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This paper considers the remote state estimation in a cyber-physical system(CPS) using multiple sensors. The measurements of each sensor are transmittedto a remote estimator over a shared channel, where simultaneous transmissionsfrom other sensors are regarded as interference signals. In such a competitiveenvironment, each sensor needs to choose its transmission power for sendingdata packets taking into account of other sensors' behavior. To model thisinteractive decision-making process among the sensors, we introduce amulti-player non-cooperative game framework. To overcome the inefficiencyarising from the Nash equilibrium (NE) solution, we propose a correlationpolicy, along with the notion of correlation equilibrium (CE). An analyticalcomparison of the game value between the NE and the CE is provided,with/without the power expenditure constraints for each sensor. Also, numericalsimulations demonstrate the comparison results.

Multi-sensor Transmission Management for Remote State Estimation under Coordination