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Abstract
The super-twisting algorithm is a second order sliding mode control law commonly used for robust control and observation. One of its key properties is the finite time it takes to reach the sliding surface. Using Lyapunov theory, upper bounds for this reaching time may be found. This contribution considers the problem of finding the best bound that may be obtained using a family of quadratic Lyapunov functions. An optimization problem for finding this bound is derived, whose solution may be obtained using semidefinite programming. It is shown that the restrictions imposed on the perturbations and the conservativeness of the obtained bound are significantly reduced compared to existing results from literature.
Originalsprache | englisch |
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Seiten (von - bis) | 924-929 |
Fachzeitschrift | IEEE Control Systems Letters |
Jahrgang | 3 |
Ausgabenummer | 4 |
DOIs | |
Publikationsstatus | Veröffentlicht - 2019 |
Veranstaltung | 58th Conference on Decision and Control - Nice, Frankreich Dauer: 11 Dez. 2019 → 13 Dez. 2019 |
ASJC Scopus subject areas
- Steuerung und Optimierung
- Steuerungs- und Systemtechnik
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Optimal Lyapunov-Based Reaching Time Bounds for the Super-Twisting Algorithm
Richard Seeber (Redner/in)
12 Dez. 2019Aktivität: Vortrag oder Präsentation › Vortrag bei Konferenz oder Fachtagung › Science to science