A Lipschitz continuous sliding mode control for implicit systems. (September 2022)

• Record Type: Journal Article
• Authors: Babu, Praveen S.; Hernandez, Debbie; Bandyopadhyay, Bijnan; Fridman, Leonid
• Is Part Of: European journal of control. Volume 67(2022)
• Publication Date: 2022-09
• Subjects: Implicit systems -- Sliding mode control -- Sliding surface -- Lipschitz continuous control; Control theory -- Periodicals; Automatic control -- Periodicals; Automatic control -- Mathematics -- Periodicals; Electronic journals; 629.805
• DOI: 10.1016/j.ejcon.2022.100661
• Languages: English
• ISSNs: 0947-3580

Abstract

Abstract: In this paper, implicit systems with uncertain input matrix subjected to matched Lipschitz disturbances are considered. For such kind of systems a Lipschitz continuous control, achieving admissible solutions for implicit systems is proposed. The developed methodology consists of two steps. In the first step a stable sliding surface is designed after transforming the original system into a regular like form. Then a first order sliding mode controller through an integrator is designed which will ensure finite-time convergence to the sliding manifold and the exponential convergence to the origin in spite of the presence of Lipschitz disturbances and uncertain input matrix.