Visible to the public A Lifting Approach to L2-gain Analysis of Periodic Event-triggered and Switching Sampled-data Control SystemsConflict Detection Enabled

TitleA Lifting Approach to L2-gain Analysis of Periodic Event-triggered and Switching Sampled-data Control Systems
Publication TypeConference Paper
Year of Publication2015
AuthorsMaurice Heemels, Geir Dullerud, University of Illinois at Urbana-Champaign, Andrew Teel
Conference NameIEEE International Conference on Decision and Control (CDC 2015)
Date Published12/2015
PublisherIEEE Computer Society
Conference LocationOsaka, Japan
KeywordsNSA SoS Lablets Materials, science of security, Static-Dynamic Analysis of Security Metrics for Cyber-Physical Systems, UIUC
Abstract

In this work we are interested in the stability and L2-gain of hybrid systems with linear flow dynamics, periodic time-triggered jumps and nonlinear possibly set-valued jump maps. This class of hybrid systems includes various interesting applications such as periodic event-triggered control. In this paper we also show that sampled-data systems with arbitrarily switching controllers can be captured in this framework by requiring the jump map to be set-valued. We provide novel conditions for the internal stability and L2-gain analysis of these systems adopting a lifting-based approach. In particular, we establish that the internal stability and contractivity in terms of an L2-gain smaller than 1 are equivalent to the internal stability and contractivity of a particular discretetime set-valued nonlinear system. Despite earlier works in this direction, these novel characterisations are the first necessary and sufficient conditions for the stability and the contractivity of this class of hybrid systems. The results are illustrated through multiple new examples.

URLhttp://publish.illinois.edu/science-of-security-lablet/files/2014/05/A-Lifting-Approach-to-L2-gain-A...
Citation Keynode-30440