Negative Imaginary Reset Control Systems

• 成果类型: Article
• 署名作者: Kaczmarek, Marcin B.; Hosseinnia, S. Hassan
• 署名单位: Delft University of Technology
• 刊物名称: IEEE TRANSACTIONS ON AUTOMATIC CONTROL
• ISSN/ISSBN: 0018-9286
• DOI: 10.1109/TAC.2024.3487798
• 发表日期: 2025
• 页码: 2630-2635
• 关键词: Linear systems; Linear matrix inequalities; Transfer functions; Stability criteria; Numerical stability; vibrations; resonance; Nonlinear systems; Frequency-domain analysis; Closed loop systems; Negative-imaginary (NI) systems; reset control; stability of hybrid systems

摘要

In this note, we present an extension of the nonlinear negative imaginary (NI) systems theory to reset systems. We define the reset NI and reset strictly NI systems and provide a state-space characterization of these systems in terms of linear matrix inequalities. Subsequently, we establish the conditions for the internal stability of a positive feedback interconnection of a (strictly) NI linear time-invariant plant and a reset (strictly) NI controller. The applicability of the proposed method is demonstrated in a numerical example of a reset version of a positive position feedback controller for a plant with resonance.