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Some improvements on “Homogenous polynomial H filtering for uncertain discrete-time systems: A descriptor approach”

Journal Article


Abstract


  • In this paper, the H∞ filtering problem for linear systems with polytopic uncertainties is reinvestigated. The continuous-time case and the discrete-time case are both considered. In contrast to the existing approaches presented in most literature, this paper transfers the concerned regular system model into a descriptor representation such that the descriptor formulations in the case of H∞ filtering design can be employed. The purpose of this paper is to design a filter such that the filtering error system is asymptotically stable with a prescribed H∞ performance level. By introducing a new structure conducted by a series of slack matrix variables, meanwhile, sufficient conditions for H∞ filter design are obtained in a less conservative linear matrix inequality manner. Numerical examples are presented to illustrate effectiveness of the proposed approach.

Publication Date


  • 2018

Citation


  • Jiang, X., Xia, G., & Feng, Z. (2018). Some improvements on “Homogenous polynomial H filtering for uncertain discrete-time systems: A descriptor approach”. International Journal of Adaptive Control and Signal Processing, 32(12), 1715-1730. doi:10.1002/acs.2938

Scopus Eid


  • 2-s2.0-85055036535

Web Of Science Accession Number


Start Page


  • 1715

End Page


  • 1730

Volume


  • 32

Issue


  • 12

Abstract


  • In this paper, the H∞ filtering problem for linear systems with polytopic uncertainties is reinvestigated. The continuous-time case and the discrete-time case are both considered. In contrast to the existing approaches presented in most literature, this paper transfers the concerned regular system model into a descriptor representation such that the descriptor formulations in the case of H∞ filtering design can be employed. The purpose of this paper is to design a filter such that the filtering error system is asymptotically stable with a prescribed H∞ performance level. By introducing a new structure conducted by a series of slack matrix variables, meanwhile, sufficient conditions for H∞ filter design are obtained in a less conservative linear matrix inequality manner. Numerical examples are presented to illustrate effectiveness of the proposed approach.

Publication Date


  • 2018

Citation


  • Jiang, X., Xia, G., & Feng, Z. (2018). Some improvements on “Homogenous polynomial H filtering for uncertain discrete-time systems: A descriptor approach”. International Journal of Adaptive Control and Signal Processing, 32(12), 1715-1730. doi:10.1002/acs.2938

Scopus Eid


  • 2-s2.0-85055036535

Web Of Science Accession Number


Start Page


  • 1715

End Page


  • 1730

Volume


  • 32

Issue


  • 12