Quantitative Process Control Theory: 1st Edition (Paperback) book cover

Quantitative Process Control Theory

1st Edition

By Weidong Zhang

CRC Press

473 pages | 183 B/W Illus.

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Quantitative Process Control Theory explains how to solve industrial system problems using a novel control system design theory. This easy-to-use theory does not require designers to choose a weighting function and enables the controllers to be designed or tuned for quantitative engineering performance indices such as overshoot.

In each chapter, a summary highlights the main problems and results and exercises improve and test your understanding of the material. Mathematical proofs are provided for almost all the results while examples are based on actual situations in industrial plants involving a paper-making machine, heat exchanger, hot strip mill, maglev, nuclear reactor, distillation column/heavy oil fractionator, jacket-cooled reactor, missile, helicopter/plane, and anesthesia.

Developed from the author’s many years of research, this book takes a unique, practical approach for efficiently solving single-input and single-output (SISO) and multiple-input and multiple-output (MIMO) control system design issues for quantitative performance indices. With much of the material classroom-tested, the text is suitable for advanced undergraduate and graduate students in engineering, beginning researchers in robust control, and more seasoned engineers wanting to learn new design techniques.

Table of Contents


A Brief History of Control Theory

Design of Feedback Control Systems

Consideration on Control System Design

What This Book Is About

Classical Analysis Methods

Process Dynamic Responses

Rational Approximations of Time Delay

Time Domain Performance Indices

Frequency Response Analysis

Transformation of Two Commonly Used Models

Design Requirements and Controller Comparison

Essentials of the Robust Control Theory

Norms and System Gains

Internal Stability and Performance

Controller Parameterization

Robust Stability and Robust Performance

Robustness of the System with Time Delay

H PID Controllers for Stable Plants

Traditional Design Methods

H PID Controller for the First-Order Plant

The H PID Controller and the Smith Predictor

Quantitative Performance and Robustness

H PID Controller for the Second-Order Plant

All Stabilizing PID Controllers for Stable Plants

H2 PID Controllers for Stable Plants

H2 PID Controller for the First-Order Plant

Quantitative Tuning of H2 PID Controller

H2 PID Controller for the Second-Order Plant

Control of Inverse Response Processes

PID Controller Based on the Maclaurin Series Expansion

PID Controller with the Best Achievable Performance

Choice of the Filter

Control of Stable Plants

The Quasi-H Smith Predictor

The H2 Optimal Controller and the Smith Predictor

Equivalents of the Optimal Controller

PID Controller and High-Order Controllers

Choice of the Weighting Function

Simplified Tuning for Quantitative Robustness

Control of Integrating Plants

Feature of Integrating Systems

H PID Controller for Integrating Plants

H2 PID Controller for Integrating Plants

Controller Design for General Integrating Plants

Maclaurin PID Controller for Integrating Plants

The Best Achievable Performance of a PID Controller

Control of Unstable Plants

Controller Parameterization for General Plants

H PID Controller for Unstable Plants

H2 PID Controller for Unstable Plants

Performance Limitation and Robustness

Maclaurin PID Controller for Unstable Plants

PID Design for the Best Achievable Performance

All Stabilizing PID Controllers for Unstable Plants

Complex Control Strategies

The 2DOF Structure for Stable Plants

The 2DOF Structure for Unstable Plants

Cascade Control

An Anti-Windup Structure

Feedforward Control

Optimal Input Disturbance Rejection

Control of Plants with Multiple Time Delays

Analysis of MIMO Systems

Zeros and Poles of a MIMO Plant

Singular Values

Norms for Signals and Systems

Nominal Stability and Performance

Robust Stability of MIMO Systems

Robust Performance of MIMO Systems

Classical Design Methods for MIMO Systems

Interaction Analysis

Decentralized Controller Design

Decoupler Design

Quasi-H Decoupling Control

Diagonal Factorization for Quasi- H Control

Quasi- H Controller Design

Analysis for Quasi- H Control Systems

Increasing Time Delays for Performance Improvement

A Design Example for Quasi- H Control

Multivariable PID Controller Design

H2 Decoupling Control

Controller Parameterization for MIMO Systems

Diagonal Factorization for H2 Control

H2 Optimal Decoupling Control

Analysis for H2 Decoupling Control Systems

Design Examples for H2 Decoupling Control

Multivariable H2 Optimal Control

Factorization for Simple RHP Zeros

Construction Procedure of Factorization

Factorization for Multiple RHP Zeros

Analysis and Computation

Solution to the H2 Optimal Control Problem

Filter Design

Examples for H2 Optimal Controller Designs



A Summary, Exercises, Notes, and References appear at the end of each chapter.

About the Author

Weidong Zhang is a professor at Shanghai Jiaotong University. Dr. Zhang has authored more than 200 refereed papers and holds 15 patents. His research interests include control theory and its applications, embedded systems, and wireless sensor networks.

About the Series

Automation and Control Engineering

Learn more…

Subject Categories

BISAC Subject Codes/Headings:
SCIENCE / Chemistry / Industrial & Technical
TECHNOLOGY & ENGINEERING / Electronics / General