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Observer design for rectangular descriptor systems with incremental quadratic constraints and nonlinear outputs—Application to secure communications
Author(s) -
Moysis Lazaros,
Gupta Mahendra Kumar,
Mishra Vikas,
Marwan Muhammad,
Volos Christos
Publication year - 2020
Publication title -
international journal of robust and nonlinear control
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 1.361
H-Index - 106
eISSN - 1099-1239
pISSN - 1049-8923
DOI - 10.1002/rnc.5233
Subject(s) - observer (physics) , nonlinear system , quadratic equation , linear matrix inequality , control theory (sociology) , algebraic number , mathematics , mathematical optimization , computer science , artificial intelligence , control (management) , mathematical analysis , physics , geometry , quantum mechanics
Summary 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.