overall closed-loop error system, by choosing an augmented Lyapunov–Krasovskii functional and using some recently reported techniques, a sufficient condition is established to guarantee the desired stability and H ∞ control performance. Furthermore, by combining free-weighting matrix technique with matrix transformation one, two co-design methods are obtained to ensure the existence of observer gain and controller ones in terms of linear matrix inequalities, which can possess much less conservatism. Finally, some comparisons and simulations in an example are given to illustrate our proposed methods.