View source for Control Over a Packet Dropping Network with Norm Bounded Uncertainties

{{HTDB paper
| authors = Ling Shi, Michael Epstein, Richard M Murray
| title = Control Over a Packet Dropping Network with Norm Bounded Uncertainties
| source = Asian Journal of Control, 2008 (in press)
| year = 2008
| type = Preprint
| funding = 
| url = http://www.cds.caltech.edu/~murray/preprints/sem08-ajc.pdf
| 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 drop out 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.
| flags = 
| tag = sem08-ajc
| id = 2008a
}}