On the design of new classes of fixed-time stable systems with predefined upper bound for the settling time
Fuente:
arXiv
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| Autori principali: | , , , , |
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| Natura: | Preprint |
| Pubblicazione: |
2019
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| Soggetti: | |
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| _version_ | 1866929640850849792 |
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| author | Aldana-López, R. Gómez-Gutiérrez, D. Jiménez-Rodríguez, E. Sánchez-Torres, J. D. Defoort, M. |
| author_facet | Aldana-López, R. Gómez-Gutiérrez, D. Jiménez-Rodríguez, E. Sánchez-Torres, J. D. Defoort, M. |
| contents | This paper aims to provide a methodology for generating autonomous and non-autonomous systems with a fixed-time stable equilibrium point where an Upper Bound of the Settling Time (UBST) is set a priori as a parameter of the system. In addition, some conditions for such an upper bound to be the least one are provided. This construction procedure is a relevant contribution when compared with traditional methodologies for generating fixed-time algorithms satisfying time constraints since current estimates of an UBST may be too conservative. The proposed methodology is based on time-scale transformations and Lyapunov analysis. It allows the presentation of a broad class of fixed-time stable systems with predefined UBST, placing them under a common framework with existing methods using time-varying gains. To illustrate the effectiveness of our approach, we generate novel, autonomous and non-autonomous, fixed-time stable algorithms with predefined least UBST. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_1901_02782 |
| institution | arXiv |
| publishDate | 2019 |
| record_format | arxiv |
| spellingShingle | On the design of new classes of fixed-time stable systems with predefined upper bound for the settling time Aldana-López, R. Gómez-Gutiérrez, D. Jiménez-Rodríguez, E. Sánchez-Torres, J. D. Defoort, M. Optimization and Control Systems and Control This paper aims to provide a methodology for generating autonomous and non-autonomous systems with a fixed-time stable equilibrium point where an Upper Bound of the Settling Time (UBST) is set a priori as a parameter of the system. In addition, some conditions for such an upper bound to be the least one are provided. This construction procedure is a relevant contribution when compared with traditional methodologies for generating fixed-time algorithms satisfying time constraints since current estimates of an UBST may be too conservative. The proposed methodology is based on time-scale transformations and Lyapunov analysis. It allows the presentation of a broad class of fixed-time stable systems with predefined UBST, placing them under a common framework with existing methods using time-varying gains. To illustrate the effectiveness of our approach, we generate novel, autonomous and non-autonomous, fixed-time stable algorithms with predefined least UBST. |
| title | On the design of new classes of fixed-time stable systems with predefined upper bound for the settling time |
| topic | Optimization and Control Systems and Control |
| url | https://arxiv.org/abs/1901.02782 |