On the controllability of a sampled-data system under nonuniform sampling

Abstract

In this paper, controllability of a sampled-data system under nonuniform sampling is investigated. The problem is motivated with the widespread networked and embedded control systems in which sampling periods may be varying and exact sampling instants are unknown. The continuous-time system is assumed to be controllable and a condition is derived for sampling intervals under which the resulting sampled-data system will also be controllable. The proposed condition requires lesser number of samples to make sampled system controllable as compared with the existing results.