Stabilization of singularly perturbed networked control systems over a single channel
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arXiv
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| Main Authors: | , , , , , |
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| Format: | Preprint |
| Published: |
2025
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| _version_ | 1866915173515657216 |
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| author | Wang, Weixuan Maass, Alejandro I. Nešić, Dragan Tan, Ying Postoyan, Romain Heemels, W. P. M. H. |
| author_facet | Wang, Weixuan Maass, Alejandro I. Nešić, Dragan Tan, Ying Postoyan, Romain Heemels, W. P. M. H. |
| contents | This paper studies the emulation-based stabilization of nonlinear networked control systems with two time scales. We address the challenge of using a single communication channel for transmitting both fast and slow variables between the plant and the controller. A novel dual clock mechanism is proposed to schedule transmissions for this purpose. The system is modeled as a hybrid singularly perturbed dynamical system, and singular perturbation analysis is employed to determine individual maximum allowable transmission intervals for both fast and slow variables, ensuring semi-global practical asymptotic stability. Enhanced stability guarantees are also provided under stronger assumptions. The efficacy of the proposed method is illustrated through a numerical example. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2502_18768 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | Stabilization of singularly perturbed networked control systems over a single channel Wang, Weixuan Maass, Alejandro I. Nešić, Dragan Tan, Ying Postoyan, Romain Heemels, W. P. M. H. Optimization and Control Systems and Control This paper studies the emulation-based stabilization of nonlinear networked control systems with two time scales. We address the challenge of using a single communication channel for transmitting both fast and slow variables between the plant and the controller. A novel dual clock mechanism is proposed to schedule transmissions for this purpose. The system is modeled as a hybrid singularly perturbed dynamical system, and singular perturbation analysis is employed to determine individual maximum allowable transmission intervals for both fast and slow variables, ensuring semi-global practical asymptotic stability. Enhanced stability guarantees are also provided under stronger assumptions. The efficacy of the proposed method is illustrated through a numerical example. |
| title | Stabilization of singularly perturbed networked control systems over a single channel |
| topic | Optimization and Control Systems and Control |
| url | https://arxiv.org/abs/2502.18768 |