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. The authors seek to start to bridge the resultant gap and present 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 book 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;

* 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.


Adaptive Internal Model Control

by Aniruddha Datta

Published 25 September 1998
Written in a self-contained tutorial fashion, this monograph successfully brings the latest theoretical advances in the design of robust adaptive systems to the realm of industrial applications. It provides a theoretical basis for verifying some of the reported industrial successes of existing adaptive control schemes and enables readers to synthesize adaptive versions of their own robust internal model control schemes.