Chalanga, A;
Plestan, F;
(2017)
Finite Time Stabilization of An Uncertain Chain of Integrators by Integral Sliding Mode Approach.
IFAC-PapersOnLine
, 50
(1)
pp. 9613-9618.
10.1016/j.ifacol.2017.08.1700.
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Abstract
In this paper, finite time stabilization of an uncertain chain of integrators is studied. The controller proposed in the paper, under some conditions guarantees the convergence of all the states at time exactly tFand that chosen in advance. The controller is designed based on the integral sliding mode approach, which is the combination of two controls: a nominal control which is designed to obtain desired performances for the disturbance free system and a super-twisting control is designed for the disturbance compensation. The proposed controller also adjusts the chattering because of continuous control. Finally this paper presents the finite time stability proof of super-twisting algorithm by using continuously differentiable Lyapunov function. Thanks to academic example, effectiveness by the proposed method is presented with simulation results. Through the simulations performance of the proposed method is compare with an existing method.
| Type: | Article |
|---|---|
| Title: | Finite Time Stabilization of An Uncertain Chain of Integrators by Integral Sliding Mode Approach |
| Event: | 20th World Congress of the International Federation of Automatic Control (IFAC), 9-14 July 2017, Toulouse, France |
| Open access status: | An open access version is available from UCL Discovery |
| DOI: | 10.1016/j.ifacol.2017.08.1700 |
| Publisher version: | https://doi.org/10.1016/j.ifacol.2017.08.1700 |
| Language: | English |
| Additional information: | This version is the author accepted manuscript. For information on re-use, please refer to the publisher’s terms and conditions. |
| Keywords: | Integral sliding mode control, optimal control, finite time convergence, higher order sliding mode control |
| UCL classification: | UCL UCL > Provost and Vice Provost Offices UCL > Provost and Vice Provost Offices > UCL BEAMS UCL > Provost and Vice Provost Offices > UCL BEAMS > Faculty of Engineering Science |
| URI: | https://discovery.ucl.ac.uk/id/eprint/10055361 |
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