Title: Designing dynamic fractional terminal sliding mode controller for a class of nonlinear system with uncertainties

Authors: Arash Pourhashemi; Amin Ramezani; Mehdi Siahi

Addresses: Department of Electrical Engineering, Islamic Azad University, Central Tehran Branch, Tehran, Iran ' Department of Electrical and Computer Engineering, Tarbiat Modares University, Tehran, Iran ' Department of Electrical Engineering, Islamic Azad University, Central Tehran Branch, Tehran, Iran

Abstract: In this paper, a novel terminal sliding manifold is introduced. Then, based on new sliding surface, we proposed two new fast converging robust controllers. The first controller is a fractional terminal sliding mode controller for a class of fractional order chaotic system in order to decrease singularity problem as well increasing fast convergence. Stability analysis of the system has been proved by Lyapunov stability theorem. The second one is the fractional dynamic terminal sliding mode controller for a class of fractional second order chaotic system so as to reduce chattering problem. For each, numerical simulations have been done to show the applicability and effectiveness of the proposals.

Keywords: fractional calculus; terminal sliding mode control; dynamic sliding mode control; stabilisation.

DOI: 10.1504/IJAAC.2019.098221

International Journal of Automation and Control, 2019 Vol.13 No.2, pp.197 - 225

Received: 14 Jul 2017
Accepted: 20 Oct 2017
Published online: 06 Mar 2019 *

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