Adaptive continuous twisting algorithm. Issue 9 (1st September 2016)

• Record Type: Journal Article
• Authors: Moreno, Jaime A.; Negrete, Daniel Y.; Torres-González, Victor; Fridman, Leonid
• Is Part Of: International journal of control. Volume 89:Issue 9(2016)
• Page Start: 1798
• Page End: 1806
• Publication Date: 2016-09-01
• Subjects: Sliding mode control -- adaptive control; Automatic control -- Periodicals; Electronic journals; 629.8
• DOI: 10.1080/00207179.2015.1116713
• Languages: English
• ISSNs: 0020-7179

Abstract

Abstract: 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.