Geometrical Conditions for Output Depending Observability Normal Form

Gang Zheng 1 Driss Boutat 2 Jean-Pierre Barbot 3, 4
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 : We give geometrical conditions, which guarantee the existence of a diffeomorphism in order to transform a nonlinear system without inputs into a canonical normal form depending on its output. Moreover we extend our results to a class of systems with inputs. We end this paper by some examples and its simulations to highlight the proposed algorithm.
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Gang Zheng, Driss Boutat, Jean-Pierre Barbot. Geometrical Conditions for Output Depending Observability Normal Form. CDC 2008 - 47th IEEE Conference on Decision and Control, Dec 2008, Cancun, Mexico. pp.5075-5079, ⟨10.1109/CDC.2008.4739505⟩. ⟨inria-00319964⟩

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