Continuous terminal sliding-mode controller. (July 2016)

• Record Type: Journal Article
• Authors: Kamal, Shyam; Moreno, Jaime A.; Chalanga, Asif; Bandyopadhyay, Bijnan; Fridman, Leonid M.
• Is Part Of: Automatica. Volume 69(2016)
• Page Start: 308
• Page End: 314
• Publication Date: 2016-07
• Subjects: Third-order sliding-mode -- Finite time stability -- Lyapunov stability; Automatic control -- Periodicals; Automation -- Periodicals; 629.805
• DOI: 10.1016/j.automatica.2016.02.001
• Languages: English
• ISSNs: 0005-1098

Abstract

Abstract: For uncertain systems with relative degree two, a continuous homogeneous sliding-mode control algorithm is proposed. This algorithm ensures finite-time convergence to the third-order sliding set, using only information about the output and its first derivative. We prove the convergence of the proposed algorithm via a homogeneous, continuously differentiable and strict Lyapunov function.