Observer-based $H_{\infty}$ control of discrete-time systems with redundant channels

This paper investigates the problem of observer-based H
_∞
control of discrete-time systems with redundant channels. First, a redundant channel is considered to increase the probability of successfully delivering measurements over the network, and two mutually independent Bernoulli sequences are used to describe the packet dropouts phenomena in the main channel and the redundant channel. Then by constructing a Lyapunov functional, the sufficient condition is obtained to guarantee the closed-loop networked system is stochastically stable with a prescribed H
_∞
performance. Meanwhile, an observer-based controller is designed by solving a strict linear matrix inequality on the basis of employing the singular value decomposition technique. Finally, a simulation example is used to demonstrate the effectiveness of the proposed method.