Multi-Output Dependent Observability Normal Form

Gang Zheng 1 Driss Boutat 2 Jean-Pierre Barbot 3
1 BIPOP - Modelling, Simulation, Control and Optimization of Non-Smooth Dynamical Systems
Inria Grenoble - Rhône-Alpes, LJK - Laboratoire Jean Kuntzmann, INPG - Institut National Polytechnique de Grenoble
3 ALIEN - Algebra for Digital Identification and Estimation
Inria Lille - Nord Europe, Inria Saclay - Ile de France, Ecole Centrale de Lille, X - École polytechnique, CNRS - Centre National de la Recherche Scientifique : UMR8146
Abstract : This article gives the sufficient condition which guarantees the existence of a reference frame in which a multi-output nonlinear system is linearizable with a linear part depending on its outputs. Our method is based on the design of a reference frame associated with nonlinear observable systems. Moreover, we give the generalization of the result obtained in [5] and [19]. And some examples are given in order to highlight our thinking.
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Gang Zheng, Driss Boutat, Jean-Pierre Barbot. Multi-Output Dependent Observability Normal Form. Nonlinear Analysis: Theory, Methods and Applications, Elsevier, 2009, 70 (1), pp.404-418. ⟨10.1016/j.na.2007.12.012⟩. ⟨inria-00192960v2⟩

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