Analysis of Inter-Event Times for Planar Linear Systems under a General Class of Event Triggering Rules

Rajan, A and Tallapragada, P (2020) Analysis of Inter-Event Times for Planar Linear Systems under a General Class of Event Triggering Rules. In: 59th IEEE Conference on Decision and Control, CDC 2020, 14-18 Dec 2020, Jeju Island; South Korea, Virtual, pp. 5206-5211.

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Abstract

This paper analyzes the evolution of inter-event times for a planar linear system under a general class of scale-invariant event triggering rules. For scale-invariant event triggering rules, the inter-event time is a function of only the angle of the state at an event. We analyze the properties of this inter-event time function such as periodicity and continuity. In particular, the inter-event time function is continuous except for finitely many angles and we provide sufficient conditions under which the inter-event time function is continuous. Then, we analyze the evolution of the angle of the state from one event to the next and reduce the problem of studying the evolution of the inter-event times to that of studying the angle map and its fixed points. For a specific triggering rule, we provide necessary conditions for the convergence of inter-event time to a steady state value. We illustrate the proposed results through numerical simulations. © 2020 IEEE.

Item Type:	Conference Paper
Publication:	Proceedings of the IEEE Conference on Decision and Control
Publisher:	Institute of Electrical and Electronics Engineers Inc.
Additional Information:	The copyright of this article belongs to Institute of Electrical and Electronics Engineers Inc.
Keywords:	Control engineering, Event-triggering; Fixed points; General class; Scale invariant; Steady-state values; Time function, Linear systems
Department/Centre:	Division of Electrical Sciences > Electrical Engineering
Date Deposited:	23 Feb 2021 07:03
Last Modified:	23 Feb 2021 07:03
URI:	http://eprints.iisc.ac.in/id/eprint/67975

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