TY - GEN

T1 - Observer design for lipschitz nonlinear systems using Riccati equations

AU - Phanomchoeng, G.

AU - Rajamani, R.

PY - 2010/10/15

Y1 - 2010/10/15

N2 - 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.

AB - 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.

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M3 - Conference contribution

AN - SCOPUS:77957801956

SN - 9781424474264

T3 - Proceedings of the 2010 American Control Conference, ACC 2010

SP - 6060

EP - 6065

BT - Proceedings of the 2010 American Control Conference, ACC 2010

T2 - 2010 American Control Conference, ACC 2010

Y2 - 30 June 2010 through 2 July 2010

ER -