State Estimation for Discrete-Time Singular Jump Systems with Non-Accessible Mode Information

Abstract

The mode information of Markovian jumping systems is always not accessible due to unexpected phenomenon such as data packet losses in networked control systems. It is thus extremely desirable to develop mode-independent filtering techniques for Markovian jumping systems. In this paper, a new mode-independent filtering design strategy is presented for a class of discrete-time singular time-delay systems with Markovian jumping parameters. Sufficient conditions are established so that the derived error system is regular, causal and stochastically stable with a prescribed H∞ performance level. In addition, it is illustrated that the proposed results are less conservative numerically than those in the references. Finally, two numerical examples are given to demonstrate the effectiveness of the proposed approaches.