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Title: Functional observers design for nonlinear discrete-time systems with interval time-varying delays (English)
Author: Dong, Yali
Author: Chen, Laijun
Author: Mei, Shengwei
Language: English
Journal: Kybernetika
ISSN: 0023-5954 (print)
ISSN: 1805-949X (online)
Volume: 55
Issue: 2
Year: 2019
Pages: 367-384
Summary lang: English
Category: math
Summary: This paper is concerned with the functional observer design for a class of Multi-Input Multi-Output discrete-time systems with mixed time-varying delays. Firstly, using the Lyapunov-Krasovskii functional approach, we design the parameters of the delay-dependent observer. We establish the sufficient conditions to guarantee the exponential stability of functional observer error system. In addition, for design purposes, delay-dependent sufficient conditions are proposed in terms of matrix inequalities to guarantee that the functional observer error system is exponentially stable. Secondly, we presented the sufficient conditions of the existence of internal-delay independent functional observer to ensure the estimated error system is asymptotically stable. Furthermore, some sufficient conditions are obtained to guarantee that the internal-delay independent functional observer error system is exponentially stable. Finally, simulation examples are provided to demonstrate the effectiveness of the proposed method. (English)
Keyword: functional observer
Keyword: discrete-time systems
Keyword: exponential stability
Keyword: interval time-varying delays
Keyword: Lyapunov–Krasovskii functional
MSC: 93C10
MSC: 93C55
MSC: 93D05
MSC: 93D09
idZBL: Zbl 07144943
idMR: MR4014592
DOI: 10.14736/kyb-2019-2-0367
Date available: 2019-09-30T15:08:48Z
Last updated: 2020-04-02
Stable URL:
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