Observer design for rectangular descriptor systems with incremental quadratic constraints and nonlinear outputs—Application to secure communications

Lazaros Moysis; Mahendra Kumar Gupta; Vikas Mishra; Muhammad Marwan; Christos Volos

doi:10.1002/rnc.5233

Observer design for rectangular descriptor systems with incremental quadratic constraints and nonlinear outputs—Application to secure communications

Lazaros Moysis, Mahendra Kumar Gupta, Vikas Mishra, Muhammad Marwan, Christos Volos

Research output: Contribution to journal › Article › peer-review

14 Scopus citations

Abstract

This work considers the problem of observer design for rectangular descriptor systems with nonlinearities satisfying incremental quadratic constraints. The observer design is feasible under the satisfaction of a linear matrix inequality and some algebraic relations in the system matrices. The special case of nonlinearities in the output is also considered. Finally, the developed approach is applied to the problem of secure communications and illustrated through numerical examples.

Original language	English
Pages (from-to)	8139-8158
Number of pages	20
Journal	International Journal of Robust and Nonlinear Control
Volume	30
Issue number	18
DOIs	https://doi.org/10.1002/rnc.5233
State	Published - 1 Dec 2020
Externally published	Yes

Keywords

chaos
descriptor systems
incremental quadratic constraints
nonlinear systems
observer design
secure communications

ASJC Scopus subject areas

Control and Systems Engineering
Chemical Engineering (all)
Biomedical Engineering
Aerospace Engineering
Mechanical Engineering
Industrial and Manufacturing Engineering
Electrical and Electronic Engineering

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10.1002/rnc.5233

Cite this

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title = "Observer design for rectangular descriptor systems with incremental quadratic constraints and nonlinear outputs—Application to secure communications",

abstract = "This work considers the problem of observer design for rectangular descriptor systems with nonlinearities satisfying incremental quadratic constraints. The observer design is feasible under the satisfaction of a linear matrix inequality and some algebraic relations in the system matrices. The special case of nonlinearities in the output is also considered. Finally, the developed approach is applied to the problem of secure communications and illustrated through numerical examples.",

keywords = "chaos, descriptor systems, incremental quadratic constraints, nonlinear systems, observer design, secure communications",

author = "Lazaros Moysis and Gupta, {Mahendra Kumar} and Vikas Mishra and Muhammad Marwan and Christos Volos",

note = "Funding Information: This research is co‐financed by Greece and the European Union (European Social Fund‐ ESF) through the Operational Programme ”Human Resources Development, Education and Lifelong Learning” in the context of the project {"}Reinforcement of Postdoctoral Researchers ‐ 2nd Cycle{"} (MIS‐5033021), implemented by the State Scholarships Foundation (IKY). This work was supported by SERB DST, New Delhi Grant No. SRG/2019/000451. The authors would like to thank the anonymous reviewers for their valuable suggestions, which have greatly improved the final version of the manuscript. Publisher Copyright: {\textcopyright} 2020 John Wiley & Sons Ltd",

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doi = "10.1002/rnc.5233",

language = "English",

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Observer design for rectangular descriptor systems with incremental quadratic constraints and nonlinear outputs—Application to secure communications. / Moysis, Lazaros; Gupta, Mahendra Kumar; Mishra, Vikas et al.
In: International Journal of Robust and Nonlinear Control, Vol. 30, No. 18, 01.12.2020, p. 8139-8158.

Research output: Contribution to journal › Article › peer-review

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T1 - Observer design for rectangular descriptor systems with incremental quadratic constraints and nonlinear outputs—Application to secure communications

AU - Moysis, Lazaros

AU - Gupta, Mahendra Kumar

AU - Mishra, Vikas

AU - Marwan, Muhammad

AU - Volos, Christos

N1 - Funding Information: This research is co‐financed by Greece and the European Union (European Social Fund‐ ESF) through the Operational Programme ”Human Resources Development, Education and Lifelong Learning” in the context of the project "Reinforcement of Postdoctoral Researchers ‐ 2nd Cycle" (MIS‐5033021), implemented by the State Scholarships Foundation (IKY). This work was supported by SERB DST, New Delhi Grant No. SRG/2019/000451. The authors would like to thank the anonymous reviewers for their valuable suggestions, which have greatly improved the final version of the manuscript. Publisher Copyright: © 2020 John Wiley & Sons Ltd

PY - 2020/12/1

Y1 - 2020/12/1

N2 - This work considers the problem of observer design for rectangular descriptor systems with nonlinearities satisfying incremental quadratic constraints. The observer design is feasible under the satisfaction of a linear matrix inequality and some algebraic relations in the system matrices. The special case of nonlinearities in the output is also considered. Finally, the developed approach is applied to the problem of secure communications and illustrated through numerical examples.

AB - This work considers the problem of observer design for rectangular descriptor systems with nonlinearities satisfying incremental quadratic constraints. The observer design is feasible under the satisfaction of a linear matrix inequality and some algebraic relations in the system matrices. The special case of nonlinearities in the output is also considered. Finally, the developed approach is applied to the problem of secure communications and illustrated through numerical examples.

KW - chaos

KW - descriptor systems

KW - incremental quadratic constraints

KW - nonlinear systems

KW - observer design

KW - secure communications

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JF - International Journal of Robust and Nonlinear Control

IS - 18

ER -

Observer design for rectangular descriptor systems with incremental quadratic constraints and nonlinear outputs—Application to secure communications

Abstract

Keywords

ASJC Scopus subject areas

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