Adaptive Chattering-Free Sliding Mode Control of Chaotic Systems with Unknown Input Nonlinearity via Smooth Hyperbolic Tangent Function. (7th October 2019)

• Record Type: Journal Article
• Authors: Fang, Jiunn-Shiou; Tsai, Jason Sheng-Hong; Yan, Jun-Juh; Guo, Shu-Mei
• Other Names: Lo Schiavo Alessandro Academic Editor.
• Is Part Of: Mathematical problems in engineering. Volume 2019(2019)
• Publication Date: 2019-10-07
• Subjects: Engineering mathematics -- Periodicals; 510.2462
• DOI: 10.1155/2019/4509674
• Languages: English
• ISSNs: 1024-123X

Abstract

Abstract : The design of adaptive chattering-free sliding mode controller (SMC) for chaotic systems with unknown input nonlinearities is studied in this paper. A smooth hyperbolic tangent function is utilized to replace the discontinuous sign function; therefore, the proposed adaptive SMC ensures that not only the chaos phenomenon can be suppressed effectively but also the chattering often appearing in the traditional discontinuous SMC with sign function is eliminated, even when the unknown input nonlinearity is present. A sufficient condition for stability of closed-loop system is acquired by Lyapunov theory. The numerical simulation results are illustrated to verify the proposed adaptive sliding mode control method.