Co-design of event-triggered scheme and distributed H<inf>∞</inf> filters for networked systems with sensor networks

This paper is concerned with the problem of event-triggered distributed H <sub xmlns:mml="http://www.w3.org/1998/Math/MathML" xmlns:xlink="http://www.w3.org/1999/xlink">∞</sub> filtering for a class of networked systems with sensor networks. First, an event-triggered scheme is introduced to select those necessary data packets to be transmitted for filter design. As a result, communication and energy resources can be significantly saved while some certain system performance can be preserved. Second, under the event-triggered scheme, a delay system model is established for distributed filtering error systems. The Lyapunov-Krasovskii method is thus employed to formulate a linear matrix inequality based sufficient condition on the existence of suitable distributed H <sub xmlns:mml="http://www.w3.org/1998/Math/MathML" xmlns:xlink="http://www.w3.org/1999/xlink">∞</sub> filters. Third, a co-design algorithm for both distributed H <sub xmlns:mml="http://www.w3.org/1998/Math/MathML" xmlns:xlink="http://www.w3.org/1999/xlink">∞</sub> filters and event-triggered parameters is presented in terms of solutions to a set of linear matrix inequalities. Finally, a numerical example is given to illustrate the effectiveness of the proposed method.