H∞ CONTROL SYNTHESIS FOR LURIE NETWORKED CONTROL SYSTEMS WITH MULTIPLE DELAYS BASED ON THE NON-UNIFORM CHARACTERISTIC

This paper investigates the H control synthesis problem for Lurie networked control systems (NCSs) with multiple time-varying delays. With the consideration of both network-induced delays and data packet dropout, Lurie NCSs discussed in this work can effectively be transformed into Lurie control systems with multiple time-varying delays. In addition, with the non-uniform distribution characteristics of network delays, based on the delay probability distribution, the stable controller design, and H synthesis, approaches are derived in the form of linear matrix inequalities (LMIs). Finally, a set of numerical examples are studied, and the results demonstrate the applicability and effectiveness of the suggested approaches.