Periodic event-triggered output feedback control of nonlinear systems

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

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

Abstract

We investigate the stabilization of perturbed nonlinear systems using output-based periodic event-triggered controllers. Thus, the communication between the plant and the controller is triggered by a mechanism, which evaluates an output- and input-dependent rule at given sampling instants. We address the problem by emulation. Hence, we assume the knowledge of a continuous-time output feedback controller, which robustly stabilizes the system in the absence of network. We then implement the controller over the network and model the overall system as a hybrid system. We design the event-triggered mechanism to ensure an input-to-state stability property. An explicit bound on the maximum allowable sampling period at which the triggering rule is evaluated is provided. The analysis relies on the construction of a novel hybrid Lyapunov function. The results are applied to a class of Lipschitz nonlinear systems, for which we formulate the required conditions as linear matrix inequalities. The effectiveness of the scheme is illustrated via simulations of a nonlinear example.

LanguageEnglish
Title of host publication2018 IEEE Conference on Decision and Control, CDC 2018
Place of PublicationPiscataway
PublisherInstitute of Electrical and Electronics Engineers
Pages957-962
Number of pages6
ISBN (Electronic)978-1-5386-1395-5
ISBN (Print)978-1-5386-1396-2
DOIs
StatePublished - 18 Jan 2019
Event57th IEEE Conference on Decision and Control, CDC 2018 - Miami, United States
Duration: 17 Dec 201819 Dec 2018
Conference number: 57

Conference

Conference57th IEEE Conference on Decision and Control, CDC 2018
Abbreviated titleCDC 2018
CountryUnited States
CityMiami
Period17/12/1819/12/18

Fingerprint

Output Feedback Control
Feedback control
Nonlinear systems
Nonlinear Systems
Controller
Controllers
Sampling
Explicit Bounds
Emulation
Output
Perturbed System
Output Feedback
Lyapunov functions
Linear matrix inequalities
Hybrid systems
Hybrid Systems
Instant
Lyapunov Function
Lipschitz
Matrix Inequality

Cite this

Wang, W., Postoyan, R., Nessic, D., & Heemels, W. P. M. H. (2019). Periodic event-triggered output feedback control of nonlinear systems. In 2018 IEEE Conference on Decision and Control, CDC 2018 (pp. 957-962). [8619494] Piscataway: Institute of Electrical and Electronics Engineers. DOI: 10.1109/CDC.2018.8619494
Wang, W. ; Postoyan, R. ; Nessic, D. ; Heemels, W.P.M.H./ Periodic event-triggered output feedback control of nonlinear systems. 2018 IEEE Conference on Decision and Control, CDC 2018. Piscataway : Institute of Electrical and Electronics Engineers, 2019. pp. 957-962
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Wang, W, Postoyan, R, Nessic, D & Heemels, WPMH 2019, Periodic event-triggered output feedback control of nonlinear systems. in 2018 IEEE Conference on Decision and Control, CDC 2018., 8619494, Institute of Electrical and Electronics Engineers, Piscataway, pp. 957-962, 57th IEEE Conference on Decision and Control, CDC 2018, Miami, United States, 17/12/18. DOI: 10.1109/CDC.2018.8619494

Periodic event-triggered output feedback control of nonlinear systems. / Wang, W.; Postoyan, R.; Nessic, D.; Heemels, W.P.M.H.

2018 IEEE Conference on Decision and Control, CDC 2018. Piscataway : Institute of Electrical and Electronics Engineers, 2019. p. 957-962 8619494.

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

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Wang W, Postoyan R, Nessic D, Heemels WPMH. Periodic event-triggered output feedback control of nonlinear systems. In 2018 IEEE Conference on Decision and Control, CDC 2018. Piscataway: Institute of Electrical and Electronics Engineers. 2019. p. 957-962. 8619494. Available from, DOI: 10.1109/CDC.2018.8619494