Hamidoğlu A, Göksu G. ϵ-Controllability/ϵ-Observability of linear switched sampled-data systems with the non-equidistant time schedule.
ISA TRANSACTIONS 2023;
139:167-178. [PMID:
37169692 DOI:
10.1016/j.isatra.2023.04.030]
[Citation(s) in RCA: 0] [Impact Index Per Article: 0] [Reference Citation Analysis] [Abstract] [Key Words] [Track Full Text] [Subscribe] [Scholar Register] [Received: 07/27/2022] [Revised: 04/22/2023] [Accepted: 04/23/2023] [Indexed: 05/13/2023]
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.
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