Higher Order Sinusoidal-Input Describing Function Analysis for a Class of Multiple-Input Multiple-Output Convergent Systems

• 成果类型: Article
• 署名作者: van Eijk, Luke F.; Kostic, Dragan; Khosravi, Mohammad; Hosseinnia, S. Hassan
• 署名单位: Delft University of Technology; Delft University of Technology
• 刊物名称: IEEE TRANSACTIONS ON AUTOMATIC CONTROL
• ISSN/ISSBN: 0018-9286
• DOI: 10.1109/TAC.2024.3442877
• 发表日期: 2025
• 页码: 673-680
• 关键词: Linear systems; Harmonic analysis; accuracy; control systems; MIMO communication; Time-domain analysis; Frequency control; frequency domain; higher order sinusoidal-input describing function (HOSIDF); multiple-input multiple-output (MIMO) systems; uniformly convergent systems

摘要

This article introduces output prediction methods for two types of systems containing sinusoidal-input uniformly convergent (SIUC) elements. The first method considers these elements in combination with single-input single-output linear time-invariant (LTI) systems before, after, and in parallel to them. The second method considers a multiple-input multiple-output LTI system where each input is controlled by an SIUC element. The output prediction only requires frequency-response functions of the LTI elements and is fully accurate for sinusoidal inputs.