Stability Conditions for Remote State Estimation of Multiple Systems over Multiple Markov Fading Channels
Wanchun Liu, Daniel E. Quevedo, Karl Henrik Johansson, Branka Vucetic, Yonghui Li
Abstract
We investigate the stability conditions for remote state estimation of multiple linear time-invariant (LTI) systems over multiple wireless time-varying communication channels. We answer the following open problem: what is the fundamental requirement on the multi-sensor-multi-channel system to guarantee the existence of a sensor scheduling policy that can stabilize the remote estimation system? We propose a novel policy construction and analytical framework and derive the necessary-and-sufficient stability condition in terms of the LTI system parameters and the channel statistics.
Topics & Concepts
FadingLTI system theoryControl theory (sociology)Markov processChannel (broadcasting)Stability (learning theory)Scheduling (production processes)Computer scienceLinear systemWirelessState (computer science)Markov chainMathematical optimizationMathematicsTelecommunicationsAlgorithmStatisticsControl (management)Machine learningMathematical analysisArtificial intelligenceStability and Control of Uncertain SystemsDistributed Sensor Networks and Detection AlgorithmsTarget Tracking and Data Fusion in Sensor Networks