1st Edition

Quantitative Process Control Theory

By Weidong Zhang Copyright 2012
    472 Pages 183 B/W Illustrations
    by CRC Press

    472 Pages 183 B/W Illustrations
    by CRC Press

    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.

    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.


    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.