Title :
Stability Analysis and Stabilization of Systems With Input Backlash
Author :
Tarbouriech, S. ; Queinnec, I. ; Prieur, Christophe
Author_Institution :
LAAS, Toulouse, France
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;
Journal_Title :
Automatic Control, IEEE Transactions on
DOI :
10.1109/TAC.2013.2273279
