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.