The Second-Order Sliding Mode Control Algorithm for Fixed-Time Stability of Nonlinear Systems

• Published in: Circuits, systems, and signal processing Vol. 43; no. 9; pp. 5507 - 5531
• Main Authors: Zeng, Qinjun, Jiang, Minghui, Hu, Junhao
• Format: Journal Article
• Language: English
• Published: New York Springer US 01.09.2024; Springer Nature B.V
• Subjects: Aircraft engines; Algorithms; Circuits and Systems; Control algorithms; Control stability; Control systems; Control theory; Dynamical systems; Electrical Engineering; Electronics and Microelectronics; Engineering; Instrumentation; Nonlinear control; Nonlinear systems; Signal processing; Signal,Image and Speech Processing; Sliding mode control; Surface stability; Time varying control; Fixed-time stability; Second-order sliding mode control; Nonlinear systems; Sliding mode surface
• ISSN: 0278-081X; 1531-5878
• DOI: 10.1007/s00034-024-02714-1

This article focuses on the fixed-time stability of a class of nonlinear systems with uncertain disturbances and time-varying delays. Different from other papers, the second-order sliding mode control algorithm (SOSMCA) is developed in this article to study the fixed-time stability of nonlinear systems for the first time. Additionally, the novel sliding mode surface (SMC) and second-order SMC are presented. And the stability and reachability of the sliding-mode dynamics under a faster settling time are demonstrated. Finally, the applicability and validity of the obtained SOSMCA are demonstrated by a simulation example with the F-404 aircraft engine model.