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Robust reliable dissipative filtering for discrete delay singular systems

Journal Article


Abstract


  • This paper is concerned with the problem of robust reliable dissipative filtering for uncertain discrete-time singular system with interval time-varying delay and sensor failures. The uncertainty and the sensor failures considered are polytopic uncertainty and varying in a given interval, respectively. The purpose is to design a filter such that the filtering error singular system is regular, causal, asymptotically stable and strictly (Q,S,R)-dissipative. By utilizing reciprocally convex approach, firstly, sufficient reliable dissipativity analysis condition is established in terms of linear matrix inequalities (LMIs) for singular systems with time-varying delay and sensor failures. Based on this criterion, the result is extended to uncertain singular systems with time-varying delay and sensor failures. Moreover, the reliable dissipative filter is designed in terms of linear matrix inequalities (LMIs) for uncertain singular systems with time-varying delay and sensor failures. Finally, the effectiveness of the filter design method in this paper is illustrated by numerical examples. © 2012 Elsevier B.V.

Publication Date


  • 2012

Citation


  • Feng, Z., & Lam, J. (2012). Robust reliable dissipative filtering for discrete delay singular systems. Signal Processing, 92(12), 3010-3025. doi:10.1016/j.sigpro.2012.06.003

Scopus Eid


  • 2-s2.0-84864281342

Web Of Science Accession Number


Start Page


  • 3010

End Page


  • 3025

Volume


  • 92

Issue


  • 12

Abstract


  • This paper is concerned with the problem of robust reliable dissipative filtering for uncertain discrete-time singular system with interval time-varying delay and sensor failures. The uncertainty and the sensor failures considered are polytopic uncertainty and varying in a given interval, respectively. The purpose is to design a filter such that the filtering error singular system is regular, causal, asymptotically stable and strictly (Q,S,R)-dissipative. By utilizing reciprocally convex approach, firstly, sufficient reliable dissipativity analysis condition is established in terms of linear matrix inequalities (LMIs) for singular systems with time-varying delay and sensor failures. Based on this criterion, the result is extended to uncertain singular systems with time-varying delay and sensor failures. Moreover, the reliable dissipative filter is designed in terms of linear matrix inequalities (LMIs) for uncertain singular systems with time-varying delay and sensor failures. Finally, the effectiveness of the filter design method in this paper is illustrated by numerical examples. © 2012 Elsevier B.V.

Publication Date


  • 2012

Citation


  • Feng, Z., & Lam, J. (2012). Robust reliable dissipative filtering for discrete delay singular systems. Signal Processing, 92(12), 3010-3025. doi:10.1016/j.sigpro.2012.06.003

Scopus Eid


  • 2-s2.0-84864281342

Web Of Science Accession Number


Start Page


  • 3010

End Page


  • 3025

Volume


  • 92

Issue


  • 12