Linear parameter-varying (LPV) models have been introduced to describe nonlinear (NL) and time-varying (TV) systems and make use of powerful results of linear control theory. LPV systems extend the notion of linear time invariant (LTI) systems, with the difference that the input/output relations change depending on a scheduling parameter. The goal is to efficiently convert a nonlinear model to an LPV representation with minimal complexity and conservativeness and preserving the system properties. A novel approach for modeling nonlinear systems in terms of a quasi-linear representation is based on the Koopman operator theory. Typically, an infinite-dimensional operator is obtained that requires an approximation for practical applications. Based on the resulting model, an LPV description can be obtained using a velocity-based linearization, which is valid at every operating point.
|Number of pages||1|
|Publication status||Published - Mar 2020|
|Event||39th Benelux Meeting on Systems and Control - Elspeet, Netherlands|
Duration: 10 Mar 2020 → 12 Mar 2020
|Conference||39th Benelux Meeting on Systems and Control|
|Period||10/03/20 → 12/03/20|