[en] We consider an exponentially stable closed loop interconnection of a continuous linear plant and a continuous linear controller, and we study the problem of interconnecting the plant output to the controller input through a digital channel. We propose a family of "transmission-lazy" sensors whose goal is to transmit the measured plant output information as little as possible while preserving closed-loop stability. In particular, we propose two transmission policies, providing conditions on the transmission parameters. These guarantee global asymptotic stability when the plant state is available or when an estimate of the state is available (provided by a classical continuous linear observer). Moreover, under a specific condition, they guarantee global exponential stability
Research Center/Unit :
Montefiore Institute - Montefiore Institute of Electrical Engineering and Computer Science - ULiège
Disciplines :
Engineering, computing & technology: Multidisciplinary, general & others
Author, co-author :
Forni, Fulvio ; Université de Liège - ULiège > Dép. d'électric., électron. et informat. (Inst.Montefiore) > Systèmes et modélisation
Galeani, Sergio
Nesic, Dragan
Zaccarian, Luca
Language :
English
Title :
Event-triggered transmission for linear control over communication channels
Publication date :
2014
Journal title :
Automatica
ISSN :
0005-1098
Publisher :
Pergamon Press - An Imprint of Elsevier Science, Oxford, United Kingdom
scite shows how a scientific paper has been cited by providing the context of the citation, a classification describing whether it supports, mentions, or contrasts the cited claim, and a label indicating in which section the citation was made.
Bibliography
Anta, A.; Tabuada, P. (2008). Self-triggered stabilization of homogeneous control systems. In American control conference (pp. 4129-4134).
A. Anta, and P. Tabuada To sample or not to sample: self-triggered control for nonlinear systems IEEE Transactions on Automatic Control 55 9 2010 2030 2042
Carnevale, D.; Teel, A.R.; Nešić, D. (2007). Further results on stability of networked control systems: a Lyapunov approach. In American control conference, 2007, ACC'07 (pp. 1741-1746). July.
Cervin, A.; Henningsson, T. (2008). Scheduling of event-triggered controllers on a shared network. In 47th IEEE conference on decision and control, 2008, CDC 2008 (pp. 3601-3606). December.
Forni, F.; Galeani, S.; Nešić, D.; Zaccarian, L. (2010). Lazy sensors for the scheduling of measurement samples transmission in linear closed loops over networks. In 49th IEEE conference on decision and control (pp. 6469-6474).
Forni, F.; Galeani, S.; Nešić, D.; Zaccarian, L. (2013). Event-triggered transmission for linear control over communication channels. arXiv:1310.0932.
R. Goebel, R. Sanfelice, and A.R. Teel Hybrid dynamical systems IEEE Control Systems Magazine 29 2 2009 28 93
R. Goebel, R. Sanfelice, and A.R. Teel Hybrid dynamical systems: modeling, stability, and robustness 2012 Princeton University Press
R. Goebel, and A.R. Teel Solutions to hybrid inclusions via set and graphical convergence with stability theory applications Automatica 42 4 2006 573 587 (Pubitemid 43267651)
R.B. Jijón, C. Canudas de Wit, S. Niculescu, and J. Dumon Adaptive observer design under low data rate transmission with applications to oil well drill-string American control conference 2010 IEEE 1973 1978
Mazo, M.; Tabuada, P. (2008). On event-triggered and self-triggered control over sensor/actuator networks. In 47th IEEE conference on decision and control, 2008, CDC 2008 (pp. 435-440). December.
D. Nešić, and D. Liberzon A unified framework for design and analysis of networked and quantized control systems IEEE Transactions on Automatic Control 54 4 2009 732 747
D. Nešić, and A.R. Teel Input output stability properties of networked control systems IEEE Transactions on Automatic Control 49 2004 1650 1667
Postoyan, R.; Anta, A.; Nešić, D.; Tabuada, P. (2011). A unifying Lyapunov-based framework for the event-triggered control of nonlinear systems. In 50th IEEE conference on decision and control and European control conference (pp. 2559-2564).
R.G. Sanfelice, R. Goebel, and A.R. Teel Invariance principles for hybrid systems with connections to detectability and asymptotic stability IEEE Transactions on Automatic Control 52 12 2007 2282 2297
Alexandre Seuret, Christophe Prieur, and Nicolas Marchand et al. Stability of nonlinear systems by means of event-triggered sampling algorithms IMA Journal of Mathematical Control and Information 2013
Y. Sharon, and D. Liberzon Input to state stabilizing controller for systems with coarse quantization IEEE Transactions on Automatic Control 57 4 2012 830 844
P. Tabuada Event-triggered real-time scheduling of stabilizing control tasks IEEE Transactions on Automatic Control 52 9 2007 1680 1685 (Pubitemid 47456078)
A.R. Teel, F. Forni, and L. Zaccarian Lyapunov-based sufficient conditions for exponential stability in hybrid systems IEEE Transactions on Automatic Control 58 6 2013 1591 1596
Wang, X.; Lemmon, M.D. (2008a). Event design in event-triggered feedback control systems. In 47th IEEE conference on decision and control, 2008, CDC 2008 (pp. 2105-2110). December.
Wang, X.; Lemmon, M.D. (2008b). Event-triggered broadcasting across distributed networked control systems. In American control conference, 2008 (pp. 3139-3144). June.
Similar publications
Sorry the service is unavailable at the moment. Please try again later.
This website uses cookies to improve user experience. Read more
Save & Close
Accept all
Decline all
Show detailsHide details
Cookie declaration
About cookies
Strictly necessary
Performance
Strictly necessary cookies allow core website functionality such as user login and account management. The website cannot be used properly without strictly necessary cookies.
This cookie is used by Cookie-Script.com service to remember visitor cookie consent preferences. It is necessary for Cookie-Script.com cookie banner to work properly.
Performance cookies are used to see how visitors use the website, eg. analytics cookies. Those cookies cannot be used to directly identify a certain visitor.
Used to store the attribution information, the referrer initially used to visit the website
Cookies are small text files that are placed on your computer by websites that you visit. Websites use cookies to help users navigate efficiently and perform certain functions. Cookies that are required for the website to operate properly are allowed to be set without your permission. All other cookies need to be approved before they can be set in the browser.
You can change your consent to cookie usage at any time on our Privacy Policy page.