Multi-Objective Nonlinear Observer Design using BMIs

Yan Wang, Rajesh Rajamani, Ali Zemouche

Research output: Chapter in Book/Report/Conference proceedingConference contribution

1 Scopus citations


This paper applies a nonconvex bilinear matrix inequality (BMI) based approach to design a nonlinear observer that satisfies multiple performance criteria simultaneously. First, the feasibility analysis of the BMI constraint is transformed into an eigenvalue problem and the convex-concave based sequential LMI optimization method is applied to search for a feasible solution. Then, the design of the nonlinear observer is formulated as a BMI feasibility problem where the estimation error dynamics is transformed into a Lure system with a sector condition constructed from the element-wise bounds on the Jacobian matrix of the nonlinearities. Finally, a numerical example is presented to demonstrate the applicability of the proposed algorithm.

Original languageEnglish (US)
Title of host publication2018 Annual American Control Conference, ACC 2018
PublisherInstitute of Electrical and Electronics Engineers Inc.
Number of pages6
ISBN (Print)9781538654286
StatePublished - Aug 9 2018
Event2018 Annual American Control Conference, ACC 2018 - Milwauke, United States
Duration: Jun 27 2018Jun 29 2018

Publication series

NameProceedings of the American Control Conference
ISSN (Print)0743-1619


Other2018 Annual American Control Conference, ACC 2018
Country/TerritoryUnited States

Bibliographical note

Publisher Copyright:
© 2018 AACC.


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