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On Kalman smoothing for wireless sensor networks systems with multiplicative noises. (English) Zbl 1251.93126

Summary: The paper deals with the Kalman (or \(H_2\)) smoothing problem for wireless sensor networks (WSNs) with multiplicative noises. Packet loss occurs in the observation equations, and multiplicative noises occur both in the system state equation and the observation equations. The Kalman smoothers which include Kalman fixed-interval smoother, Kalman fixedlag smoother, and Kalman fixed-point smoother are given by solving Riccati equations and Lyapunov equations based on the projection theorem and innovation analysis. An example is also presented to ensure the efficiency of the approach. Furthermore, the proposed three Kalman smoothers are compared.

MSC:

93E11 Filtering in stochastic control theory
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