Observers for systems with nonlinearities satisfying incremental quadratic constraints

Authors:
Behçet Açıkmeşe;Martin Corless
Affiliations:
Jet Propulsion Laboratory, California Institute of Technology, 4800 Oak Grove Drive, Pasadena, CA 91109, USA;School of Aeronautics and Astronautics, Purdue University, W. Lafayette, IN 47907, USA
Venue:
Automatica (Journal of IFAC)
Year:
2011

Citing 5
Cited 1

The extended Luenberger observer for nonlinear systems

Systems & Control Letters
Output-to-state stability and detectability of nonlinear systems

Systems & Control Letters
Linear System Theory and Design

Linear System Theory and Design
Homogeneous Approximation, Recursive Observer Design, and Output Feedback

SIAM Journal on Control and Optimization
Brief paper: Dynamic scaling and observer design with application to adaptive control

Automatica (Journal of IFAC)

Observers for interconnected nonlinear and linear systems

Automatica (Journal of IFAC)

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Abstract

We consider the problem of designing observers to asymptotically estimate the state of a system whose nonlinear time-varying terms satisfy an incremental quadratic inequality that is parameterized by a set of multiplier matrices. Observer design is reduced to solving linear matrix inequalities for the observer gain matrices. The proposed observers guarantee exponential convergence of the state estimation error to zero. In addition to considering a larger class of nonlinearities than previously considered, this paper unifies earlier related results in the literature. The results are illustrated by application to several examples.