H∞ finite‐horizon filtering for complex networks with state saturations: The weighted try‐once‐discard protocol

• Published in: International journal of robust and nonlinear control Vol. 29; no. 7; pp. 2096 - 2111
• Main Authors: Wang, Dong, Wang, Zidong, Shen, Bo, Li, Qi
• Format: Journal Article
• Language: English
• Published: Bognor Regis Wiley Subscription Services, Inc 10.05.2019
• Subjects: Algorithms; Attenuation; complex networks; Computational geometry; Computer simulation; Convexity; Filtration; finite‐horizon case; H-infinity control; Hulls; H∞ filtering; Protocol; Protocol (computers); state‐saturated systems; time‐varying systems; weighted try‐once‐discard protocol
• ISSN: 1049-8923; 1099-1239
• DOI: 10.1002/rnc.4479

Summary This paper addresses the finite‐horizon H∞ filtering problem for a kind of discrete state‐saturated time‐varying complex networks subjected to the weighted try‐once‐discard (WTOD) protocol. Under the WTOD protocol, only the measurement signal from one sensor node is allowed to be transmitted to the filter at each time point, where such a node is selected based on a certain quadratic selection principle. The main purpose of this paper is to design an H∞ filter that guarantees the disturbance attenuation level on a given finite time‐horizon for the underlying complex network subject to both state saturations and WTOD protocols. By using the convex hull approach, sufficient conditions are first obtained to ensure the existence for the desired filter to achieve the H∞ performance specification by means of a few recursive matrix inequalities. Then, based on the obtained results, the filter parameters are designed, which cope effectively with both state saturations and communication protocols. Finally, a numerical simulation is employed to demonstrate the validity of the developed filter algorithm.