Observability and controllability of systems with limited data rate

Authors:
Ge Guo;Xiaoping Liu
Affiliations:
School of Information Science and Technology, Dalian Maritime University, Dalian 116026, China;Department of Electrical Engineering, Lakehead University, Thunder Bay, Canada
Venue:
International Journal of Systems Science
Year:
2009

Citing 2
Cited 1

INTEGRATED COMMUNICATION AND CONTROL SYSTEMS WITH OCCASIONAL INFORMATION FEEDBACK

Cybernetics and Systems
Exponential stabilisability of finite-dimensional linear systems with limited data rates

Automatica (Journal of IFAC)

Linear systems with medium-access constraint and Markov actuator assignment

IEEE Transactions on Circuits and Systems Part I: Regular Papers

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Abstract

Some fundamental properties of observability and controllability are studied for linear discrete-time systems in a bandwidth-limited communication network environment shared by a number of sensors and actuators and a remote controller. The concepts of finite time set-observability and set-controllability are introduced for such systems. Sufficient and necessary conditions on quantisation level for set-observability and set-controllability are derived. Especially, the admissible data rates of the communication network are obtained that are sufficient and necessary for the system to be finite time set-observable or finite time set-controllable. In addition, less conservative sufficient and necessary rates based on quantisation level of system states are given too.