Data-Driven Strictly Positive Real System Identification with prior System Knowledge

2021/10/12 by Nikhil Potu Surya Prakash, Zhi Chen, Prakash, Nikhil Potu Surya +3 · 1 citation
Engineering · Physics and Astronomy · #Control Systems and Identification #FOS: Electrical engineering #Fault Detection and Control Systems #Model Reduction and Neural Networks #Systems and Control (eess.SY) #electronic engineering #information engineering

paper · pdf · doi:10.48550/arxiv.2110.05672

openalex publication_date 2021/10/12 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

Strictly Positive Real (SPR) transfer functions arise in many areas of engineering like passivity theory in circuit analysis and adaptive control to name a few. In many physical systems, it is possible to conclude that the system is Positive Real (PR) or SPR but system identification algorithms might produce estimates which are not SPR. In this paper, an algorithm to approximate frequency response data with SPR transfer functions using Generalized Orthonormal Basis Functions (GOBFs) is presented. Prior knowledge of the system helps us to get approximate pole locations, which can then be used to construct GOBFs. Next, a convex optimization problem will be formulated to obtain an estimate of the SPR transfer function.

Cited by

• Control-Oriented System Identification: Classical, Learning, and Physics-Informed Approaches

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