Analysis and Design of Reset Control Systems via Base Linear Scaled Graphs
Fuente:
arXiv
Salvato in:
| Autori principali: | , , |
|---|---|
| Natura: | Preprint |
| Pubblicazione: |
2026
|
| Soggetti: | |
| Accesso online: | |
| Tags: |
Aggiungi Tag
Nessun Tag, puoi essere il primo ad aggiungerne!!
|
| _version_ | 1866908920645156864 |
|---|---|
| author | de Groot, T. Heemels, W. P. M. H. Eijnden, S. J. A. M. van den |
| author_facet | de Groot, T. Heemels, W. P. M. H. Eijnden, S. J. A. M. van den |
| contents | In this letter, we prove that under mild conditions, the scaled graph of a reset control system is bounded by the scaled graph of its underlying base linear system, i.e., the system without resets. Building on this new insight, we establish that the negative feedback interconnection of a linear time-invariant plant and a reset controller is stable, if the scaled graphs of the underlying base linear components are strictly separated. This result simplifies reset system analysis, as stability conditions reduce to verifying properties of linear time-invariant systems. We exploit this result to develop a systematic approach for reset control system design. Our framework also accommodates reset systems with time-regularization, which were not addressed in the context of scaled graphs before. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2603_28192 |
| institution | arXiv |
| publishDate | 2026 |
| record_format | arxiv |
| spellingShingle | Analysis and Design of Reset Control Systems via Base Linear Scaled Graphs de Groot, T. Heemels, W. P. M. H. Eijnden, S. J. A. M. van den Systems and Control In this letter, we prove that under mild conditions, the scaled graph of a reset control system is bounded by the scaled graph of its underlying base linear system, i.e., the system without resets. Building on this new insight, we establish that the negative feedback interconnection of a linear time-invariant plant and a reset controller is stable, if the scaled graphs of the underlying base linear components are strictly separated. This result simplifies reset system analysis, as stability conditions reduce to verifying properties of linear time-invariant systems. We exploit this result to develop a systematic approach for reset control system design. Our framework also accommodates reset systems with time-regularization, which were not addressed in the context of scaled graphs before. |
| title | Analysis and Design of Reset Control Systems via Base Linear Scaled Graphs |
| topic | Systems and Control |
| url | https://arxiv.org/abs/2603.28192 |