Robust Semi‐Global Output Regulation of Uncertain Two‐Time‐Scale Systems With Input Saturation Article Swipe
Yan Lei
,
Yan‐Wu Wang
,
Irinel‐Constantin Morărescu
,
Daniele Astolfi
·
YOU?
·
· 2025
· Open Access
·
· DOI: https://doi.org/10.1002/rnc.7858
YOU?
·
· 2025
· Open Access
·
· DOI: https://doi.org/10.1002/rnc.7858
This paper investigates the robust semi‐global output regulation of uncertain linear systems with input saturation. In this setup, one cannot apply off‐the‐shelf techniques to reject structural uncertainties due to numerical issues caused by the two time scales but also due to technical issues generated by the input saturation. To solve this problem, we combine internal model principle with low gain technique and singular perturbation theory. Explicitly, the regulator design is based on the computation of the solutions of a Sylvester equation, which can be ill‐conditioned in the two‐time scales setting. To overcome this, we propose an easily solvable equation, and the existence and uniqueness of its solution are guaranteed under some standard assumptions. Accordingly, an internal model‐based controller is designed such that the semi‐global robust output regulation problem can be solved. In order to cope with the input saturation, we impose that the ultimate upper bound of the infinity norm of the exosystem state is limited and satisfies certain constraints. Finally, three examples are provided to illustrate the effectiveness of the results.
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Metadata
- Type
- article
- Language
- en
- Landing Page
- https://doi.org/10.1002/rnc.7858
- OA Status
- green
- Cited By
- 3
- References
- 47
- Related Works
- 10
- OpenAlex ID
- https://openalex.org/W4311599113
All OpenAlex metadata
Raw OpenAlex JSON
- OpenAlex ID
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https://openalex.org/W4311599113Canonical identifier for this work in OpenAlex
- DOI
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https://doi.org/10.1002/rnc.7858Digital Object Identifier
- Title
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Robust Semi‐Global Output Regulation of Uncertain Two‐Time‐Scale Systems With Input SaturationWork title
- Type
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articleOpenAlex work type
- Language
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enPrimary language
- Publication year
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2025Year of publication
- Publication date
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2025-02-05Full publication date if available
- Authors
-
Yan Lei, Yan‐Wu Wang, Irinel‐Constantin Morărescu, Daniele AstolfiList of authors in order
- Landing page
-
https://doi.org/10.1002/rnc.7858Publisher landing page
- Open access
-
YesWhether a free full text is available
- OA status
-
greenOpen access status per OpenAlex
- OA URL
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https://hal.science/hal-03900353Direct OA link when available
- Concepts
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Saturation (graph theory), Scale (ratio), Control theory (sociology), Computer science, Mathematics, Geography, Artificial intelligence, Cartography, Control (management), CombinatoricsTop concepts (fields/topics) attached by OpenAlex
- Cited by
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3Total citation count in OpenAlex
- Citations by year (recent)
-
2025: 2, 2023: 1Per-year citation counts (last 5 years)
- References (count)
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47Number of works referenced by this work
- Related works (count)
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10Other works algorithmically related by OpenAlex
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