Robust finite frequency H∞ distributed memory filter design for networked control systems with polytopic uncertainty

This paper addresses the robust finite frequency (FF) H infinity distributed filtering problem for uncertain networked control system (NCS) that consists of heterogeneous subsystems. By using past output measurements and considering the frequency information of disturbance signals, the designed distributed memory filter is able to guarantee that the filtering error system is well-posed, stable and has the FF H infinity performance. Based on the extended finite frequency bounded realness lemma for uncertain NCSs, the existence condition of robust FF H infinity distributed memory filter is derived. Moreover, it is shown that by taking advantage of more past output measurements of NCS, the proposed design procedure can derive a distributed filter that achieves a lower H infinity performance bound. Finally, a practical example is given to show the effectiveness of the proposed filter design method.