1. [formula omitted]-Controllability/[formula omitted]-Observability of linear switched sampled-data systems with the non-equidistant time schedule.
- Author
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Hamidoğlu, Ali and Göksu, Gökhan
- Subjects
DISCRETE-time systems ,OBSERVABILITY (Control theory) ,CONTROLLABILITY in systems engineering ,SCHEDULING ,LINEAR systems - 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 ϵ -controllability and ϵ -observability to create a feasible ground for controlling and observing linear switched sampled-data systems with any initial time chosen from outside of ϵ 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 ϵ -controllability and ϵ -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 ϵ tends to zero, the number of sampling candidates required for ϵ -controllability and ϵ -observability becomes finite. Numerical experiments are performed on several continuous time switched linear systems, and ϵ -controllability and ϵ -observability of their corresponding switched sampled-data systems are derived for various ϵ values under constructed non-equidistant sampling patterns. • Notions of ϵ -controllability and ϵ -observability are introduced in switched systems. • Kalman rank condition provides the property of ϵ -controllability/ ϵ -observability. • ϵ -Controllability/ ϵ -Observability requires less number of sampling times. • Different kinds of industrial problems are investigated in this context. [ABSTRACT FROM AUTHOR]
- Published
- 2023
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