Convergence Time Bounds for a Family of Second-Order Homogeneous State-Feedback Controllers

Richard Seeber*

*Corresponding author for this work

Research output: Contribution to journalArticle

Abstract

This letter studies a family of second-order homogeneous state-feedback controllers, which includes the well-known twisting algorithm as a special case. Upper bounds for the closed loop's convergence time are proposed that may be computed analytically for any values of the positive controller parameters. Numerical comparisons show that the bound approximates the actual convergence time to within a factor of two over a large parameter range.
Original languageEnglish
Article number9103505
Pages (from-to)1018-1023
Number of pages6
JournalIEEE Control Systems Letters
Volume4
Issue number4
DOIs
Publication statusPublished - Oct 2020

Keywords

  • Homogeneity
  • Finite-time convergence
  • Lyapunov methods
  • Variable-structure/sliding-mode control
  • finite-time convergence
  • variable-structure/sliding-mode control

ASJC Scopus subject areas

  • Control and Optimization
  • Control and Systems Engineering

Fields of Expertise

  • Information, Communication & Computing

Fingerprint

Dive into the research topics of 'Convergence Time Bounds for a Family of Second-Order Homogeneous State-Feedback Controllers'. Together they form a unique fingerprint.

Cite this