Abstract: The H∞ control problem for networked control systems(NCSs) based on timevarying sampling periods was studied. Since the successive packetdropouts were driven by an independent finite Markov chain， the NCSs with the networkedinduced delays and packetdropouts were modeled as Markov jump systems by designing the state feedback controller. Aiming at the fact that the packet dropout information was hard to be obtained accurately， namely it did not need to know the transition probabilities completely， the sufficient condition for stochastic stability with H∞ norm bound γhkj was presented on the basis of Lyapunov method. The stabilizing controller was constructed in terms of linear matrix inequalities (LMIs). The results of the numerical examples demonstrated the H∞ performance better than the existing methods.

Key words: networked control systems(NCSs), H∞ control, timevarying sampling periods, partially known transition probabilities, Lyapunov method