saturated control; optimal control; global stabilization
Abstract :
[en] We propose a family of nonlinear state feedback global stabilizers for all planar linear systems which are globally stabilizable by bounded inputs (namely, all non exponentially unstable linear systems). This family is parametrized by a nonlinear function whose selection can yield quasi time-optimal responses, where the "quasi" is required to achieve local exponential stability of the closed loop. The arising trajectories are quasi-time-optimal for arbitrarily large initial conditions; so, we expect the very simple proposed nonlinear control law to be very useful for embedded control applications with strong computational constraints.
Disciplines :
Engineering, computing & technology: Multidisciplinary, general & others
Author, co-author :
Forni, Fulvio ; Université de Liège - ULiège > Dép. d'électric., électron. et informat. (Inst.Montefiore) > Systèmes et modélisation
Galeani, Sergio; University of Rome, Tor Vergata > Dipartimento di Informatica, Sistemi e Produzione
Zaccarian, Luca; University of Rome, Tor Vergata > Dipartimento di Informatica, Sistemi e Produzione
Language :
English
Title :
A Family of Global Stabilizers for Quasi-Optimal Control of Planar Linear Saturated Systems
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