A dynamic high-gain design for prescribed-time regulation of nonlinear systems. (May 2020)

• Record Type: Journal Article
• Authors: Krishnamurthy, Prashanth; Khorrami, Farshad; Krstic, Miroslav
• Is Part Of: Automatica. Volume 115(2020)
• Publication Date: 2020-05
• Subjects: Nonlinear systems -- Prescribed-time stabilization -- Finite-time stabilization -- High-gain control -- Uncertain systems; Automatic control -- Periodicals; Automation -- Periodicals; 629.805
• DOI: 10.1016/j.automatica.2020.108860
• Languages: English
• ISSNs: 0005-1098

Abstract

Abstract: "Prescribed-time" stabilization addresses the problem of regulating the state to the origin in a fixed (prescribed) time irrespective of the initial state. While prior results on prescribed-time stabilization considered specific classes of systems such as a chain of integrators with uncertainties matched with the control input (i.e., normal form), we address here a general class of nonlinear systems in a generalized strict-feedback-like structure with state-dependent nonlinear uncertainties throughout the system dynamics. The proposed control design is based on our dynamic high gain scaling technique along with a novel temporal transformation and form of the scaling dynamics with temporal forcing terms. We show that the proposed control design achieves prescribed-time stabilization for the considered general class of uncertain nonlinear systems.