Stabilization of networked control Markovian jump linear systems with unobservable jump parameter

In this paper, the problem of stabilization of networked control Markovian jump linear systems with unobservable jump parameter is considered. The model of the networked control Markovian jump linear systems with unobservable jump parameter is first proposed. Then the sample data adaptive control is got, which is formed basing on both the estimation of the jump parameter and the state information at the sampling instant. The stability of the closed-loop networked control Markovian jump linear system under the sample data adaptive control is studied. Finally the sufficient condition, involving the data packet loss rate, network induced time delay and sample step size, is obtained to ensure the stability of the closed-loop system. An illustrative numerical example is provided to demonstrate the effectiveness of the proposed approach.