Second order sliding mode control for nonlinear affine systems with quantized uncertainty. (December 2017)

• Record Type: Journal Article
• Authors: Incremona, Gian Paolo; Cucuzzella, Michele; Ferrara, Antonella
• Is Part Of: Automatica. Volume 86(2017)
• Page Start: 46
• Page End: 52
• Publication Date: 2017-12
• Subjects: Sliding mode control -- Nonlinear systems -- Uncertain dynamic systems -- Quantized signals -- Sliding surfaces; Automatic control -- Periodicals; Automation -- Periodicals; 629.805
• DOI: 10.1016/j.automatica.2017.08.019
• Languages: English
• ISSNs: 0005-1098

Abstract

Abstract: This paper deals with the design of a Second-Order Sliding Mode (SOSM) control algorithm able to enhance the closed-loop performance depending on the current working conditions. The novelty of the proposed approach is the design of a nonsmooth switching line, based on the quantization of the uncertainties affecting the system. The quantized uncertainty levels allow one to define nested box sets in the auxiliary state space, i.e., the space of the sliding variable and its first time derivative, and select suitable control amplitudes for each set, in order to guarantee the convergence of the sliding variable to the sliding manifold in a finite time. The proposed algorithm is theoretically analyzed, proving the existence of an upperbound of the reaching time to the origin through the considered quantization levels.