Estimation of solutions of observable nonlinear systems with disturbances

Frederic Mazenc (1, 2) , Emilia Fridman (3) , Walid Djema (2)

1 DISCO - Dynamical Interconnected Systems in COmplex Environments
2 L2S - Laboratoire des signaux et systèmes
3 Department of Electrical Engineering

A family of continuous-time observable nonlinear systems with input and output is considered. A new technique of estimation of the state variables is proposed. It relies on the use of past values of the output, as done to construct some observers which converge in finite time, and on a recent technical result pertaining to the theory of the monotone systems. It applies to systems with additive disturbances and disturbances in the output. The nonlinear terms are not supposed to be globally Lipschitz, but it is requested that they depend only on the input and output variables.

Mots clés: finite time observer; robustness; state estimation; delay

Domaines: Automatique

Frederic Mazenc, Emilia Fridman, Walid Djema. Estimation of solutions of observable nonlinear systems with disturbances. Systems and Control Letters, 2015, 79 (May), pp.47-58. ⟨10.1016/j.sysconle.2015.03.004⟩. ⟨hal-01257327⟩