Analytical Design of PID Controllers

✍ Scribed by Iván D. Díaz-Rodríguez, Sangjin Han, Shankar P. Bhattacharyya

• Publisher: Springer International Publishing
• Year: 2019
• Tongue: English
• Leaves: 304
• Edition: 1st ed.
• Category: Library

✦ Synopsis

This monograph presents a new analytical approach to the design of proportional-integral-derivative (PID) controllers for linear time-invariant plants. The authors develop a computer-aided procedure, to synthesize PID controllers that satisfy multiple design specifications. A geometric approach, which can be used to determine such designs methodically using 2- and 3-D computer graphics is the result.

The text expands on the computation of the complete stabilizing set previously developed by the authors and presented here. This set is then systematically exploited to achieve multiple design specifications simultaneously. These specifications include classical gain and phase margins, time-delay tolerance, settling time and H-infinity norm bounds. The results are developed for continuous- and discrete-time systems. An extension to multivariable systems is also included.

Analytical Design of PID Controllers provides a novel method of designing PID controllers, which makes it ideal for both researchers and professionals working in traditional industries as well as those connected with unmanned aerial vehicles, driverless cars and autonomous robots.

✦ Table of Contents

Front Matter ....Pages i-xii
Introduction to Control (Iván D. Díaz-Rodríguez, Sangjin Han, Shankar P. Bhattacharyya)....Pages 1-34
Front Matter ....Pages 35-35
Stabilizing Sets for Linear Time-Invariant Continuous-Time Plants (Iván D. Díaz-Rodríguez, Sangjin Han, Shankar P. Bhattacharyya)....Pages 37-78
Stabilizing Sets for Ziegler–Nichols Plants (Iván D. Díaz-Rodríguez, Sangjin Han, Shankar P. Bhattacharyya)....Pages 79-95
Stabilizing Sets for Linear Time-Invariant Discrete-Time Plants (Iván D. Díaz-Rodríguez, Sangjin Han, Shankar P. Bhattacharyya)....Pages 97-122
Computation of Stabilizing Sets from Frequency Response Data (Iván D. Díaz-Rodríguez, Sangjin Han, Shankar P. Bhattacharyya)....Pages 123-151
Front Matter ....Pages 153-153
Gain and Phase Margin-Based Design for Continuous-Time Plants (Iván D. Díaz-Rodríguez, Sangjin Han, Shankar P. Bhattacharyya)....Pages 155-200
Gain–Phase Margin-Based Design of Discrete-Time Controllers (Iván D. Díaz-Rodríguez, Sangjin Han, Shankar P. Bhattacharyya)....Pages 201-215
PID Control of Multivariable Systems (Iván D. Díaz-Rodríguez, Sangjin Han, Shankar P. Bhattacharyya)....Pages 217-231
Front Matter ....Pages 233-233
(H_\infty ) Optimal Synthesis for Continuous-Time Systems (Iván D. Díaz-Rodríguez, Sangjin Han, Shankar P. Bhattacharyya)....Pages 235-249
(H_\infty ) Optimal Synthesis for Discrete-Time Systems (Iván D. Díaz-Rodríguez, Sangjin Han, Shankar P. Bhattacharyya)....Pages 251-260
Back Matter ....Pages 261-302

✦ Subjects

Engineering; Control; Industrial Chemistry/Chemical Engineering; Systems Theory, Control; Aerospace Technology and Astronautics