Design of MIMO Lur'e oscillators via dominant system theory with application in multi-agent rhythm synchronization
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arXiv
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| Autores principales: | , |
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| Formato: | Preprint |
| Publicado: |
2025
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| _version_ | 1866915448219500544 |
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| author | Kawano, Yu Forni, Fulvio |
| author_facet | Kawano, Yu Forni, Fulvio |
| contents | This paper presents a new design framework for dynamic output-feedback controllers for Lur'e oscillation in a multiple-input multiple-output setting. We first revisit and extend dominant system theory to state-dependent rates, with the goal of deriving conditions based on linear matrix inequalities. Then, we introduce a separation principle for Lur'e oscillator design, which allows for the independent design of a state-feedback oscillator and an observer. Our proposed control synthesis is demonstrated through the rhythm synchronization in multi-agent systems, illustrating how networks of stable, heterogeneous linear agents can be driven into phase-locked rhythmic behavior. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2508_12141 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | Design of MIMO Lur'e oscillators via dominant system theory with application in multi-agent rhythm synchronization Kawano, Yu Forni, Fulvio Systems and Control Optimization and Control This paper presents a new design framework for dynamic output-feedback controllers for Lur'e oscillation in a multiple-input multiple-output setting. We first revisit and extend dominant system theory to state-dependent rates, with the goal of deriving conditions based on linear matrix inequalities. Then, we introduce a separation principle for Lur'e oscillator design, which allows for the independent design of a state-feedback oscillator and an observer. Our proposed control synthesis is demonstrated through the rhythm synchronization in multi-agent systems, illustrating how networks of stable, heterogeneous linear agents can be driven into phase-locked rhythmic behavior. |
| title | Design of MIMO Lur'e oscillators via dominant system theory with application in multi-agent rhythm synchronization |
| topic | Systems and Control Optimization and Control |
| url | https://arxiv.org/abs/2508.12141 |