Observer design for lipschitz nonlinear systems using Riccati equations

G. Phanomchoeng, R. Rajamani

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

61 Citations (Scopus)

Abstract

This paper presents a new observer design technique for Lipschitz nonlinear systems. Necessary and sufficient conditions for existence of a stable observer gain are developed using a S-Procedure Lemma. The developed condition is expressed in terms of the existence of a solution to an Algebraic Riccati Equation in one variable. Thus, the need to solve Linear Matrix Inequalities in multiple variables is eliminated. The advantage of the developed approach is that it is significantly less conservative than other previously published results for Lipschitz systems. It yields a stable observer for larger Lipschitz constants than other techniques previously published in literature.

Original languageEnglish (US)
Title of host publicationProceedings of the 2010 American Control Conference, ACC 2010
Pages6060-6065
Number of pages6
StatePublished - Oct 15 2010
Event2010 American Control Conference, ACC 2010 - Baltimore, MD, United States
Duration: Jun 30 2010Jul 2 2010

Publication series

NameProceedings of the 2010 American Control Conference, ACC 2010

Other

Other2010 American Control Conference, ACC 2010
CountryUnited States
CityBaltimore, MD
Period6/30/107/2/10

Fingerprint

Riccati equations
Linear matrix inequalities
Nonlinear systems

Cite this

Phanomchoeng, G., & Rajamani, R. (2010). Observer design for lipschitz nonlinear systems using Riccati equations. In Proceedings of the 2010 American Control Conference, ACC 2010 (pp. 6060-6065). [5531294] (Proceedings of the 2010 American Control Conference, ACC 2010).

Observer design for lipschitz nonlinear systems using Riccati equations. / Phanomchoeng, G.; Rajamani, R.

Proceedings of the 2010 American Control Conference, ACC 2010. 2010. p. 6060-6065 5531294 (Proceedings of the 2010 American Control Conference, ACC 2010).

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

Phanomchoeng, G & Rajamani, R 2010, Observer design for lipschitz nonlinear systems using Riccati equations. in Proceedings of the 2010 American Control Conference, ACC 2010., 5531294, Proceedings of the 2010 American Control Conference, ACC 2010, pp. 6060-6065, 2010 American Control Conference, ACC 2010, Baltimore, MD, United States, 6/30/10.
Phanomchoeng G, Rajamani R. Observer design for lipschitz nonlinear systems using Riccati equations. In Proceedings of the 2010 American Control Conference, ACC 2010. 2010. p. 6060-6065. 5531294. (Proceedings of the 2010 American Control Conference, ACC 2010).
Phanomchoeng, G. ; Rajamani, R. / Observer design for lipschitz nonlinear systems using Riccati equations. Proceedings of the 2010 American Control Conference, ACC 2010. 2010. pp. 6060-6065 (Proceedings of the 2010 American Control Conference, ACC 2010).
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