Asynchronous H∞ filtering for nonlinear persistent dwell-time switched singular systems with measurement quantization

Abstract

This paper deals with the asynchronous H∞ filtering problem for a class of discrete-time switched nonlinear singular systems with measurement quantization. The switching of the filter is supposed to have a lag to the switching of the system modes, and both of the switchings are governed by persistent dwell-time switching (PDTS) regularity. By resorting to T-S fuzzy method, the complex nonlinear system can be modeled precisely by a set of local linear models. In addition, considering the limited communication capacity of networks, the measurement output is quantized before being transmitted to the filter. The main attention of this paper is focused on constructing an asynchronous filter which can ensure that the investigated filtering error system is exponentially admissible with a prescribed H∞ performance. By virtue of some improved inequalities and reasonable matrix decoupling techniques, sufficient conditions based on linear matrix inequalities are presented. It should be noted that, superior to some existing results on PDTS systems, the Lyapunov functions are allowed to increase not only at switching instant, but also during part of subsystem’s operation time. Therefore, the conditions obtained in this paper may have less conservatism. Finally, an illustrative example is provided to verify the effectiveness of the proposed scheme.