Lyapunov design for event-triggered exponential stabilization

Anton V. Proskurnikov, Manuel Mazo

Research output: Chapter in Book/Conference proceedings/Edited volumeConference contributionScientificpeer-review

5 Citations (Scopus)
4 Downloads (Pure)

Abstract

Control Lyapunov Functions (CLF) method gives a constructive tool for stabilization of nonlinear systems. To find a CLF, many methods have been proposed in the literature, e.g. backstepping for cascaded systems and sum of squares (SOS) programming for polynomial systems. Dealing with continuous-time systems, the CLF-based controller is also continuous-time, whereas practical implementation on a digital platform requires sampled-time control. In this paper, we show that if the continuous-time controller provides exponential stabilization, then an exponentially stabilizing event-triggered control strategy exists with the convergence rate arbitrarily close to the rate of the continuous-time system.

Original languageEnglish
Title of host publicationProceedings of the 21st International Conference on Hybrid Systems (HSCC 2018)
Subtitle of host publicationComputation and Control (part of CPS Week)
Place of PublicationNew York, NY, USA
PublisherAssociation for Computing Machinery (ACM)
Pages111-119
ISBN (Electronic)978-1-4503-5642-8
DOIs
Publication statusPublished - 2018
Event21st International Conference on Hybrid Systems: Computation and Control, HSCC 2018 - Porto, Portugal
Duration: 11 Apr 201813 Apr 2018

Conference

Conference21st International Conference on Hybrid Systems: Computation and Control, HSCC 2018
CountryPortugal
CityPorto
Period11/04/1813/04/18

Keywords

  • Control Lyapunov Function
  • Event-triggered control
  • Stability

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