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- Title
Non-linear observer design for a class of singular time-delay systems with Lipschitz non-linearities.
- Authors
MINH CUONG NGUYEN; HIEU TRINH; PHAN THANH NAM
- Abstract
In this paper, we consider a class of time-delay singular systems with Lipschitz non-linearities. A method of designing full-order observers for the systems is presented which can handle non-linearities with large- Lipschitz constants. The Lipschitz conditions are reformulated into linear parameter varying systems, then the Lyapunov-Krasovskii approach and the convexity principle are applied to study stability of the new systems. Furthermore, the observers design does not require the assumption of regularity for singular systems. In case the systems are non-singular, a reduced-order observers design is proposed instead. In both cases, synthesis conditions for the observers designs are derived in terms of linear matrix inequalities which can be solved efficiently by numerical methods. The efficiency of the obtained results is illustrated by two numerical examples.
- Subjects
LYAPUNOV functions; DIFFERENTIAL equations; LINEAR matrix inequalities; MATHEMATICAL inequalities; LIPSCHITZ spaces
- Publication
IMA Journal of Mathematical Control & Information, 2017, Vol 34, Issue 3, p919
- ISSN
0265-0754
- Publication type
Article
- DOI
10.1093/imamci/dnw006