Open AccessOn dissipativity‐based filtering for discrete‐time switched singular systems with sensor failures: a persistent dwell‐time scheme
Author(s) -
Xing Mengping,
Xia Jianwei,
Huang Xia,
Shen Hao
Publication year - 2019
Publication title -
iet control theory and applications
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 1.059
H-Index - 108
eISSN - 1751-8652
pISSN - 1751-8644
DOI - 10.1049/iet-cta.2018.6376
Subject(s) - dwell time , control theory (sociology) , dissipative system , discrete time and continuous time , filter (signal processing) , mathematics , decoupling (probability) , linear matrix inequality , filtering problem , transformation (genetics) , matrix (chemical analysis) , convex combination , regular polygon , filter design , computer science , convex optimization , mathematical optimization , engineering , control engineering , medicine , computer vision , artificial intelligence , control (management) , materials science , chemistry , composite material , biochemistry , geometry , quantum mechanics , clinical psychology , statistics , physics , gene
The work is interested in the extended dissipative filtering issue for switched singular discrete‐time systems with sensor failures. The persistent dwell‐time switching regularity is utilised to describe the successive occurrence of slow switching and fast switching in a switched singular system. A set of variables, which take values in a fixed interval, are utilised for the quantitative analysis of the sensor failures. The main objective is centred on designing a reliable mode‐dependent filter which can ensure that the resulting filtering error system is exponentially admissible and simultaneously satisfies the extended dissipative property in the presence of sensor failures. By adopting suitable decoupling methods and introducing reasonable matrix transformation techniques, some relaxed sufficient conditions are derived. The filter gains can be obtained by solving a convex optimisation problem in terms of linear matrix inequalities. Finally, an illustrative example is presented to verify the applicability of the designed filter.