H∞ Filtering for Multi-Rate Systems under p-Persistent CSMA Protocol
Yuxuan Shen, Zidong Wang, Hongli Dong · 2023
In this chapter, the H-infinity filtering problem is concerned for a class of discrete networked multi-rate multi-sensor systems with randomly occurring sensor saturations under the p -persistent carrier sense multiple access (CSMA) protocol. A set of mutually independent Bernoulli distributed white sequences is introduced to characterize the random occurrence of the sensor saturations. The p -persistent carrier sense multiple access protocol is employed to decide which sensor is allowed to transmit its measurement to the filter at a certain time instant. By using the lifting technique, the multi-rate system is converted to a single-rate one for convenient analysis. Sufficient conditions are established on the existence of the desired H-infinity filters and the corresponding filter gains are then characterized by resorting to the feasibility of certain matrix inequalities. Finally, a numerical example is given to illustrate the effectiveness of the proposed filtering scheme.