This book offers a comprehensive collection of state-space-based numerical algorithms for synthesizing feedback algorithms in linear systems with input saturation, specifically tackling the anti-windup problem. It outlines the objectives and terminology associated with this issue, alongside the mathematical tools necessary for anti-windup algorithms. More than twenty algorithms for anti-windup synthesis are presented, complete with illustrative examples. The authors, Luca Zaccarian and Andrew Teel, employ a modern method that integrates a state-space approach with algorithms derived from solving linear matrix inequalities, effectively addressing both MIMO and SISO systems. Targeted at control engineers and graduate students, the content ranges from basic anti-windup construction to advanced algorithms for nonlinear systems. Key features include a clear explanation of the fundamental objectives and principles of anti-windup synthesis, the application of linear matrix inequalities solvable with common software, and the use of nonlinear performance curves to assess performance against varying disturbances. Additionally, the book includes anti-windup algorithms for Euler-Lagrange nonlinear systems and provides an extensive annotated bibliography tracing the history of anti-windup research.
