**Book Description:**

This book provides a wide variety of state-space--based numerical algorithms for the synthesis of feedback algorithms for linear systems with input saturation. Specifically, it addresses and solves the anti-windup problem, presenting the objectives and terminology of the problem, the mathematical tools behind anti-windup algorithms, and more than twenty algorithms for anti-windup synthesis, illustrated with examples. Luca Zaccarian and Andrew Teel's modern method--combining a state-space approach with algorithms generated by solving linear matrix inequalities--treats MIMO and SISO systems with equal ease. The book, aimed at control engineers as well as graduate students, ranges from very simple anti-windup construction to sophisticated anti-windup algorithms for nonlinear systems.

Describes the fundamental objectives and principles behind anti-windup synthesis for control systems with actuator saturationTakes a modern, state-space approach to synthesis that applies to both SISO and MIMO systemsPresents algorithms as linear matrix inequalities that can be readily solved with widely available softwareExplains mathematical concepts that motivate synthesis algorithmsUses nonlinear performance curves to quantify performance relative to disturbances of varying magnitudesIncludes anti-windup algorithms for a class of Euler-Lagrange nonlinear systemsTraces the history of anti-windup research through an extensive annotated bibliography

**eISBN:**978-1-4008-3902-5

**Subjects:**Mathematics, Technology