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

Richard Seeber

doi:10.1109/LCSYS.2020.2998673

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

Richard Seeber^*

^*Corresponding author for this work

Institute of Automation and Control (4430)

Research output: Contribution to journal › Article › peer-review

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 language	English
Article number	9103505
Pages (from-to)	1018-1023
Number of pages	6
Journal	IEEE Control Systems Letters
Volume	4
Issue number	4
DOIs	https://doi.org/10.1109/LCSYS.2020.2998673
Publication status	Published - 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

Access to Document

10.1109/LCSYS.2020.2998673

Seeber 2020 - Convergence Time Bounds for a Family of Second-Order Homogeneous State-Feedback ControllersAccepted author manuscript, 484 KBLicence: CC BY-NC-ND 4.0

Cite this

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AB - 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.

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KW - Finite-time convergence

KW - Lyapunov methods

KW - Variable-structure/sliding-mode control

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

Abstract

Keywords

ASJC Scopus subject areas

Fields of Expertise

Access to Document

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