Robust Control for Uncertain Networked Control Systems with Random
Delays addresses the problem of analysis and design of networked
control systems when the communication delays are varying in a random
fashion. The random nature of the time delays is typical for
commercially used networks, such as a DeviceNet (which is a controller
area network) and Ethernet network.
The main technique used in this book is based on the Lyapunov-Razumikhin
method, which results in delay-dependent controllers. The existence of
such controllers and fault estimators are given in terms of the
solvability of bilinear matrix inequalities. Iterative algorithms are
proposed to change this non-convex problem into quasi-convex
optimization problems, which can be solved effectively by available
mathematical tools. Finally, to demonstrate the effectiveness and
advantages of the proposed design method in the book, numerical examples
are given in each designed control system.