Control of a twin wind turbines system without wind velocity information

Plestan, Franck; Evangelista, Carolina Alejandra; Puleston, Pablo Federico; Guenoune, Ibrahim

doi:10.1109/vss.2018.8460274

Cited by 4 publications

(1 citation statement)

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“…One field that offers several techniques for dealing with this problem is sliding mode control. A common sliding mode control technique is the so-called super-twisting algorithm [1], which may be used as a robust control law, see, e.g., [2], [3], and as an observer, such as, e.g., in [4], [5]. When used as a controller, it can steer the plant towards a sliding surface in finite time, which is typically constructed such that desired dynamics are obtained in this sliding mode.…”

Section: Introductionmentioning

confidence: 99%

Optimal Lyapunov-Based Reaching Time Bounds for the Super-Twisting Algorithm

Seeber

Horn

2019

IEEE Control Syst. Lett.

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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.

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