## Stochastic sensor activation for distributed state estimation over a sensor network.(English)Zbl 1297.93160

Summary: We consider distributed state estimation over a resource-limited wireless sensor network. A stochastic sensor activation scheme is introduced to reduce the sensor energy consumption in communications, under which each sensor is activated with a certain probability. When the sensor is activated, it observes the target state and exchanges its estimate of the target state with its neighbors; otherwise, it only receives the estimates from its neighbors. An optimal estimator is designed for each sensor by minimizing its mean-squared estimation error. An upper and a lower bound of the limiting estimation error covariance are obtained. A method of selecting the consensus gain and a lower bound of the activating probability is also provided.

### MSC:

 93E10 Estimation and detection in stochastic control theory 93A14 Decentralized systems

### Keywords:

distributed state estimation; sensor scheduling; consensus
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### References:

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