@article{1f614476efcc49d6add410e728555165,
title = "A dynamic high-gain design for prescribed-time regulation of nonlinear systems",
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.",
keywords = "Finite-time stabilization, High-gain control, Nonlinear systems, Prescribed-time stabilization, Uncertain systems",
author = "Prashanth Krishnamurthy and Farshad Khorrami and Miroslav Krstic",
note = "Funding Information: Farshad Khorrami received his Bachelors degrees in Mathematics and Electrical Engineering in 1982 and 1984 respectively from The Ohio State University. He also received his Master{\textquoteright}s degree in Mathematics and Ph.D. in Electrical Engineering in 1984 and 1988 from The Ohio State University. Dr. Khorrami is currently a professor of Electrical & Computer Engineering Department at NYU where he joined as an assistant professor in Sept. 1988. His research interests include adaptive and nonlinear controls, robotics and automation, unmanned vehicles, cyber security for cyber–physical systems, embedded systems security, machine learning, and large-scale systems and decentralized control. Prof. Khorrami has published more than 280 refereed journal and conference papers in these areas. His book “Modeling and Adaptive Nonlinear Control of Electric Motors” was published by Springer Verlag in 2003. He also has fourteen U.S. patents on novel smart micro-positioners and actuators, control systems, security, and wireless sensors and actuators. He has developed and directed the Control/Robotics Research Laboratory at Polytechnic University (Now NYU). His research has been supported by the ARO, NSF, ONR, DARPA, ARL, AFRL, NASA, and several corporations. Prof. Khorrami has served as general chair and conference organizing committee member of several international conferences. Prof. Khorrami has also commercialized UAVs as well as development of auto-pilots for various unmanned vehicles. ",
year = "2020",
month = may,
doi = "10.1016/j.automatica.2020.108860",
language = "English (US)",
volume = "115",
journal = "Automatica",
issn = "0005-1098",
publisher = "Elsevier Limited",
}