A dynamic high-gain design for prescribed-time regulation of nonlinear systems

Prashanth Krishnamurthy, Farshad Khorrami, Miroslav Krstic

Research output: Contribution to journalArticle

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 languageEnglish (US)
Article number108860
JournalAutomatica
Volume115
DOIs
StatePublished - May 2020

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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

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