In this paper an iterative characterization of the null controllable region for discrete-time linear systems subject to input saturation with unstable eigenvalues is proposed. First an outer estimate of the null controllable region by means of invariant hyperparallelograms is obtained and then an iterated convexification technique is developed. Theoretical developments are supported by some illustrative examples.

An iterative approach for the description of null controllable regions of discrete-time linear systems with saturating inputs / Corradini, Maria Letizia; Cristofaro, Andrea; G., Orlando. - (2011), pp. 96-101. (Intervento presentato al convegno 19th Mediterranean Conference on Control and Automation, MED 2011 tenutosi a Corfu; Greece) [10.1109/MED.2011.5983008].

An iterative approach for the description of null controllable regions of discrete-time linear systems with saturating inputs

CRISTOFARO, ANDREA
;
2011

Abstract

In this paper an iterative characterization of the null controllable region for discrete-time linear systems subject to input saturation with unstable eigenvalues is proposed. First an outer estimate of the null controllable region by means of invariant hyperparallelograms is obtained and then an iterated convexification technique is developed. Theoretical developments are supported by some illustrative examples.
2011
19th Mediterranean Conference on Control and Automation, MED 2011
Linear systems; Lyapunov functions; Actuator saturation
04 Pubblicazione in atti di convegno::04b Atto di convegno in volume
An iterative approach for the description of null controllable regions of discrete-time linear systems with saturating inputs / Corradini, Maria Letizia; Cristofaro, Andrea; G., Orlando. - (2011), pp. 96-101. (Intervento presentato al convegno 19th Mediterranean Conference on Control and Automation, MED 2011 tenutosi a Corfu; Greece) [10.1109/MED.2011.5983008].
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