An asymmetric stabilizer based on scheduling shifted coordinates for single-input linear systems with asymmetric saturation

Date

2021

Authors

Philipp
Giordano, G
Kellett, Christopher
Zaccarian, Luca

Journal Title

Journal ISSN

Volume Title

Publisher

IEEE Control Systems Society

Abstract

Starting from a symmetric state-feedback solution ensuring α-exponential convergence in an ellipsoidal sublevel set, with asymmetric saturation and single-input linear plants, we propose a novel asymmetric scheduled extension preserving the original symmetric solution in that sublevel set and extending the guaranteed stability region to the union of all possible contractive ellipsoids centered at a shifted equilibrium. Our design being based on the solution of a parametric optimization problem, we prove Lipschitz properties of the ensuing feedback law and we compute its explicit state-feedback expression.

Description

Keywords

Controller design for linear systems, asymmetric saturation, basin of attraction

Citation

Source

IEEE Control Systems Letters

Type

Journal article

Book Title

Entity type

Access Statement

License Rights

DOI

10.1109/LCSYS.2021.3086216

Restricted until

2099-12-31