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 HermiteBiehler 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.

Shows the reader a novel method for optimising PID controllers Takes account of real-world contstraints Brings modern research closer to the practical application of control

Zusammenfassung
This text on the structure and synthesis of PID controllers covers such subjects as: techniques for PID controller design; the Hermite-Biehler theorem and its generalization; stabilization of linear time-invariant plants using PID controllers; and optimal design using PID controllers.

Inhalt

1. Overview of Control Systems.- 2. Some Current Techniques for PID Controller Design.- 3. The Hermite-Biehler Theorem and Its Generalization.- 4. Stabilization of Linear Time-invariant Plants Using PID Controllers.- 5. Optimal Design Using PID Controllers.- 6. Robust and Non-fragile PID Controller Design.- 7. Stabilization of First-order Systems with Time Delay.- 8. Constant Gain Stabilization with Desired Damping.- 9. Constant Gain Stabilization of Discrete-time Plants.- References.