Delay-Dependent H∞ Control for Networked Control Systems with Large Delays

Abstract EN

We consider the problems of robust stability and H∞ control for a class of networked control systems with long-time delays.

Firstly, a nonlinear discrete time model with mode-dependent time delays is proposed by converting the uncertainty of time delay into the uncertainty of parameter matrices.

We consider a probabilistic case where the system is switched among different subsystems, and the probability of each subsystem being active is defined as its occurrence probability.

For a switched system with a known subsystem occurrence probabilities, we give a stochastic stability criterion in terms of linear matrix inequalities (LMIs).

Then, we extend the results to a more practical case where the subsystem occurrence probabilities are uncertain.

Finally, a simulation example is presented to show the efficacy of the proposed method.