Abstract:

The stochastic stability problem of the networked control system(NCS) with the data packet loss and the networkinduced time delay was studied. A concept of equivalent delay was introduced to describe the relationship between the amount of lost data packet as well as the networkinduced time delay and the sampling frequincy. The closedloop NCS was modeled as a discrete time delay jump system with its equivalent delay governed by a Markov chain. The sufficent conditions for the stochastic stability of the system were given using the linear matrix inequality(LMI) and the stochastic stability theory and the dynamic state feedback controllers were derived by solving the LMIs. Numerical examples illustrated the effectiveness and advantage of the proposed method.

Key words: networked control system (NCS), equivalent delay, linear matrix inequality(LMI), stochastic stability