Single 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
2 LVR - Laboratoire de Vision et Robotique
3 ALIEN - Algebra for Digital Identification and Estimation

This paper gives the sufficient and necessary 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.

Mots clés: Observability; normal forms

Domaines: Automatique

Gang Zheng, Driss Boutat, Jean-Pierre Barbot. Single Output Dependent Observability Normal Form. SIAM Journal on Control and Optimization, 2007, 46 (6), pp.2242-2255. ⟨10.1137/050627137⟩. ⟨inria-00179184⟩