H∞ filtering of network-based systems with random delays

The H∞ filtering problem is studied for a class of network-based systems with random network-induced delays in discrete-time domain. The considered random delay between the sensor and the filter may be longer than one sampling period and is modeled as a Markov chain. The filtering error system is modeled as a Markovian switched time-delay system and by using a properly constructed Lyapunov function, sufficient conditions for the existence of the H∞ filters are presented in terms of linear matrix inequalities. Convex optimization problem is also formulated to design the desired H∞ filter which guarantees the stochastic stability and an optimal H∞ disturbance attenuation level for the filtering error system. An illustrative example is finally given to prove the effectiveness of the proposed method.