In this paper we deal with some ¯nite-time control problems for discrete- time, time-varying linear systems. First we provide necessary and su±cient con- ditions for ¯nite-time stability; these conditions require either the computation of the state transition matrix of the system or the solution of a certain di®erence Lyapunov inequality. Then we address the design problem. The proposed condi- tions allow to ¯nd state feedback and output feedback controllers which stabilizes the closed loop system in the ¯nite-time sense.
FINITE-TIME OUTPUT FEEDBACK CONTROL OF DISCRETE-TIME SYSTEMS / Amato, Francesco; Ariola, Marco; Carbone, Marco; Cosentino, Carlo. - 38:1(2005), pp. 514-519. (Intervento presentato al convegno 16th IFAC World Congress tenutosi a Praga nel 3-8 luglio 2005) [10.3182/20050703-6-CZ-1902.00486].
FINITE-TIME OUTPUT FEEDBACK CONTROL OF DISCRETE-TIME SYSTEMS
Amato, Francesco;
2005
Abstract
In this paper we deal with some ¯nite-time control problems for discrete- time, time-varying linear systems. First we provide necessary and su±cient con- ditions for ¯nite-time stability; these conditions require either the computation of the state transition matrix of the system or the solution of a certain di®erence Lyapunov inequality. Then we address the design problem. The proposed condi- tions allow to ¯nd state feedback and output feedback controllers which stabilizes the closed loop system in the ¯nite-time sense.| File | Dimensione | Formato | |
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