Identification of parsimonious continuous time LTI models with applications

Varanasi, Santhosh Kumar and Jampana, Phanindra Varma (2018) Identification of parsimonious continuous time LTI models with applications. Journal of Process Control, 69. pp. 128-137. ISSN 0959-1524

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Abstract

Identifying lower order models is desirable both for control design and prediction purposes. In a few cases, a lower order model can be further reduced so that it contains the fewest number of parameters. In this paper, a sparsity seeking optimization method is proposed to identify such parsimonious continuous time (CT) linear time invariant (LTI) models. Theoretical analysis of convergence of estimates is presented. Numerical results on a variety of systems show that the algorithm accurately estimates the model parameters. Further, Monte Carlo simulations are used to verify the statistical convergence properties of the parameter estimates. Identification of a reduced order CT LTI model of tanks in series system demonstrates the practical applicability of the proposed method.

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