Design for nonlinear networked control systems with time delay governed by Markov chain with partly unknown transition probabilities. (English) Zbl 1394.93306
Summary: The problem of state feedback control for a class of nonlinear networked control systems with time delay is discussed in this paper. The time delay is modeled as a finite state Markov chain of which transition probabilities are partly unknown. The closed-loop system model is obtained by means of state augmentation. A sufficient condition is given which guarantees the stochastic stability of the closed-loop system in the form of linear matrix inequalities and the maximum bound of the nonlinearity is also obtained. Finally, a simulation example is used to show the validity of the proposed method.
MSC:
| 93E03 | Stochastic systems in control theory (general) |
| 93D15 | Stabilization of systems by feedback |
| 93E15 | Stochastic stability in control theory |
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