Robust delay-feedback control for discrete-time stochastic interval systems with time-delay and Markovian jumps

Abstract

The robust delay feedback control problems for discrete-time stochastic interval systems(DTSISs) with time-delay and Markovian jumps are studied in this paper. Firstly, the dissipativity for DTSISs with time delay and Markovian jumps is analyzed, then based on this, the robust delay-feedback controller, which includes not only the instantaneous state information but also the delay state information, is designed. Finally, we give a numerical example with simulations to illustrate the correctness of the obtained results and the effectiveness of the designed controller.