Sampled – data control of switched affine systems: a continuous-time approach

This paper considers the stabilization problem for switched affine systems with a sampled-data switching law. The switching law is assumed to be a function of the system state at sampling instants and the sampling interval may be subject to variations or uncertainty. The main idea is to provide a robust switching law design criterion that takes into account the sampled-data implementation. The problem is addressed from the continuous-time point of view using Linear Matrix Inequalities (LMIs). The method is illustrated by a numerical example.