A Non-Parametric LPV Approach to the Indentification of Linear Periodic Systems

• Type: Article in International Conference Proceedings Book
• Date: 2021

Authors

P. Lopes dos Santos (Author) FEUP; Perdicoulis, TPA (Author) Other

Conference proceedings International

Title: IFAC PAPERSONLINE

Pages: 13-19

16th IFAC Symposium on Advanced Control of Chemical Processes (ADCHEM)

ELECTR NETWORK, JUN 13-16, 2021

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Authenticus ID: P-00V-F40

DOI: 10.1016/j.ifacol.2021.08.574

Abstract (EN): A non-parametric identification algorithm is proposed to identify Linear Time Periodic (LTP) systems. The period is unknown and can be any real positive number. The system is modelled as an ARX Linear Parameter Varying (LPV) system with a virtual scheduling signal consisting of two orthogonal sinusoids (a sine and a cosine) with a period equal to the system period. Hence, the system parameters are polynomial functions of the scheduling vector. As these polynomials may have infinite degree, a non-parametric model is adopted to describe the LPV system. This model is identified by a Gaussian Process Regression (GPR) algorithm where the system period is a hyperparameter. The performance of the proposed identification algorithm is illustrated through the identification of a simulated LTP continuous system described by a state-space model. The ARX-LTP discrete-time model estimated in the noiseless case was taken as the true model. Copyright (C) 2021 The Authors.

Language: English

Type (Professor's evaluation): Scientific

No. of pages: 7