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.
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