Set-Membership Filtering for Time-Varying Complex Networks with Randomly Varying Nonlinear Coupling Structure

• Published in: Circuits, systems, and signal processing Vol. 42; no. 9; pp. 5233 - 5251
• Main Authors: Lin, Ming, Li, Jie, Zeng, Yan-Ni, Liu, Chang, Rao, Hongxia
• Format: Journal Article
• Language: English
• Published: New York Springer US 01.09.2023; Springer Nature B.V
• Subjects: Algorithms; Circuits; Circuits and Systems; Coupling; Electrical Engineering; Electronics and Microelectronics; Engineering; Filtration; Instrumentation; Kalman filters; Linear matrix inequalities; Networks; Random variables; Signal processing; Signal,Image and Speech Processing; Randomly varying coupling structure; Set-membership filtering; Recursive matrix inequalities; Complex networks
• ISSN: 0278-081X; 1531-5878
• DOI: 10.1007/s00034-023-02371-w

This paper is concerned with set-membership filtering for time-varying complex networks with randomly varying nonlinear coupling structure. A novel coupling model governed by a sequence of Bernoulli stochastic variables is proposed. The connection relationships among multiple nodes of complex networks are nonlinear. Utilizing the mathematical induction method, a sufficient condition is derived to remain the filtering error within an ellipsoid region at each time step. Subsequently, the desired filter gain is obtained by minimizing the ellipsoid constraint matrix (in the sense of trace) according to a recursive linear matrix inequalities algorithm. Finally, a simulation example is presented to illustrate the effectiveness of the proposed theory.