Stability Analysis and Stabilization of Systems With Input Backlash

Author

Tarbouriech, S. ; Queinnec, I. ; Prieur, Christophe

Author_Institution

LAAS, Toulouse, France

Volume

59

Issue

2

fYear

2014

fDate

Feb. 2014

Firstpage

488

Lastpage

494

Abstract

This technical note deals with the stability analysis and stabilization of linear systems with backlash in the input. Uniform ultimate boundedness stability and stabilization problems are tackled allowing to characterize suitable regions of the state space in which the closed-loop trajectories can be captured. In the state feedback control design, computational oriented solutions are derived to solve suboptimal convex optimization problems able to give a constructive solution.

Keywords

closed loop systems; convex programming; linear systems; nonlinear control systems; stability; state-space methods; trajectory control; closed-loop trajectory; computational oriented solutions; constructive solution; input backlash; linear systems; stability analysis; stabilization problems; state feedback control design; state space; suboptimal convex optimization problems; system stabilization; technical note; ultimate boundedness stability; Closed loop systems; Control design; Optimization; Stability analysis; State feedback; Symmetric matrices; Trajectory; Backlash; stability analysis; stabilization; uniform ultimate boundedness stability;

fLanguage

English

Journal_Title

Automatic Control, IEEE Transactions on

Publisher

ieee

ISSN

0018-9286

Type

jour

DOI

10.1109/TAC.2013.2273279

Filename

6558840