Terminal Sliding Mode Control with Adaptive Law for Uncertain Nonlinear System. (7th October 2015)

• Record Type: Journal Article
• Authors: Zhao, Zhanshan; Zhang, Jing; Sun, Liankun; Zhang, Dakun
• Other Names: Yan Xinggang Academic Editor.
• Is Part Of: Mathematical problems in engineering. Volume 2015(2015)
• Publication Date: 2015-10-07
• Subjects: Engineering mathematics -- Periodicals; 510.2462
• DOI: 10.1155/2015/519090
• Languages: English
• ISSNs: 1024-123X

Abstract

Abstract : A novel nonsingular terminal sliding mode controller is proposed for a second-order system with unmodeled dynamics uncertainties and external disturbances. We need not achieve the knowledge for boundaries of uncertainties and external disturbances in advance. The adaptive control gains are obtained to estimate the uncertain parameters and external disturbances which are unknown but bounded. The closed loop system stability is ensured with robustness and adaptation by the Lyapunov stability theorem in finite time. An illustrative example of second-order nonlinear system with unmodeled dynamics and external disturbances is given to demonstrate the effectiveness of the presented scheme.