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Adaptive continuous twisting algorithm. (English) Zbl 1352.93063

Summary: In this paper, an Adaptive Continuous Twisting Algorithm (ACTA) is presented. For double integrator, ACTA produces a continuous control signal ensuring finite time convergence of the states to zero. Moreover, the control signal generated by ACTA compensates the Lipschitz perturbation in finite time, i.e. its value converges to the opposite value of the perturbation. ACTA also keeps its convergence properties, even in the case that the upper bound of the derivative of the perturbation exists, but it is unknown.

MSC:

93C40 Adaptive control/observation systems
93C15 Control/observation systems governed by ordinary differential equations
93B12 Variable structure systems
93B40 Computational methods in systems theory (MSC2010)
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References:

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