On Kalman filtering over fading wireless channels with controlled transmission powers

Abstract

We study stochastic stability of centralized Kalman filtering for linear time-varying systems equipped with wireless sensors. Transmission is over fading channels where variable channel gains are counteracted by power control to alleviate the effects of packet drops. We establish sufficient conditions for the expected value of the Kalman filter covariance matrix to be exponentially bounded in norm. The conditions obtained are then used to formulate stabilizing power control policies which minimize the total sensor power budget. In deriving the optimal power control laws, both statistical channel information and full channel information are considered. The effect of system instability on the power budget is also investigated for both these cases.

Non‐fragile H ∞ control with randomly occurring gain variations, distributed delays and channel fadings

“…Combining (25) and (27) with the use of Schur Complement Lemma, we can see that the inequality (24) is…”

“…With measurements transmitted through fading channels in a NCS, the overall system performance could deteriorate drastically and, accordingly, it becomes necessary to investigate how the effects from the channel fadings upon the dynamic behaviors of the NCSs can be attenuated. Very recently, some pioneering work has been done on the linear quadratic Gaussian (LQG) control [26] and the Kalman filtering problems [27,28], and there is still plenty of room for further investigation, say, on the combinational influences from both the distributed delays and the fading channels.…”

Particle filtering with applications in networked systems: a survey

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Sensor Transmission Power Schedule for Smart Grids

“…The probability of transmission failure typically has a positive correlation with transmission power. Because the transmission power is usually provided by limited on-board batteries in smart grid, an sensor transmission power schedule should be designed to balance the transmission failure probability and the transmission power consumption [13][14][15]. This paper focuses on the sensor transmission power schedule problem in RTSE of power system.…”