H∞ Stochastic Control of a Class of Networked Control Systems with Time Delays and Packet Dropouts

Abstract EN

This paper studies the H-infinity stochastic control problem for a class of networked control systems (NCSs) with time delays and packet dropouts.

The state feedback closed-loop NCS is modeled as a Markovian jump linear system.

Through using a Lyapunov function, a sufficient condition is obtained, under which the system is stochastically exponential stability with a desired H-infinity disturbance attenuation level.

The designed H-infinity controller is obtained by solving a set of linear matrix inequalities with some inversion constraints.

An numerical example is presented to demonstrate the effectiveness of the proposed method.