Singular Perturbation: When the Perturbation Parameter Becomes a State-Dependent Function
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arXiv
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| Main Authors: | , |
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| Format: | Preprint |
| Published: |
2024
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| _version_ | 1866914819506962432 |
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| author | Liu, Tengfei Jiang, Zhong-Ping |
| author_facet | Liu, Tengfei Jiang, Zhong-Ping |
| contents | This paper presents a new systematic framework for nonlinear singularly perturbed systems in which state-dependent perturbation functions are used instead of constant perturbation coefficients. Under this framework, general results are obtained for the global robust stability and input-to-state stability of nonlinear singularly perturbed systems. Interestingly, the proposed methodology provides innovative solutions beyond traditional singular perturbation theory for emerging control problems arising from nonlinear integral control, feedback optimization, and formation-based source seeking. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2406_00753 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | Singular Perturbation: When the Perturbation Parameter Becomes a State-Dependent Function Liu, Tengfei Jiang, Zhong-Ping Optimization and Control Systems and Control This paper presents a new systematic framework for nonlinear singularly perturbed systems in which state-dependent perturbation functions are used instead of constant perturbation coefficients. Under this framework, general results are obtained for the global robust stability and input-to-state stability of nonlinear singularly perturbed systems. Interestingly, the proposed methodology provides innovative solutions beyond traditional singular perturbation theory for emerging control problems arising from nonlinear integral control, feedback optimization, and formation-based source seeking. |
| title | Singular Perturbation: When the Perturbation Parameter Becomes a State-Dependent Function |
| topic | Optimization and Control Systems and Control |
| url | https://arxiv.org/abs/2406.00753 |