Preprint Article Version 1 Preserved in Portico This version is not peer-reviewed

On Adaptive Identification of Interconnected Systems

Version 1 : Received: 2 February 2024 / Approved: 6 February 2024 / Online: 7 February 2024 (11:50:18 CET)

How to cite: Karabutov, N. On Adaptive Identification of Interconnected Systems. Preprints 2024, 2024020399. https://doi.org/10.20944/preprints202402.0399.v1 Karabutov, N. On Adaptive Identification of Interconnected Systems. Preprints 2024, 2024020399. https://doi.org/10.20944/preprints202402.0399.v1

Abstract

. Interconnected control systems (ICS) widely apply to various technical systems. ICS has a complex description. Therefore, simplified models use, which the specifics of an object do not always reflect. So, the problem of synthesizing mathematical models is topical. The work purpose is to develop an approach to obtaining models in conditions of incomplete a priori information. We use an adaptive approach. As examples, two-channel systems (TCS) with cross-links and identical channels consider, and a method for mathematical model design. We consider the system with asymmetric cross-links and evaluate their impact on properties of an adaptive identification system. Approach proposed to assessing the TCS identifiability with cross-links. The excitation constancy influence on TСS parameter estimates is studied. A generalization of the proposed approach is given for an interconnected system.

Keywords

excitation constancy, geometric structure, Lyapunov exponent, structural identification, structural identifiability, S-synchronization

Subject

Computer Science and Mathematics, Mathematics

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