A parameter estimation approach to state observation of nonlinear systems

Roméo Ortega (1) , Alexey Bobtsov (2) , Anton Pyrkin (2) , Stanislav Aranovskiy (3)

1 L2S - Laboratoire des signaux et systèmes
2 Saint Petersburg State University of Information Technologies Mechanics and Optics
3 ITMO University [Russia]

A novel approach to the partial state estimation problem is proposed. Instrumental to this approach is the reformulation of the state estimation problem as a problem of estimation of a constant parameter related to the systems initial conditions. The admissible class of the systems is defined via two assumptions related to solvability of a partial differential equation and our ability to estimate the unknown parameters. The proposed approach is shown to be applicable to position estimation of a class of electromechanical systems.

Keywords: Parameter estimation; Adaptive observer; Nonlinear systems

Domains: Computer Science [cs]; Automatic Control Engineering; Engineering Sciences [physics]; Automatic

Roméo Ortega, Alexey Bobtsov, Anton Pyrkin, Stanislav Aranovskiy. A parameter estimation approach to state observation of nonlinear systems. 54th IEEE Conference on Decision and Control (CDC), Dec 2015, Osaka, Japan. ⟨10.1109/cdc.2015.7403217⟩. ⟨hal-01262420⟩