Premium
Control over a packet dropping network with norm bounded uncertainties
Author(s) -
Shi Ling,
Epstein Michael,
Murray Richard M.
Publication year - 2008
Publication title -
asian journal of control
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.769
H-Index - 53
eISSN - 1934-6093
pISSN - 1561-8625
DOI - 10.1002/asjc.2
Subject(s) - network packet , control theory (sociology) , dropout (neural networks) , bounded function , norm (philosophy) , controller (irrigation) , computer science , control (management) , stability (learning theory) , stability theory , mathematical optimization , mathematics , computer network , nonlinear system , mathematical analysis , agronomy , physics , quantum mechanics , machine learning , artificial intelligence , political science , law , biology
Abstract In this paper, we consider a robust networked control problem. We consider linear unstable and uncertain discrete time plants with a network between the sensor and controller as well as between the controller and plant. We investigate the effect of data dropout in the form of packet losses and we focus on the tradeoff between packet arrival rate versus the uncertainties of the system dynamics. We show that the minimum packet arrival rate and the maximum uncertainty of the system dynamics have a positive correlation. Four distinct control schemes are explored and serve as examples to study this tradeoff. We derive sufficient condition for each scheme to ensure almost sure stability of the closed loop system. Simulation and examples are provided to assist the theory. Copyright © 2008 John Wiley and Sons Asia Pte Ltd and Chinese Automatic Control Society