Stabilization of nonlinear systems using state-feedback periodic event-triggered controllers

W. Wang, R. Postoyan, D. Nešić, W.P.M.H. Heemels

Research output: Chapter in Book/Report/Conference proceedingConference contributionAcademicpeer-review

10 Citations (Scopus)

Abstract

We investigate the scenario where a controller communicates with a plant at discrete time instants generated by an event-triggering mechanism. In particular, the latter collects sampled data from the plant and the controller at each sampling instant, and then decides whether the control input needs to be updated, leading to periodic event-triggered control (PETC). In this paper, we propose a systematic design procedure for PETC that stabilize general nonlinear systems. The design is based on the existence of a continuous-time state-feedback controller, which stabilizes the system in the absence of communication constraints. We then take into account the sampling and we design an event-triggering condition, which is only updated at some of the sampling instants, to preserve stability. An explicit bound on the maximum sampling period with which the triggering rule is evaluated is provided. We show that there exists a trade-off between the latter and a parameter used to define the triggering condition. The results are applied to a van de Pol oscillator as an illustration.

Original languageEnglish
Title of host publication2016 IEEE 55th Conference on Decision and Control, CDC 2016
Place of PublicationPiscataway
PublisherInstitute of Electrical and Electronics Engineers
Pages6808-6813
Number of pages6
ISBN (Electronic)978-1509-01837-6
DOIs
Publication statusPublished - 27 Dec 2016
Event55th IEEE Conference on Decision and Control (CDC 2016) - Aria Resort and Casino, Las Vegas, United States
Duration: 12 Dec 201614 Dec 2016
Conference number: 55
http://cdc2016.ieeecss.org/

Conference

Conference55th IEEE Conference on Decision and Control (CDC 2016)
Abbreviated titleCDC02016
CountryUnited States
CityLas Vegas
Period12/12/1614/12/16
Internet address

Fingerprint

State feedback
State Feedback
Nonlinear systems
Stabilization
Nonlinear Systems
Instant
Sampling
Controller
Controllers
Explicit Bounds
Continuous Time
Discrete-time
Trade-offs
Scenarios
Communication
Design

Cite this

Wang, W., Postoyan, R., Nešić, D., & Heemels, W. P. M. H. (2016). Stabilization of nonlinear systems using state-feedback periodic event-triggered controllers. In 2016 IEEE 55th Conference on Decision and Control, CDC 2016 (pp. 6808-6813). [7799317] Piscataway: Institute of Electrical and Electronics Engineers. https://doi.org/10.1109/CDC.2016.7799317
Wang, W. ; Postoyan, R. ; Nešić, D. ; Heemels, W.P.M.H. / Stabilization of nonlinear systems using state-feedback periodic event-triggered controllers. 2016 IEEE 55th Conference on Decision and Control, CDC 2016. Piscataway : Institute of Electrical and Electronics Engineers, 2016. pp. 6808-6813
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Wang, W, Postoyan, R, Nešić, D & Heemels, WPMH 2016, Stabilization of nonlinear systems using state-feedback periodic event-triggered controllers. in 2016 IEEE 55th Conference on Decision and Control, CDC 2016., 7799317, Institute of Electrical and Electronics Engineers, Piscataway, pp. 6808-6813, 55th IEEE Conference on Decision and Control (CDC 2016), Las Vegas, United States, 12/12/16. https://doi.org/10.1109/CDC.2016.7799317

Stabilization of nonlinear systems using state-feedback periodic event-triggered controllers. / Wang, W.; Postoyan, R.; Nešić, D.; Heemels, W.P.M.H.

2016 IEEE 55th Conference on Decision and Control, CDC 2016. Piscataway : Institute of Electrical and Electronics Engineers, 2016. p. 6808-6813 7799317.

Research output: Chapter in Book/Report/Conference proceedingConference contributionAcademicpeer-review

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Wang W, Postoyan R, Nešić D, Heemels WPMH. Stabilization of nonlinear systems using state-feedback periodic event-triggered controllers. In 2016 IEEE 55th Conference on Decision and Control, CDC 2016. Piscataway: Institute of Electrical and Electronics Engineers. 2016. p. 6808-6813. 7799317 https://doi.org/10.1109/CDC.2016.7799317