Set-Membership Filtering for State-Saturated Systems With Mixed Time-Delays Under Weighted Try-Once-Discard Protocol

• Published in: IEEE transactions on circuits and systems. II, Express briefs Express briefs, 2019-02, Vol.66 (2), p.312-316
• Main Authors: Li, Xuerong, Dong, Hongli, Wang, Zidong, Han, Fei
• Format: Article
• Language: English
• Subjects: Circuits and systems; Delays; Ellipsoids; Filter design (mathematics); Linear matrix inequalities; Mathematical analysis; Matrix methods; mixed time-delays; Protocols; Set-membership filtering; Signal processing algorithms; state-saturated systems; Time-varying systems; weighted try-once-discard protocol
• ISSN: 1549-7747; 1558-3791
• DOI: 10.1109/TCSII.2018.2855701

This brief is concerned with the set-membership filtering problem for a class of time-varying state-saturated systems with mixed time-delays under the communication protocol. Under the weighted try-once-discard (WTOD) protocol, only the sensor node with the largest measurement difference is allowed to access the shared communication network at each transmission instant. The purpose of the problem addressed is to design a set of set-membership filters such that, in the simultaneous presence of mixed time-delays, state saturation, WTOD protocol and bounded noises, the filtering error dynamics is confined to certain ellipsoid regions. A sufficient condition is derived to guarantee the existence of the desired set-membership filters by means of the solutions to a set of recursive linear matrix inequalities. Subsequently, an optimization problem subject to certain inequality constraints is put forward to acquire the minimized ellipsoid in the sense of matrix trace. A simulation example is presented to illustrate the effectiveness of the proposed filter design scheme.