Stability and Performance of Control Systems with Actuator Saturation von Yuanlong Li | ISBN 9783319642468

Stability and Performance of Control Systems with Actuator Saturation

von Yuanlong Li und Zongli Lin
Mitwirkende
Autor / AutorinYuanlong Li
Autor / AutorinZongli Lin
Buchcover Stability and Performance of Control Systems with Actuator Saturation | Yuanlong Li | EAN 9783319642468 | ISBN 3-319-64246-4 | ISBN 978-3-319-64246-8

“This book deals with the stability and performance of control systems subject to actuator saturations. … The book will be useful for researchers in control engineering and applied mathematics. A preliminary knowledge in the basics of control theory and linear matrix inequality technique in control is needed to fully understand the material in the book.” (Germain Garcia, Mathematical Reviews, February, 2019)

Stability and Performance of Control Systems with Actuator Saturation

von Yuanlong Li und Zongli Lin
Mitwirkende
Autor / AutorinYuanlong Li
Autor / AutorinZongli Lin

This monograph investigates the stability and performance of control systems subject to actuator saturation. It presents new results obtained by both improving the treatment of the saturation function and constructing new Lyapunov functions.  In particular, two improved treatments of the saturation function are described that exploit the intricate structural properties of its traditional convex hull representation.  The authors apply these treatments to the estimation of the domain of attraction and the finite-gain L 2 performance by using the quadratic Lyapunov function and the composite quadratic Lyapunov function. Additionally, an algebraic computation method is given for the exact determination of the maximal contractively invariant ellipsoid, a level set of a quadratic Lyapunov function.

The authors conclude with a look at some of the problems that can be solved by the methods developed and described throughout the book. Numerous step-by-step descriptions, examples, and simulations are provided to illustrate the effectiveness of their results. Stability and Performance of Control Systems with Actuator Saturation will be an invaluable reference for graduate students, researchers, and practitioners in control engineering and applied mathematics.