A Constructive Method for Designing Safe Multirate Controllers for Differentially-Flat Systems
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arXiv
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| Autores principales: | , , , , , |
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| Formato: | Preprint |
| Publicado: |
2024
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| _version_ | 1866929506901557248 |
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| author | Agrawal, Devansh R. Parwana, Hardik Cosner, Ryan K. Rosolia, Ugo Ames, Aaron D. Panagou, Dimitra |
| author_facet | Agrawal, Devansh R. Parwana, Hardik Cosner, Ryan K. Rosolia, Ugo Ames, Aaron D. Panagou, Dimitra |
| contents | We present a multi-rate control architecture that leverages fundamental properties of differential flatness to synthesize controllers for safety-critical nonlinear dynamical systems. We propose a two-layer architecture, where the high-level generates reference trajectories using a linear Model Predictive Controller, and the low-level tracks this reference using a feedback controller. The novelty lies in how we couple these layers, to achieve formal guarantees on recursive feasibility of the MPC problem, and safety of the nonlinear system. Furthermore, using differential flatness, we provide a constructive means to synthesize the multi-rate controller, thereby removing the need to search for suitable Lyapunov or barrier functions, or to approximately linearize/discretize nonlinear dynamics. We show the synthesized controller is a convex optimization problem, making it amenable to real-time implementations. The method is demonstrated experimentally on a ground rover and a quadruped robotic system. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2403_18015 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | A Constructive Method for Designing Safe Multirate Controllers for Differentially-Flat Systems Agrawal, Devansh R. Parwana, Hardik Cosner, Ryan K. Rosolia, Ugo Ames, Aaron D. Panagou, Dimitra Systems and Control Robotics We present a multi-rate control architecture that leverages fundamental properties of differential flatness to synthesize controllers for safety-critical nonlinear dynamical systems. We propose a two-layer architecture, where the high-level generates reference trajectories using a linear Model Predictive Controller, and the low-level tracks this reference using a feedback controller. The novelty lies in how we couple these layers, to achieve formal guarantees on recursive feasibility of the MPC problem, and safety of the nonlinear system. Furthermore, using differential flatness, we provide a constructive means to synthesize the multi-rate controller, thereby removing the need to search for suitable Lyapunov or barrier functions, or to approximately linearize/discretize nonlinear dynamics. We show the synthesized controller is a convex optimization problem, making it amenable to real-time implementations. The method is demonstrated experimentally on a ground rover and a quadruped robotic system. |
| title | A Constructive Method for Designing Safe Multirate Controllers for Differentially-Flat Systems |
| topic | Systems and Control Robotics |
| url | https://arxiv.org/abs/2403.18015 |