Homogenous polynomial H∞ filtering for uncertain discrete‐time systems: A descriptor approach

Summary This paper focuses on the robust full‐order H∞ filter design for linear discrete‐time systems with polytopic uncertainties. Less conservative robust H∞ filter design procedures are given in terms of linear matrix inequality constraints. By using a descriptor approach, 2 sufficient conditions...

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Bibliographic Details
Published in:International journal of adaptive control and signal processing 2018-02, Vol.32 (2), p.378-389
Main Authors: Zoulagh, T., El Haiek, B., Hmamed, A., El Hajjaji, A.
Format: Article
Language:English
Subjects:
Automatic
descriptor representation
Discrete time systems
Engineering Sciences
Error analysis
Filter design (mathematics)
Filtration
homogenous polynomial approach
H∞filtering
Liapunov functions
Linear matrix inequalities
linear matrix inequalities (LMIs)
Mathematical analysis
Matrix methods
Polynomials
polytopic uncertainty
Stability analysis
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Summary:Summary This paper focuses on the robust full‐order H∞ filter design for linear discrete‐time systems with polytopic uncertainties. Less conservative robust H∞ filter design procedures are given in terms of linear matrix inequality constraints. By using a descriptor approach, 2 sufficient conditions for the H∞ filter analysis and design are proposed via linear matrix inequalities. The homogenous polynomial parameter‐dependent Lyapunov functions are used for the asymptotic stability analysis of the system error. Finally, to demonstrate the efficiency of the proposed approach, simulation results with comparative studies are used.
ISSN:0890-6327
1099-1115
DOI:10.1002/acs.2848