Abstract
Nussbaum function techniques are commonly used to investigate output regulation problems for various systems subject to unknown control direction. However, their implementation often leads to large overshoots when the initial estimates of the control direction are wrong, which yields systems with poor transient performance. This study proposes an extremum-seeking control approach to overcome the need for Nussbaum-type functions. The approach yields control laws that can handle the robust practical output regulation problem for a class of nonlinear systems subject to an unknown time-varying control direction. The stability of the design is proven using a Lie bracket averaging technique. It is shown that uniform ultimate boundedness of the closed-loop signals is guaranteed. Finally, a simulation study is performed involving a chaotic control problem for the generalized Lorenz system with an unknown time-varying coefficient to illustrate the validity of the theoretical results.
| Original language | English |
|---|---|
| Title of host publication | 2023 American Control Conference, ACC 2023 |
| Publisher | IEEE |
| Pages | 4808-4813 |
| Number of pages | 6 |
| ISBN (Electronic) | 9798350328066 |
| ISBN (Print) | 9781665469524 |
| DOIs | |
| Publication status | Published - 2023 |
| Externally published | Yes |
| Event | 2023 American Control Conference, ACC 2023 - San Diego, United States Duration: 31 May 2023 → 2 Jun 2023 |
Publication series
| Name | Proceedings of the American Control Conference |
|---|---|
| Volume | 2023-May |
| ISSN (Print) | 0743-1619 |
Conference
| Conference | 2023 American Control Conference, ACC 2023 |
|---|---|
| Country/Territory | United States |
| City | San Diego |
| Period | 31/05/23 → 2/06/23 |
Bibliographical note
Publisher Copyright:© 2023 American Automatic Control Council.
Funding
This work is supported by the Natural Sciences and Engineering Research Council of Canada (NSERC).