### 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 language | English (US) |
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Title of host publication | Proceedings of the 2010 American Control Conference, ACC 2010 |

Pages | 6060-6065 |

Number of pages | 6 |

State | Published - Oct 15 2010 |

Event | 2010 American Control Conference, ACC 2010 - Baltimore, MD, United States Duration: Jun 30 2010 → Jul 2 2010 |

### Publication series

Name | Proceedings of the 2010 American Control Conference, ACC 2010 |
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### Other

Other | 2010 American Control Conference, ACC 2010 |
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Country | United States |

City | Baltimore, MD |

Period | 6/30/10 → 7/2/10 |

### Fingerprint

### Cite this

*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.

Research output: Chapter in Book/Report/Conference proceeding › Conference contribution

*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.

}

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.

UR - http://www.scopus.com/inward/record.url?scp=77957801956&partnerID=8YFLogxK

UR - http://www.scopus.com/inward/citedby.url?scp=77957801956&partnerID=8YFLogxK

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

ER -