Samenvatting
The notion of convergent systems provides a powerful tool for the analysis and design of nonlinear systems. This paper is concerned with establishing convergence properties of a linear time-invariant (LTI) system placed in feedback with a sector-bounded hybrid integrator, the latter enabling performance such as reduced overshoot inaccessible to any linear integrator. By exploiting key properties of the hybrid integrator's discontinuous vector field that hold only in certain subregions of the state-space, a tailored piecewise quadratic incremental Lyapunov function is constructed by appropriately 'connecting' local incremental storage functions. Based on this result, computable conditions for convergence are formulated in the form of linear matrix inequalities (LMIs).
| Originele taal-2 | Engels |
|---|---|
| Titel | 2022 IEEE 61st Conference on Decision and Control, CDC 2022 |
| Uitgeverij | Institute of Electrical and Electronics Engineers |
| Pagina's | 7636-7641 |
| Aantal pagina's | 6 |
| ISBN van elektronische versie | 978-1-6654-6761-2 |
| DOI's | |
| Status | Gepubliceerd - 10 jan. 2023 |
| Evenement | 2022 IEEE 61st Conference on Decision and Control (CDC) - The Marriott Cancún Collection, Cancun, Mexico Duur: 6 dec. 2022 → 9 dec. 2022 Congresnummer: 61 https://cdc2022.ieeecss.org/ |
Congres
| Congres | 2022 IEEE 61st Conference on Decision and Control (CDC) |
|---|---|
| Verkorte titel | CDC 2022 |
| Land/Regio | Mexico |
| Stad | Cancun |
| Periode | 6/12/22 → 9/12/22 |
| Internet adres |
Bibliografische nota
Funding Information:The research leading to these results has received funding from the European Research Council under the Advanced ERC Grant Agreement PROACTHIS, no. 101055384.
Financiering
The research leading to these results has received funding from the European Research Council under the Advanced ERC Grant Agreement PROACTHIS, no. 101055384.