A small-gain approach to event-triggered control of nonlinear systems

Tengfei Liu, Zhong-Ping Jiang

Research output: Chapter in Book/Report/Conference proceedingConference contribution

Abstract

This paper presents a new approach to event-triggered control of nonlinear systems. The study is directly based on the notion of input-to-state stability (ISS) and its essential relationship with robust stability. Our main result is an ISS gain condition for event-triggered control of nonlinear systems. It is proved that infinitely fast sampling can be avoided with an appropriately designed event triggering mechanism if the system is input-to-state stabilizable with the sampling error as the external input and the resulted ISS gain is Lipschitz on compact sets. No assumption on the existence of known ISS-Lyapunov functions is made in the discussions. Moreover, the forward completeness problem with event-triggered control is studied systematically by ISS small-gain arguments.

Original languageEnglish (US)
Title of host publicationProceedings of the 33rd Chinese Control Conference, CCC 2014
PublisherIEEE Computer Society
Pages5857-5862
Number of pages6
ISBN (Print)9789881563842
DOIs
StatePublished - Sep 11 2014
EventProceedings of the 33rd Chinese Control Conference, CCC 2014 - Nanjing, China
Duration: Jul 28 2014Jul 30 2014

Other

OtherProceedings of the 33rd Chinese Control Conference, CCC 2014
CountryChina
CityNanjing
Period7/28/147/30/14

Fingerprint

Nonlinear systems
Nonlinear Systems
Sampling
Robust Stability
Lyapunov functions
Compact Set
Lyapunov Function
Lipschitz
Completeness

Keywords

  • Event-triggered control
  • input-to-state stability (ISS)
  • nonlinear systems
  • small-gain theorem

ASJC Scopus subject areas

  • Computer Science Applications
  • Control and Systems Engineering
  • Applied Mathematics
  • Modeling and Simulation

Cite this

Liu, T., & Jiang, Z-P. (2014). A small-gain approach to event-triggered control of nonlinear systems. In Proceedings of the 33rd Chinese Control Conference, CCC 2014 (pp. 5857-5862). [6895942] IEEE Computer Society. https://doi.org/10.1109/ChiCC.2014.6895942

A small-gain approach to event-triggered control of nonlinear systems. / Liu, Tengfei; Jiang, Zhong-Ping.

Proceedings of the 33rd Chinese Control Conference, CCC 2014. IEEE Computer Society, 2014. p. 5857-5862 6895942.

Research output: Chapter in Book/Report/Conference proceedingConference contribution

Liu, T & Jiang, Z-P 2014, A small-gain approach to event-triggered control of nonlinear systems. in Proceedings of the 33rd Chinese Control Conference, CCC 2014., 6895942, IEEE Computer Society, pp. 5857-5862, Proceedings of the 33rd Chinese Control Conference, CCC 2014, Nanjing, China, 7/28/14. https://doi.org/10.1109/ChiCC.2014.6895942
Liu T, Jiang Z-P. A small-gain approach to event-triggered control of nonlinear systems. In Proceedings of the 33rd Chinese Control Conference, CCC 2014. IEEE Computer Society. 2014. p. 5857-5862. 6895942 https://doi.org/10.1109/ChiCC.2014.6895942
Liu, Tengfei ; Jiang, Zhong-Ping. / A small-gain approach to event-triggered control of nonlinear systems. Proceedings of the 33rd Chinese Control Conference, CCC 2014. IEEE Computer Society, 2014. pp. 5857-5862
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