Dissipative Proportional Integral Observer for a Class of Uncertain Nonlinear Systems

This paper proposes a dissipative proportional integral state observer for a class of uncertain nonlinear systems with sector-bounded nonlinearity. The L 2 gain between disturbances and weighted estimation errors is adopted as the supply rate in the dissipativity framework, which guarantees the boun...

Full description

Saved in:
Bibliographic Details
Published in2007 American Control Conference pp. 269 - 274
Main Authors Jongchul Jung, Kunsoo Huh, Taehyun Shim
Format Conference Proceeding
LanguageEnglish
Published IEEE 01.07.2007
Subjects
Asymptotic stability
Estimation error
Feedback loop
Linear matrix inequalities
Linear systems
Nonlinear systems
Observers
Robust stability
State estimation
Steady-state
Online AccessGet full text
ISBN9781424409884
1424409888
ISSN0743-1619
DOI10.1109/ACC.2007.4282495

Cover

More Information
Summary:This paper proposes a dissipative proportional integral state observer for a class of uncertain nonlinear systems with sector-bounded nonlinearity. The L 2 gain between disturbances and weighted estimation errors is adopted as the supply rate in the dissipativity framework, which guarantees the boundedness of state estimation errors. This estimator also includes an integral feedback loop on the output estimation error to improve steady-state estimation performance. In order to determine the optimal observer gains, the L 2 gain minimization problem is formulated into a convex optimization problem subject to a linear matrix inequality. In addition, the concept of the exponential dissipativity is introduced to address the strict dissipativity in the observer structure.
ISBN:9781424409884
1424409888
ISSN:0743-1619
DOI:10.1109/ACC.2007.4282495