Journal
IET CONTROL THEORY AND APPLICATIONS
Volume 14, Issue 10, Pages 1255-1265Publisher
INST ENGINEERING TECHNOLOGY-IET
DOI: 10.1049/iet-cta.2019.0085
Keywords
stochastic systems; delays; filtering theory; discrete time systems; linear matrix inequalities; asymptotic stability; carrier sense multiple access; randomly occurring sensor saturations; persistent CSMA protocol; discrete networked multirate multisensor systems; persistent carrier sense multiple access protocol; random occurrence; multirate system; single-rate; H infinity filter; filtering error dynamics; corresponding filter gains; filtering scheme
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Funding
- Deanship of Scientific Research (DSR), King Abdulaziz University, Jeddah [DF-325-135-1441]
- National Natural Science Foundation of China [61922024, 61873148, 61933007, 61873059]
- Program for Professor of Special Appointment (Eastern Scholar) at Shanghai Institutions of Higher Learning of China
- Natural Science Foundation of Shanghai of China [18ZR1401500]
- Fundamental Research Funds for the Central Universities [CUSF-DH-D-2018091]
- Graduate Student Innovation Fund of Donghua University of China [CUSF-DH-D-2018091]
- Royal Society of the UK
- Alexander von Humboldt Foundation of Germany
- DSR
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In this study, the H-infinity filtering problem is studied for a class of discrete networked multi-rate multi-sensor systems with randomly occurring sensor saturations under thep-persistent carrier sense multiple access (CSMA) protocol. A set of mutually independent Bernoulli distributed white sequences is introduced to characterise the random occurrence of the sensor saturations. Thep-persistent CSMA 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. The main purpose of the addressed problem is to design an H-infinity filter such that the filtering error dynamics is exponentially mean-square stable and the H-infinity performance requirement is satisfied simultaneously. Sufficient conditions are established on the existence of the desired H-infinity filters and the corresponding filter gains are then characterised by resorting to the feasibility of certain matrix inequalities. Finally, a numerical example is given to illustrate the effectiveness of the proposed filtering scheme.
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