Abstract
Hybrid integrator-gain systems (HIGS) are hybrid control elements used to overcome fundamental performance limitations of linear time-invariant feedback control, and have enjoyed early engineering successes in mechatronic applications such as control of high-precision motion systems. However, the development of discretized versions of HIGS and their sampled-data analysis have not been addressed in the literature so far. This paper presents a discrete-time version of HIGS, which preserves the main philosophy behind the operation of HIGS in continuous time. Moreover, stability criteria are presented that can be used to certify input-to-state stability of discrete-time and sampled-data HIGS-controlled systems based on both (i) (measured) frequency response data, and (ii) linear matrix inequalities (LMIs). A numerical case study demonstrates the use of the main results.
| Original language | English |
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| Title of host publication | 2022 IEEE 61st Conference on Decision and Control, CDC 2022 |
| Publisher | Institute of Electrical and Electronics Engineers |
| Pages | 7612-7617 |
| Number of pages | 6 |
| ISBN (Electronic) | 978-1-6654-6761-2 |
| DOIs | |
| Publication status | Published - 10 Jan 2023 |
| Event | 61st IEEE Conference on Decision and Control, CDC 2022 - The Marriott Cancún Collection, Cancun, Mexico Duration: 6 Dec 2022 → 9 Dec 2022 Conference number: 61 https://cdc2022.ieeecss.org/ |
Conference
| Conference | 61st IEEE Conference on Decision and Control, CDC 2022 |
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| Abbreviated title | CDC 2022 |
| Country/Territory | Mexico |
| City | Cancun |
| Period | 6/12/22 → 9/12/22 |
| Internet address |
Bibliographical note
Funding Information:Bardia Sharif, Dirk Alferink, Marcel Heertjes, Henk Nijmeijer, and Maurice Heemels are with the Department of Mechanical Engineering, Eindhoven University of Technology, The Netherlands. Marcel Heertjes is also with ASML Mechatronic Systems Development, Veldhoven, the Netherlands. E-mail corresponding author: [email protected] This work has received funding as part of the project CLOC, which is financed by the Netherlands organization for scientific research (NWO). Maurice Heemels received funding from the European Research Council under the Advanced ERC Grant Agreement PROACTHIS, no. 101055384.