Extremum Seeking Nonovershooting Control of Strict-Feedback Systems Under Unknown Control Direction
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arXiv
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| Main Authors: | , , , , |
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| Format: | Preprint |
| Published: |
2026
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| _version_ | 1866914256177332224 |
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| author | Lu, Kaixin Lyu, Ziliang Mo, Yanfang Hong, Yiguang Yu, Haoyong |
| author_facet | Lu, Kaixin Lyu, Ziliang Mo, Yanfang Hong, Yiguang Yu, Haoyong |
| contents | This paper addresses the nonovershooting control problem for strict-feedback nonlinear systems with unknown control direction. We propose a method that integrates extremum seeking with Lie bracket-based design to achieve approximately nonovershooting tracking. The approach ensures that arbitrary reference trajectories can be tracked from below for any initial condition, with the overshoot reducible to arbitrarily small levels through parameter tuning. The method further provides a mechanism for enforcing high-relative-degree nonovershooting constraints in safety-critical scenarios involving unknown control directions. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2601_09998 |
| institution | arXiv |
| publishDate | 2026 |
| record_format | arxiv |
| spellingShingle | Extremum Seeking Nonovershooting Control of Strict-Feedback Systems Under Unknown Control Direction Lu, Kaixin Lyu, Ziliang Mo, Yanfang Hong, Yiguang Yu, Haoyong Systems and Control This paper addresses the nonovershooting control problem for strict-feedback nonlinear systems with unknown control direction. We propose a method that integrates extremum seeking with Lie bracket-based design to achieve approximately nonovershooting tracking. The approach ensures that arbitrary reference trajectories can be tracked from below for any initial condition, with the overshoot reducible to arbitrarily small levels through parameter tuning. The method further provides a mechanism for enforcing high-relative-degree nonovershooting constraints in safety-critical scenarios involving unknown control directions. |
| title | Extremum Seeking Nonovershooting Control of Strict-Feedback Systems Under Unknown Control Direction |
| topic | Systems and Control |
| url | https://arxiv.org/abs/2601.09998 |