Abstract
This paper deals with the problem of robust output regulation of systems governed by nonlinear contraction semigroups. After adding an integral action to the system, we design a feedback law based on the so-called forwarding approach. For small constant perturbations, we give sufficient conditions for the existence of a locally exponentially stable equilibrium at which the output coincides with the reference. Under additional assumptions, global asymptotic stability is achieved. All these conditions are investigated in the case of semilinear systems, and examples of application are given.
| Original language | English |
|---|---|
| Pages (from-to) | 2571-2594 |
| Number of pages | 24 |
| Journal | SIAM Journal on Control and Optimization |
| Volume | 61 |
| Issue number | 4 |
| DOIs | |
| Publication status | Published - 2023 |
| Publication type | A1 Journal article-refereed |
Funding
Funding: This work was partially funded by French grants ANR ODISSE (ANR-19-CE48-0004-01) and MIAI@Grenoble Alpes (ANR-19-P3IA-0003).
| Funders | Funder number |
|---|---|
| ANR-19-CE48-0004-01 | |
| MIAI@Grenoble Alpes | ANR-19-P3IA-0003 |
Keywords
- forwarding design
- infinite-dimensional control systems
- nonlinear contraction semigroups
- output regulation
- semilinear systems
Publication forum classification
- Publication forum level 3
ASJC Scopus subject areas
- Control and Optimization
- Applied Mathematics
Fingerprint
Dive into the research topics of 'Output Regulation of Infinite-Dimensional Nonlinear Systems: A Forwarding Approach for Contraction Semigroups'. Together they form a unique fingerprint.Cite this
- APA
- Author
- BIBTEX
- Harvard
- Standard
- RIS
- Vancouver