Design for Nonlinear Networked Control Systems with Time Delay Governed by Markov Chain with Partly Unknown Transition Probabilities

Abstract EN

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.