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| Main Authors: | , , |
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| Format: | Preprint |
| Published: |
2023
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| Subjects: | |
| Online Access: | https://arxiv.org/abs/2311.03164 |
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| _version_ | 1866917624505434112 |
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| author | Tan, Xiao Papachristodoulou, Antonis Dimarogonas, Dimos V. |
| author_facet | Tan, Xiao Papachristodoulou, Antonis Dimarogonas, Dimos V. |
| contents | This paper proposes a (control) barrier function synthesis and safety verification scheme for interconnected nonlinear systems based on assume-guarantee contracts (AGC) and sum-of-squares (SOS) techniques. It is well-known that the SOS approach does not scale well for barrier function synthesis for high-dimensional systems. In this paper, we show that compositional methods like AGC can mitigate this problem. We formulate the synthesis problem into a set of small-size problems, which constructs local contracts for subsystems, and propose a negotiation scheme among the subsystems at the contract level. The proposed scheme is then implemented numerically on two examples: vehicle platooning and room temperature regulation. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2311_03164 |
| institution | arXiv |
| publishDate | 2023 |
| record_format | arxiv |
| spellingShingle | A contract negotiation scheme for safety verification of interconnected systems Tan, Xiao Papachristodoulou, Antonis Dimarogonas, Dimos V. Systems and Control This paper proposes a (control) barrier function synthesis and safety verification scheme for interconnected nonlinear systems based on assume-guarantee contracts (AGC) and sum-of-squares (SOS) techniques. It is well-known that the SOS approach does not scale well for barrier function synthesis for high-dimensional systems. In this paper, we show that compositional methods like AGC can mitigate this problem. We formulate the synthesis problem into a set of small-size problems, which constructs local contracts for subsystems, and propose a negotiation scheme among the subsystems at the contract level. The proposed scheme is then implemented numerically on two examples: vehicle platooning and room temperature regulation. |
| title | A contract negotiation scheme for safety verification of interconnected systems |
| topic | Systems and Control |
| url | https://arxiv.org/abs/2311.03164 |