On designing network-based H∞ controllers for stochastic systems.

This paper is concerned with network-based H ∞ stabilization for stochastic systems, where network-induced delays, packet dropouts, and packet disorders are taken into account simultaneously. The packet disorders arising from both the sampler-to-controller channel and the controller-to-actuator channel are considered by introducing a logic controller and a logic zero-order hold. The network-induced delays and packet dropouts are modeled as a constant delay plus a non-differentiable time-varying delay in the input. By employing Lyapunov-Krasovskii functional approach, we establish results that parallel well-known bounded real Lemmas. More specifically, these results provide conditions to bound the H ∞ level of the system, which means the worst case energy of the output of the system when subjected to a unitary norm deterministic disturbance signal. On the basis of these results, suitable network-based H ∞ controllers are designed by using cone complementary linearization method. An air vehicle system is finally taken as an example to show the effectiveness of the proposed method. [ABSTRACT FROM AUTHOR]