Chattering‐free adaptive sliding mode control for continuous‐time systems with time‐varying delay and process disturbance. (16th April 2019)

• Record Type: Journal Article
• Authors: Cui, Yanliang; Xu, Lanlan
• Is Part Of: International journal of robust and nonlinear control. Volume 29:Number 11(2019)
• Page Start: 3389
• Page End: 3404
• Publication Date: 2019-04-16
• Subjects: adaptive sliding mode control -- chattering free -- process disturbance -- time‐varying delay -- uniformly ultimately bounded stable; Automatic control -- Periodicals; Control theory -- Periodicals; Nonlinear systems -- Periodicals; 629.836
• DOI: 10.1002/rnc.4558
• Languages: English
• ISSNs: 1049-8923

Abstract

Summary: This paper concerns the controller design for continuous‐time linear systems with time‐varying delay and process disturbance. A novel adaptive sliding mode control law is mainly proposed to attract the sliding mode to first‐order sliding surface within a finite time; afterwards, the uniformly ultimately bounded stability of the closed‐loop system on the sliding surface is simultaneously guaranteed. In addition, the chattering phenomena can be conveniently excluded if the disturbance is a low‐intensity process. Once the high‐intensity disturbance is involved, the state variation can be significantly reduced as well. Furthermore, by the technique of a novel exponential free‐matrix technique, the convergence rate of the closed‐loop system can be conveniently preregulated. Numerical example is provided to demonstrate the effectiveness of the proposed method.