Hyperbolic observer design for a class of nonlinear systems

Majid Parvizian and Khosro Khandani

Chaos, Solitons & Fractals, 2021, vol. 145, issue C

Abstract: In this paper the problem of hyperbolic observer design for a class of nonlinear systems is addressed for the first time. The asymptotic stability of the estimation error dynamics is proven by employing the Lyapunov stability analysis method and using Taylor series for hyperbolic functions, and then the sufficient conditions are derived in the form of Linear Matrix Inequalities (LMIs). Also a hyperbolic non-fragile adaptive observer is introduced for a class of uncertain nonlinear systems with time delay. It is shown that the proposed observer performs effectively in dealing with large estimation errors. Three illustrative examples of Chen, Rössler and a financial system are provided which corroborate the effectiveness of the propose method.

Keywords: Hyperbolic observer; Non-fragile adaptive observer; LMIs (search for similar items in EconPapers)
Date: 2021
References: View references in EconPapers View complete reference list from CitEc
Citations:

Downloads: (external link)
http://www.sciencedirect.com/science/article/pii/S0960077921001375
Full text for ScienceDirect subscribers only

Related works:
This item may be available elsewhere in EconPapers: Search for items with the same title.

Export reference: BibTeX RIS (EndNote, ProCite, RefMan) HTML/Text

Persistent link: https://EconPapers.repec.org/RePEc:eee:chsofr:v:145:y:2021:i:c:s0960077921001375

DOI: 10.1016/j.chaos.2021.110785

Access Statistics for this article

Chaos, Solitons & Fractals is currently edited by Stefano Boccaletti and Stelios Bekiros

More articles in Chaos, Solitons & Fractals from Elsevier
Bibliographic data for series maintained by Thayer, Thomas R. ().