Observer design of descriptor nonlinear system with nonlinear outputs by using W 1,2 -optimality criterion

Abdelghani Hamaz, Khadidja Chaib Draa, Fazia Bedouhene, Ali Zemouche, Rajesh Rajamani

Research output: Contribution to journalArticlepeer-review

1 Scopus citations


This paper deals with nonlinear observer design for a class of nonlinear systems with nonlinear output measurements. The proposed methodology is based on the use of Linear Matrix Inequalities (LMIs) to handle a problem of W 1,2 -convergence criterion. Some new assumptions and convenient Young's formulation are used to get less conservative LMI conditions compared to the literature. Indeed, the obtained LMIs contain additional decision variables, which render the conditions more general. Furthermore, due to the presence of nonlinearities in both the process dynamics and the output measurements, the class of systems studied in this paper is more general than those available in the literature in the same LMI context. Two numerical examples are presented to show the effectiveness and superiority of the new design procedure compared to the H method.

Original languageEnglish (US)
Pages (from-to)3531-3553
Number of pages23
JournalJournal of the Franklin Institute
Issue number6
StatePublished - Apr 2019

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