e-Controllability/e-Observability of linear switched sampled-data systems with the non-equidistant time schedule

Abstract

In this work, a novel perspective is developed to investigate the property of controllability/observability of linear switched sampled-data systems under the non-equidistant sampling schedule. In this regard, two new notions are introduced as & epsilon;-controllability and & epsilon;-observability to create a feasible ground for controlling and observing linear switched sampled-data systems with any initial time chosen from outside of & epsilon; neighborhood of switching instants. The main motivation is to control and observe the given switched sampled-data system, which consists of a finite number of discrete-time sub-systems within each sub-system. Hence, the system requires a lower number of sampling times for & epsilon;-controllability and & epsilon;-observability compared to the original notions of controllability and observability in this context. Although the number of sampling times in a certain time interval increases whenever & epsilon; tends to zero, the number of sampling candidates required for & epsilon;-controllability and & epsilon;-observability becomes finite. Numerical experiments are performed on several continuous time switched linear systems, and & epsilon;- controllability and & epsilon;-observability of their corresponding switched sampled-data systems are derived for various & epsilon; values under constructed non-equidistant sampling patterns.& COPY; 2023 ISA. Published by Elsevier Ltd. All rights reserved.