Parameter estimation and compensation in systems with nonlinearly parameterized perturbations

We consider a class of systems influenced by perturbations that are nonlinearly parameterized by unknown constant parameters, and develop a method for estimating the unknown parameters within an arbitrarily large parameter space. The method applies to systems where the states are available for measurement, and perturbations with the property that an exponentially stable estimate of the unknown parameters can be obtained if the whole perturbation is known. The main contribution is to introduce a conceptually simple, modular design that gives freedom to the designer in accomplishing the main task, which is to construct an update law to asymptotically invert a nonlinear equation. Compensation for the perturbations in the system equations is considered for a class of systems with uniformly globally bounded solutions and for which the origin is uniformly globally asymptotically stable when no perturbations are present. We also consider the case when the parameters can only be estimated whe...

• Type: Journal
• Year: 2010
• Where: AUTOMATICA
• Authors: Håvard Fjær Grip, Tor Arne Johansen, Lars Imsland, Glenn-Ole Kaasa
• Keywords: AUTOMATICA 2010, Parameters, Unknown Constant Parameters, Unknown Parameters