Quantitative Process Control Theory

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.

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.

Introduction 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 PlantAll 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 PerformanceAll 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 ZerosAnalysis and Computation Solution to the H2 Optimal Control Problem Filter Design Examples for H2 Optimal Controller Designs

Bibliography
Index

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