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Sufficient conditions for a class of matrix-valued polynomial inequalities on closed intervals and application to [formula omitted] filtering for linear systems with time-varying delays.
- Source :
-
Automatica . Mar2021, Vol. 125, pN.PAG-N.PAG. 1p. - Publication Year :
- 2021
-
Abstract
- This paper is concerned with sufficient conditions for a class of matrix-valued polynomial inequalities on closed intervals and their application to H ∞ filtering for linear systems with time-varying delays. First, a class of higher degree matrix-valued polynomial inequalities are transformed into the first degree matrix-valued polynomial inequalities by introducing some slack matrices. As a result, a convex property is applied to derive sufficient conditions for a class of higher degree matrix-valued polynomial inequalities on closed intervals. Second, by choosing a Lyapunov–Krasovskii functional with a quadratic matrix-valued polynomial on a time-varying delay, and estimating its time-derivative as a third-degree matrix-valued polynomial on the time-varying delay, the proposed sufficient conditions are utilized to formulate a novel bounded real lemma on the existence of H ∞ filters for time-delay systems. Third, some algorithms to filter design are provided and discussed in detail. It is pointed out that, if the filter gain is derived through a generalized inverse matrix method, it may be a fake solution, which is demonstrated through a liquid monopropellant rocket motor with a pressure feeding system. [ABSTRACT FROM AUTHOR]
Details
- Language :
- English
- ISSN :
- 00051098
- Volume :
- 125
- Database :
- Academic Search Index
- Journal :
- Automatica
- Publication Type :
- Academic Journal
- Accession number :
- 148730758
- Full Text :
- https://doi.org/10.1016/j.automatica.2020.109390