H∞ control for networked switch systems under logic jumping-triggered scheme

The problem of H_∞ control for networked switched system is presented under the full consideration of the effect of network-induced delays, data dropouts and packet disorders. First, a logic zero-order-hold (ZOH) is used to discard the disordered packets actively and to choose the newest packets to drive the controller. The variation characteristic of network-induced delays and data dropouts should be modeled as a time-varying delay with an interval, which can be decomposed into N subintervals and each subintervals shows the variations. Then, the networked switched system can be modeled as a new Markov jumping model with the same jumping rules as network-induced delays and data dropouts. A logic jumping trigger is embedded into the logic ZOH to fulfill the switching of the Markov process. Based on this new Markov jumping model, a sufficient condition, which guarantees the system stable with H_∞ performance, is derived by introducing new Lyapunov-Krasovskii function and free-weighting-matrix. The correspondent H_∞ controller is also designed and a numerical example is also given to show the effectiveness of the proposed method.