Combination of fractional-order, adaptive second order and non-singular terminal sliding mode controls for dynamical systems with uncertainty and under-actuation property. (December 2022)

• Record Type: Journal Article
• Authors: Tabatabaei-Nejhad, Seyede Zahra; Eghtesad, Mohammad; Farid, Mehrdad; Bazargan-Lari, Yousef
• Is Part Of: Chaos, solitons and fractals. Volume 165:Part 1(2022)
• Publication Date: 2022-12
• Subjects: Fractional control -- Parameter uncertainty -- Under-actuated system -- Terminal sliding mode control -- Adaptive control -- Lyapunov stability theory; Chaotic behavior in systems -- Periodicals; Solitons -- Periodicals; Fractals -- Periodicals; Chaotic behavior in systems; Fractals; Solitons; Periodicals; 003.7
• DOI: 10.1016/j.chaos.2022.112752
• Languages: English
• ISSNs: 0960-0779

Abstract

Abstract: This paper introduces a new type of control strategy for dynamical systems subjected to uncertainties. The suggested controller combines the capabilities of sliding mode control with fractional-order control and a specified adaption law. The stability of the closed-loop system is examined based on Lyapunov stability theory. This control scheme can be employed in many conventional systems; however, in this paper, we try to apply it to an under-actuated system as a novel extension to the variety of its applications. The idea originates from the practical features of fractional calculus including the facts that the fractional derivative has a memory of past values and it preserves a large stability region and has more free parameters to enhance the performance of the controller. Computer simulations are included to highlight the efficiency and applicability of the proposed controller in control of an under-actuated system even in the presence of parameter uncertainties. Highlights: Design of a new control scheme combining, also utilizing the merits and capabilities of, FO-control and SMC methods, Examination of the stability based on Lyapunov stability theory, Application of the suggested control method, through simulations, to a system with under-actuation property and uncertainty, Discussion of the simulation results to illustrate the method's advantages