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

• Published in: Journal of the Franklin Institute Vol. 354; no. 9; pp. 3706 - 3723
• Main Authors: Song, Jun, Niu, Yugang, Wang, Shaobo
• Format: Journal Article
• Language: English
• Published: Elmsford Elsevier Ltd 01.06.2017; Elsevier Science Ltd
• Subjects: Algorithms; Communication networks; Controllers; Dissipation; Fading; Feedback control; Mathematical models; Mobile communications networks; Robust control; Robustness (mathematics); Stochastic models; Stochastic systems; Wireless communications; Wireless networks
• ISSN: 0016-0032; 1879-2693; 0016-0032
• DOI: 10.1016/j.jfranklin.2016.07.020

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.