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.
Original language | English (US) |
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Article number | 108860 |
Journal | Automatica |
Volume | 115 |
DOIs | |
State | Published - May 2020 |
Keywords
- Finite-time stabilization
- High-gain control
- Nonlinear systems
- Prescribed-time stabilization
- Uncertain systems
ASJC Scopus subject areas
- Control and Systems Engineering
- Electrical and Electronic Engineering