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Analytical Design of PID Controllers

  • Iván D. Díaz-Rodríguez
  • Sangjin Han
  • Shankar P. Bhattacharyya
Book

Table of contents

  1. Front Matter
    Pages i-xii
  2. Iván D. Díaz-Rodríguez, Sangjin Han, Shankar P. Bhattacharyya
    Pages 1-34
  3. Computation of PID Stabilizing Sets

    1. Front Matter
      Pages 35-35
    2. Iván D. Díaz-Rodríguez, Sangjin Han, Shankar P. Bhattacharyya
      Pages 37-78
    3. Iván D. Díaz-Rodríguez, Sangjin Han, Shankar P. Bhattacharyya
      Pages 79-95
    4. Iván D. Díaz-Rodríguez, Sangjin Han, Shankar P. Bhattacharyya
      Pages 97-122
    5. Iván D. Díaz-Rodríguez, Sangjin Han, Shankar P. Bhattacharyya
      Pages 123-151
  4. Robust Design Based on Gain and Phase Margins

    1. Front Matter
      Pages 153-153
    2. Iván D. Díaz-Rodríguez, Sangjin Han, Shankar P. Bhattacharyya
      Pages 155-200
    3. Iván D. Díaz-Rodríguez, Sangjin Han, Shankar P. Bhattacharyya
      Pages 201-215
    4. Iván D. Díaz-Rodríguez, Sangjin Han, Shankar P. Bhattacharyya
      Pages 217-231
  5. $$H_\infty $$ Optimal PID Control

    1. Front Matter
      Pages 233-233
    2. Iván D. Díaz-Rodríguez, Sangjin Han, Shankar P. Bhattacharyya
      Pages 235-249
    3. Iván D. Díaz-Rodríguez, Sangjin Han, Shankar P. Bhattacharyya
      Pages 251-260
  6. Back Matter
    Pages 261-302

About this book

Introduction

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. 

Keywords

PID Control Robust Control Gain and Phase Margins H-infinity Design Multi-objective Design Multi-variable PID Design

Authors and affiliations

  1. 1.McAllen Higher Education CenterTexas A&M UniversityMcallenUSA
  2. 2.Electrical and Computer EngineeringTexas A&M UniversityCollege StationUSA
  3. 3.Electrical and Computer EngineeringTexas A&M UniversityCollege StationUSA

Bibliographic information