In this paper we deal with some finite-time control problems for discrete-time, time-varying 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 inequality. Then we address the design problem. The proposed conditions allow us to find output feedback controllers which stabilize the closed loop system in the finite-time sense; all these conditions can be expressed in terms of LMIs and therefore are numerically tractable, as shown in the example included in the paper.
Finite-time control of discrete-time linear systems: Analysis and design conditions / Amato, F.; Ariola, M.; Cosentino, C.. - In: AUTOMATICA. - ISSN 0005-1098. - 46:5(2010), pp. 919-924. [10.1016/j.automatica.2010.02.008]
Finite-time control of discrete-time linear systems: Analysis and design conditions
Amato F.;
2010
Abstract
In this paper we deal with some finite-time control problems for discrete-time, time-varying 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 inequality. Then we address the design problem. The proposed conditions allow us to find output feedback controllers which stabilize the closed loop system in the finite-time sense; all these conditions can be expressed in terms of LMIs and therefore are numerically tractable, as shown in the example included in the paper.File | Dimensione | Formato | |
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