In many industrial applications, the existing constraints mandate the
use of controllers of low and fixed order while typically, modern
methods of optimal control produce high-order controllers. Structure
and Synthesis of PID Controllers seeks to start to bridge the resultant
gap and presents a novel methodology for the design of low-order
controllers such as those of the P, PI and PID types. Written in a
self-contained and tutorial fashion, this research monograph first
develops a fundamental result, generalizing a classical stability
theorem - the Hermite-Biehler Theorem - and then applies it to designing
controllers that are widely used in industry. It contains material on:
- current techniques for PID controller design;
- generalization of the Hermite-Biehler theorem;
- stabilization of linear time-invariant plants using PID controllers;
- optimal design with PID controllers;
- robust and non-fragile PID controller design;
- stabilization of first-order systems with time delay;
- constant-gain stabilization with desired damping
- constant-gain stabilization of discrete-time plants.
Practitioners, researchers and graduate students should find this book a
valuable source of information on cutting-edge research in the field of
control.