Stability and Performance of Control Systems with Actuator Saturation

✍ Scribed by Yuanlong Li,Zongli Lin (auth.)

• Publisher: Birkhäuser Basel
• Year: 2018
• Tongue: English
• Leaves: 374
• Series: Control Engineering
• Edition: 1
• Category: Library

✦ Synopsis

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 L₂ 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.

✦ Table of Contents

Front Matter ....Pages i-xiv
Introduction (Yuanlong Li, Zongli Lin)....Pages 1-10
Convex Hull Representations (Yuanlong Li, Zongli Lin)....Pages 11-61
The Maximal Contractively Invariant Ellipsoids (Yuanlong Li, Zongli Lin)....Pages 63-109
Composite Quadratic Lyapunov Functions (Yuanlong Li, Zongli Lin)....Pages 111-155
Disturbance Tolerance and Rejection (Yuanlong Li, Zongli Lin)....Pages 157-198
Partitioning of the Convex Hull (Yuanlong Li, Zongli Lin)....Pages 199-238
Control Systems with an Algebraic Loop (Yuanlong Li, Zongli Lin)....Pages 239-285
Generalized Piecewise Quadratic Lyapunov Functions (Yuanlong Li, Zongli Lin)....Pages 287-334
Linear Systems with Asymmetric Saturation (Yuanlong Li, Zongli Lin)....Pages 335-355
Back Matter ....Pages 357-365

✦ Subjects

Systems Theory, Control