Salgado, I. ; Kamal, S. ; Bandyopadhyay, B. ; Chairez, I. ; Fridman, L. (2016) Control of discrete time systems based on recurrent Super-Twisting-like algorithm ISA Transactions, 64 . pp. 47-55. ISSN 0019-0578
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Official URL: http://doi.org/10.1016/j.isatra.2016.04.024
Related URL: http://dx.doi.org/10.1016/j.isatra.2016.04.024
Abstract
Most of the research in sliding mode theory has been carried out to in continuous time to solve the estimation and control problems. However, in discrete time, the results in high order sliding modes have been less developed. In this paper, a discrete time super-twisting-like algorithm (DSTA) was proposed to solve the problems of control and state estimation. The stability proof was developed in terms of the discrete time Lyapunov approach and the linear matrix inequalities theory. The system trajectories were ultimately bounded inside a small region dependent on the sampling period. Simulation results tested the DSTA. The DSTA was applied as a controller for a Furuta pendulum and for a DC motor supplied by a DSTA signal differentiator.
| Item Type: | Article |
|---|---|
| Source: | Copyright of this article belongs to Elsevier B.V. |
| Keywords: | Sliding Mode Control; Discrete-Time Super Twisting Algorithm; Sliding Mode Differentiator; Electro-Mechanical Systems. |
| ID Code: | 115375 |
| Deposited On: | 17 Mar 2021 07:21 |
| Last Modified: | 17 Mar 2021 07:21 |
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