Energy-efficient H∞ filtering over wireless networked systems-A Markovian system approach

This paper is concerned with the energy-efficient filtering over wireless networked systems, and a Markovian system approach is proposed to achieve this goal. Firstly, the local measurement is stochastically sampled under nonuniform sampling periods, then the measurement size reduction scheme is applied and only one element of measurement is stochastically selected for quantization. Then, a stochastic transmission protocol is introduced to further save power. Based on the Markovian system approach, a new model is presented for the nonuniform sampling, the measurement size reduction, the signal quantization and the stochastic signal transmission. Sufficient conditions are obtained such that the filtering error system is exponentially stable in the mean-square sense with a prescribed H∞ performance level. A simulation study is given to show the effectiveness of the proposed new design technique.