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


Hamidoğlu A., GÖKSU G.

ISA Transactions, vol.139, pp.167-178, 2023 (SCI-Expanded) identifier identifier

  • Publication Type: Article / Article
  • Volume: 139
  • Publication Date: 2023
  • Doi Number: 10.1016/j.isatra.2023.04.030
  • Journal Name: ISA Transactions
  • Journal Indexes: Science Citation Index Expanded (SCI-EXPANDED), Scopus, Applied Science & Technology Source, Communication Abstracts, Compendex, Computer & Applied Sciences, INSPEC
  • Page Numbers: pp.167-178
  • Keywords: Controllability, Kalman rank condition, Linear switched system, Observability, Sampled-data system
  • Yıldız Technical University Affiliated: Yes

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.