A model reference adaptive system approach for nonlinear online parameter identification. (16th April 2021)

• Record Type: Journal Article
• Authors: Kaltenbacher, Barbara; Ngoc Nguyen, Tram Thi
• Is Part Of: Inverse problems. Volume 37:Number 5(2021)
• Publication Date: 2021-04-16
• Subjects: online method -- online estimation -- reference adaptive system -- parameter identification -- partial differential equations; Inverse problems (Differential equations) -- Periodicals; 515.357
• DOI: 10.1088/1361-6420/abf164
• Languages: English
• ISSNs: 0266-5611

Abstract

Abstract: Dynamical systems, for instance in model predictive control, often contain unknown parameters, which must be determined during system operation. Online, or on-the-fly, parameter identification methods are therefore necessary. The challenge of online methods is that one must continuously estimate parameters as experimental data becomes available. The existing techniques in the context of time-dependent partial differential equations exclude the case where the system depends nonlinearly on the parameters. Based on a model reference adaptive system approach, we present an online parameter identification method for nonlinear infinite-dimensional evolutionary systems.