We deal with some finite-time control problems for discrete-time linear systems. First we provide necessary and sufficient conditions for finite-time stability; these conditions require either the computation of the state transition matrix of the system or the solution of a certain difference Lyapunov equation (or inequality). The design problem, i.e. the problem of finding a state feedback controller, which stabilizes the closed loop system in the finite-time sense, is then addressed. The way these conditions can be solved numerically is finally considered.
Finite-time stability of discrete-time systems / Amato, F.; Carbone, M.; Ariola, M.; Cosentino, C.. - (2004), pp. 1440-1444. (Intervento presentato al convegno 2004 American Control Conference tenutosi a Boston, MA, USA nel 30 giugno-2 luglio 2004) [10.23919/ACC.2004.1386778].
Finite-time stability of discrete-time systems
Amato, F.;
2004
Abstract
We deal with some finite-time control problems for discrete-time linear systems. First we provide necessary and sufficient conditions for finite-time stability; these conditions require either the computation of the state transition matrix of the system or the solution of a certain difference Lyapunov equation (or inequality). The design problem, i.e. the problem of finding a state feedback controller, which stabilizes the closed loop system in the finite-time sense, is then addressed. The way these conditions can be solved numerically is finally considered.| File | Dimensione | Formato | |
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