@inproceedings{71ced3c3307b4db38421c210f492fcb3,
title = "Hybrid integrator-gain system based integral resonant controllers for negative imaginary systems",
abstract = "We introduce a hybrid control system called a hybrid integrator-gain system (HIGS) based integral resonant controller (IRC) to stabilize negative imaginary (NI) systems. A HIGS-based IRC has a similar structure to an IRC, with the integrator replaced by a HIGS. We show that a HIGS-based IRC is an NI system. Also, for a SISO NI system with a minimal realization, we show there exists a HIGS-based IRC such that their closed-loop interconnection is asymptotically stable. Also, we propose a proportional-integral-double-integral resonant controller (P I I2 RC) and a HIGS-based PII2 RC, and we show that both of them can be applied to asymptotically stabilize an NI system. An example is provided to illustrate the proposed results.",
keywords = "hybrid integrator-gain system, integral resonant control, negative imaginary system, robust control, stability",
author = "Kanghong Shi and Petersen, \{Ian R.\}",
note = "Publisher Copyright: {\textcopyright} 2024 IEEE.; 63rd IEEE Conference on Decision and Control, CDC 2024 ; Conference date: 16-12-2024 Through 19-12-2024",
year = "2024",
doi = "10.1109/CDC56724.2024.10886834",
language = "English",
series = "Proceedings of the IEEE Conference on Decision and Control",
publisher = "Institute of Electrical and Electronics Engineers Inc.",
pages = "2379--2384",
booktitle = "2024 IEEE 63rd Conference on Decision and Control, CDC 2024",
address = "United States",
}