Robust Control for Uncertain Networked Control Systems With Random Delays

"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.

From the reviews:

“This book concerns the analysis and design of networked control systems (NCSs) when the communication delays are varying in a random way. The book is entirely self-contained and no knowledge of NCSs is assumed. ... Each chapter is accompanied by a numerical example which demonstrates the effectiveness of the methods described in the chapter. This book is well written and details recent progress in the analysis of NCSs in a self-contained and accessible way.”­­­ (María J. Garrido-Atienza, Mathematical Reviews, Issue 2010 i)