H ∞ control for network control systems with stochastic sampling

This paper investigates the H ∞ control problem for the networked control systems with stochastic sampling. The network topology structure is CAN network owing to the fact that network-induced delay is always less than a sampling period and event driven is supported in CAN network. The continuous-time model with a variable satisfying a Bernoulli distribution is established for network control systems with stochastic sampling by employing the input-delay approach. Based on this, sufficient conditions are obtained, which guarantee the mean-square exponential stability of the system with an H ∞ performance. Moreover, an H ∞ controller design procedure is proposed. The simulation shows the validity of the control strategy and less conservatism.