A modified generic second order algorithm with fixed-time stability

Xuan-Toa Tran; Hyondong Oh

doi:10.1016/j.isatra.2020.10.021

A modified generic second order algorithm with fixed-time stability

ISA Trans. 2021 Mar:109:72-80. doi: 10.1016/j.isatra.2020.10.021. Epub 2020 Oct 8.

Authors

Xuan-Toa Tran¹, Hyondong Oh²

Affiliations

¹ NTT Hi-Tech Institute, Nguyen Tat Thanh University, 300A Nguyen Tat Thanh Street, Ho Chi Minh City, Viet Nam.
² School of Mechanical, Aerospace and Nuclear Engineering, Ulsan National Institute of Science and Technology, Ulsan 44919, South Korea. Electronic address: h.oh@unist.ac.kr.

PMID: 33059902
DOI: 10.1016/j.isatra.2020.10.021

Abstract

This paper introduces a modified second order sliding mode algorithm with fixed-time stability analysis based on the Lyapunov function approach. An existing second order sliding mode algorithm is generalized, which provides superior features on convergence rate, accuracy, and robustness against a class of perturbations. The performance of the proposed algorithm is compared with existing algorithms through designing observers first. Then, the proposed algorithm-based controller which displays the fixed-time convergence property is designed to validate its effectiveness and to confirm the theoretical analysis.

Keywords: Differentiator; Finite-time stability; Fixed-time stability; Lyapunov function approach; Second order sliding mode; Uncertain nonlinear system.