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Approximate Observer Error Linearization for Multi-Output Systems

Author:Röbenack Klaus, Technische Universität Dresden, Germany
Topic:2.3 Non-Linear Control Systems
Session:Nonlinear Observers and Output Feedback
Keywords: Observers, differential-geometric methods, multi-output systems

Abstract

In this paper we discuss a generalization of the extended Luenbergerobserver for multi-output systems. Our approach can be interpreted as approximate error linearization. While the extended Luenberger observer results from a first order approximation of exact error dynamics, this paper provides an explicit formula for a second order approximation.The design procedure is formulated in terms of Lie derivatives andLie brackets.