Title
A Family of Global Stabilizers for Quasi-Optimal Control of Planar Linear Saturated Systems
Abstract
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.
Year
DOI
Venue
2010
10.1109/TAC.2010.2041978
IEEE Trans. Automat. Contr.
Keywords
Field
DocType
Control systems,Linear systems,Nonlinear control systems,State feedback,Lighting control,Linear feedback control systems,Stability,Computer applications,Embedded computing,Lyapunov method
Lyapunov function,Mathematical optimization,Nonlinear system,Optimal control,Linear system,Nonlinear control,Control theory,Exponential stability,Mathematics,Arbitrarily large,Bounded function
Journal
Volume
Issue
ISSN
55
5
0018-9286
Citations 
PageRank 
References 
8
0.65
8
Authors
3
Name
Order
Citations
PageRank
Fulvio Forni125621.77
Sergio Galeani239842.86
Luca Zaccarian380889.60