Read more
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.
List of contents
Introduction.- Convex Hull Representations.- The Maximal Contractively Invariant Ellipsoids.- Composite Quadratic Lyapunov Functions.- Disturbance Tolerance and Rejection.- Partitioning of the Convex Hull.- Control Systems with an Algebraic Loop.- Generalized Piecewise Quadratic Lyapunov Functions.- Linear Systems with Asymmetric Saturation.- Bibliography.- Index.
Summary
Covers the most recent results on control systems with actuator saturation
Includes numerous step-by-step descriptions of the analysis and design of algorithms
Provides many examples and simulations to illustrate the effectiveness of results presented
All-new results not yet covered elsewhere in the literature
Additional text
“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)
Report
"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)
