Control with minimum communication cost per symbol

Justin Pearson, Joao P. Hespanha, Daniel Liberzon
2014 53rd IEEE Conference on Decision and Control  
We address the problem of stabilizing a continuous-time linear time-invariant process under communication constraints. We assume that the sensor that measures the state is connected to the actuator through a finite capacity communication channel over which an encoder at the sensor sends symbols from a finite alphabet to a decoder at the actuator. We consider a situation where one symbol from the alphabet consumes no communication resources, whereas each of the others consumes one unit of
more » ... cation resources to transmit. This paper explores how the imposition of limits on an encoder's bit-rate and average resource consumption affect the encoder/decoder/controller's ability to keep the process bounded. The main result is a necessary and sufficient condition for a bounding encoder/decoder/controller which depends on the encoder's bit-rate, its average resource consumption, and the unstable eigenvalues of the process.
doi:10.1109/cdc.2014.7040336 dblp:conf/cdc/PearsonHL14 fatcat:kp23bsf3ebgv3ekchl4353lski