Robust finite-time dissipative control subject to randomly occurring uncertainties and stochastic fading measurements

This study considers the finite-time dissipative control problem for a class of discrete stochastic systems under the circumstance of wireless communication networks, in which both randomly occurring uncertainties and stochastic fading measurements are involved. A modified stochastic Rice fading model with disturbance-dependent Gaussian noise is put forward to better reflect the fading phenomena in complex wireless communication networks. By introducing a novel concept of finite-time stochastic exponential dissipative, this work designs a state-feedback controller such that the closed-loop system is finite-time stochastic bounded with a prescribed exponential dissipativity performance. Moreover, some parameters-dependent sufficient conditions on the existence of the finite-time dissipative controller are derived and the corresponding computation algorithm is given. A numerical example is finally provided to illustrate the effectiveness of the proposed design approach.