Robust H ∞ Control for An Uncertain Wireless Sensor Networks Considering Random Delay and Packets-loss

This paper studies the robust H ∞ control considering random delay and packets-loss related uncertainty in wireless sensor networks (WSNs) systems. The model of a WSNs with uncertain random delay and packets-loss is given first. The networks system stability is proved by the augmented Lyapunov function and the linear matrix inequality (LMIs) method, with its demonstrated H ∞ property. In order to solve the uncertain random time delay and packets-loss, the memory robust H ∞ controller is proposed based on LMIs. A numerical examples and three simulation results verify that the method is effective in solving the random delay and packets-loss of wireless sensor networks.