Robust finite-time dissipative control subject to randomly occurring uncertainties and stochastic fading measurements. (English) Zbl 1367.93705
Summary: 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 dissipativity, 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.
MSC:
| 93E15 | Stochastic stability in control theory |
| 93E03 | Stochastic systems in control theory (general) |
| 93C55 | Discrete-time control/observation systems |
| 90B18 | Communication networks in operations research |
| 90B15 | Stochastic network models in operations research |
| 93C73 | Perturbations in control/observation systems |
| 93B52 | Feedback control |
Keywords:
finite-time dissipative control; discrete stochastic systems; wireless communication networks; randomly occurring uncertainties; stochastic fading measurements; state-feedback controllerReferences:
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