This paper presents a framework for the gain scheduling of QSR-dissipative systems and quantifies the resulting QSR-dissipative properties of the overall gain-scheduled system. This work constitutes a generalization of prior work in the literature involving the gain scheduling of passive and conic systems, providing a practical extension to non-square QSR-dissipative systems. The derived results are presented for two classes of systems that account for many well-known special cases of QSR-dissipative systems, including passive, conic, and finite L2 gain systems. Special cases of the developed theory are shown to match closely to existing results in the literature. A numerical example is included that demonstrates the benefits of the derived results within the context of gain-scheduled control, with a comparison to passivity-based control.
|Original language||English (US)|
|Title of host publication||2023 American Control Conference, ACC 2023|
|Publisher||Institute of Electrical and Electronics Engineers Inc.|
|Number of pages||7|
|State||Published - 2023|
|Event||2023 American Control Conference, ACC 2023 - San Diego, United States|
Duration: May 31 2023 → Jun 2 2023
|Name||Proceedings of the American Control Conference|
|Conference||2023 American Control Conference, ACC 2023|
|Period||5/31/23 → 6/2/23|
Bibliographical notePublisher Copyright:
© 2023 American Automatic Control Council.