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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 saturation Takes a modern, state-space approach to synthesis that applies to both SISO and MIMO systems Presents algorithms as linear matrix inequalities that can be readily solved with widely available software Explains mathematical concepts that motivate synthesis algorithms Uses nonlinear performance curves to quantify performance relative to disturbances of varying magnitudes Includes anti-windup algorithms for a class of Euler-Lagrange nonlinear systems Traces the history of anti-windup research through an extensive annotated bibliography

Automatic control --- Linear control systems. --- Actuators. --- Mathematical models. --- Euler-Lagrange system. --- F8 aircraft. --- MIMO. --- SISO. --- algebraic loop. --- anti-windup algorithm. --- anti-windup augmentation. --- anti-windup compensator. --- anti-windup construction. --- anti-windup design. --- anti-windup filter. --- anti-windup synthesis. --- anti-windup. --- bumpless authority transfer. --- closed loop. --- compensation. --- constrained closed loop. --- controller. --- damped mass-spring. --- dead-time plant. --- direct control design. --- direct linear anti-windup. --- dynamic direct linear anti-windup. --- exponentially stable plant. --- exponentially unstable plant. --- external stability. --- feedback algorithm. --- feedback loop. --- feedback signal. --- global performance. --- global stability. --- hardware redundancy. --- input saturation. --- input. --- inputЯutput stability. --- internal stability. --- internal state. --- linear controller. --- linear injection. --- linear matrix inequalities. --- linear model recovery anti-windup. --- linear system. --- measurement governor. --- model predictive control. --- model recovery anti-windup. --- multicontroller scheme. --- nested saturation. --- non-exponentially unstable plant. --- nonlinear gain. --- nonlinear injection. --- nonlinear plant. --- nonlinear synthesis technique. --- nonlinear system. --- numerical algorithm. --- quadratic function. --- rank-deficient matrices. --- reduced-order compensator. --- reference governor. --- regional stability. --- reliable control. --- saturated closed loop. --- saturated closed-loop system. --- saturation nonlinearity. --- saturation. --- scheduling. --- servo-positioning system. --- small signal preservation. --- stability. --- stabilizer. --- state-space approach. --- stateгpace representation. --- static linear anti-windup. --- switching. --- unconstrained closed loop. --- unconstrained closed-loop system. --- unconstrained controller. --- unconstrained feedback system. --- unconstrained plant. --- unconstrained response recovery. --- unconstrained response. --- windup.