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Dissipative filter design for discrete-time interval type-2 fuzzy singular systems with mixed delays

Journal Article


Abstract


  • In this article, the problem of delay-dependent dissipative filter design is studied for discrete-time interval type-2 (IT-2) fuzzy singular systems with both external disturbance and mixed delays. Two kinds of delays are considered, namely time-varying discrete delays and infinite distributed delays. First, considering the uncertainties in the membership functions, the nonlinear singular system and the filter are modeled by the IT-2 fuzzy systems. Then, based on new matrix inequalities dealing with the mixed delays, a new delay-dependent criterion is proposed to ensure the IT-2 fuzzy filtering error system is to be admissible with strictly dissipative performance. The filter parameters are characterised by the solution of linear matrix inequalities (LMIs). The feasibility of these results are verified by a numerical example.

Publication Date


  • 2020

Citation


  • Li, J., Zhang, H., Feng, Z., Zhao, Y., & Shi, J. (2020). Dissipative filter design for discrete-time interval type-2 fuzzy singular systems with mixed delays. Optimal Control Applications and Methods, 41(4), 1016-1033. doi:10.1002/oca.2583

Scopus Eid


  • 2-s2.0-85079704323

Web Of Science Accession Number


Start Page


  • 1016

End Page


  • 1033

Volume


  • 41

Issue


  • 4

Abstract


  • In this article, the problem of delay-dependent dissipative filter design is studied for discrete-time interval type-2 (IT-2) fuzzy singular systems with both external disturbance and mixed delays. Two kinds of delays are considered, namely time-varying discrete delays and infinite distributed delays. First, considering the uncertainties in the membership functions, the nonlinear singular system and the filter are modeled by the IT-2 fuzzy systems. Then, based on new matrix inequalities dealing with the mixed delays, a new delay-dependent criterion is proposed to ensure the IT-2 fuzzy filtering error system is to be admissible with strictly dissipative performance. The filter parameters are characterised by the solution of linear matrix inequalities (LMIs). The feasibility of these results are verified by a numerical example.

Publication Date


  • 2020

Citation


  • Li, J., Zhang, H., Feng, Z., Zhao, Y., & Shi, J. (2020). Dissipative filter design for discrete-time interval type-2 fuzzy singular systems with mixed delays. Optimal Control Applications and Methods, 41(4), 1016-1033. doi:10.1002/oca.2583

Scopus Eid


  • 2-s2.0-85079704323

Web Of Science Accession Number


Start Page


  • 1016

End Page


  • 1033

Volume


  • 41

Issue


  • 4