Finite-time dissipative filtering for uncertain discrete-time systems with state and disturbance-dependent noise over fading channels

This paper concerns with the finite-time exponential dissipative filtering problem for a class of discrete stochastic system subject to randomly occurring uncertainties and channel fadings. A modified Lth-order Rice fading model is presented to better characterize the multipath fading phenomena in real wireless communication environment. Our objective is to design a filter such that the filtering error system is finite-time stochastic bounded with a prespecified exponential dissipative performance. With the aid of the auxiliary function, a new set of sufficient conditions is derived for the existence of an acceptable filter which can degrade into the conditions for filtering with H-infinity performance. Then, the filter gains are obtained by solving these inequality sufficient conditions. Finally, an illustrative example is given to demonstrate the validity of the proposed approach. (C) 2018 Published by Elsevier Ltd on behalf of ISA.