Reference : A Family of Global Stabilizers for Quasi-Optimal Control of Planar Linear Saturated Syst...
Scientific journals : Article
Engineering, computing & technology : Multidisciplinary, general & others
http://hdl.handle.net/2268/107714
A Family of Global Stabilizers for Quasi-Optimal Control of Planar Linear Saturated Systems
English
Forni, Fulvio mailto [Université de Liège - ULg > Dép. d'électric., électron. et informat. (Inst.Montefiore) > Systèmes et modélisation >]
Galeani, Sergio mailto [University of Rome, Tor Vergata > Dipartimento di Informatica, Sistemi e Produzione > > >]
Zaccarian, Luca [University of Rome, Tor Vergata > Dipartimento di Informatica, Sistemi e Produzione > > >]
2010
IEEE Transactions on Automatic Control
IEEE
55
5
1175-1180
Yes (verified by ORBi)
International
0018-9286
Piscataway
NJ
[en] saturated control ; optimal control ; global stabilization
[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.
Researchers ; Professionals ; Students
http://hdl.handle.net/2268/107714
10.1109/TAC.2010.2041978

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