Multi-Parametric Model-Based Control Theory and Applications

by Pistikopoulos, Efstratios N.; Georgiadis, Michael C.; Dua, Vivek

• ISBN13: 9783527316922
• ISBN10: 3527316922
• Edition: 1st
• Format: Hardcover
• Copyright: 2007-04-09
• Publisher: Wiley-VCH

Summary

This volume covers theoretical advances and developments, computational challenges and tools as well as applications in the area of multi-parametric model based control.Part I is concerned with the presentation of algorithms for parametric model based control focusing on: novel frameworks for the derivation of explicit optimal control policies for continuous time-linear dynamic systems new theoretical developments on hybrid model based control methods for obtaining the explicit robust model-based tracking control theoretical frameworks for parametric dynamic optimization and recent developments for continuous-time systemsPart II presents a series of application in the following areas: the incorporation of advanced model based controllers in a simultaneous process design and control framework for complex separation systems the development of advanced model based control techniques for regulating the blood glucose for patients with Type 1 diabetes the design of model predictive and parametric controllers for anesthesia. the development of optimal control policies in a pilot plant exothermic reactorThe volume is intended for academics and researchers that carry out model based control research, industrial practitioners involved in the control of new and existing processes and products, policy makers, as well as for educational purposes both in academia and industry.

Author Biography

Efstratios N. Pistikopoulos is a Professor of Chemical Engineering at Imperial College London and the Director of its Centre for Process Systems Engineering (CPSE). He holds a first degree in Chemical Engineering from Aristotle University of Thessaloniki, Greece and a PhD from Carnegie Mellon University, USA. He has supervised more than twenty PhD students, authored/ co-authored over 150 major research journal publications and been involved in over 50 major research projects and contracts. A co-founder and Director of two successful spin-off companies from Imperial, Process Systems Enterprise (PSE) Limited and Parametric Optimization Solutions (PAROS) Limited, he consults widely to a large number of process industry companies.

Michael C. Georgiadis is a senior researcher in the Centre for Process Systems Engineering at Imperial College London and the manager of academic business development of Process Systems Enterprise Ltd in Thessaloniki, Greece. He holds a first degree in Chemical Engineering from Aristotle University of Thessaloniki and a MSc and PhD from Imperial College. He has authored/ co-authored over 40 journal publications and two books. He has a long experience in the management and participation of more than 20 collaborative research contracts and projects.

Dr. Vivek Dua is a Lecturer in the Department of Chemical Engineering at University College London. He obtained his first degree in Chemical Engineering from Panjab University, Chandigarh, India and MTech in chemical engineering from the Indian Institute of Technology, Kanpur. He joined Kinetics Technology India Ltd. as a Process Engineer before moving to Imperial College London, where he obtained his PhD in Chemical Engineering. He was an Assistant Professor in the Department of Chemical Engineering at Indian Institute of Technology, Delhi before joining University College London. He is a co-founder of Parametric Optimization Solutions (PAROS) Ltd.

Table of Contents

Preface—Volume 2: Muliparametric Model-Based Control

References

List of Authors

Theory

Linear Model Predictive Control via Multiparametric Programming

Introduction

Multiparametric Programming

Model Predictive Control

Multiparametric Quadratic Programming

De.nition of CRrest

Numerical Example

Computational Complexity

Computational Time

Extensions to the Basic MPC Problem

Reference Tracking

Relaxation of Constraints

The Constrained Linear Quadratic Regulator Problem

Conclusions

References

Hybrid Parametric Model-Based Control

Introduction

The Explicit Control Law for Hybrid Systems via Parametric Programming

General Hybrid Systems

Piecewise Linear Systems

The Explicit Control Law for Continuous Time Systems via Parametric Programming

Problem Formulation

Stability Requirements

Solution Procedures

Illustrative Process Example 2.3

Illustrative Biomedical Process Example 2.3.2

Illustrative Mathematical Example 2.3.3

Conclusions

References

Robust Parametric Model-Based Control

Introduction

Robust Parametric Model-Based Control for Systems with Input Uncertainties

Open-Loop Robust Parametric Model Predictive Controller

Parametric Solution of the Inner Maximization Problem

Closed-Loop Robust Parametric Model-Based Control

Reference Tracking Robust Parametric Model-Based Controller

Example—Two State MIMO Evaporator

Robust Parametric Model-Based Control for Systems with Model Parametric Uncertainties

MPC of Parametric Uncertain Linear Systems

Uncertain Matrices

The Robust Counterpart Problem

Example of Two-Dimensional Linear Parametric Uncertain System

Conclusions

References

Parametric Dynamic Optimization

Introduction

Solution Procedure—Theoretical Developments for mp-DO

Control Vector Parametrization

Parameter Representation

Problems Without Path Constraints

Problems with Path Constraints

Illustrative Examples

Example 1: Exothermic CSTR

Example 2: Fluidized Catalytic Cracking Unit

Software Implementation Issues

Concluding Remarks

Critical Parameter Values in Path Constraints

Solution Properties of the mp-DO Algorithm

Convergence Properties of the Direct mp-DO Algorithm

Solution of a Semiin.nite Program

Acknowledgment

References

Continuous-Time Parametric Model-Based Control

Introduction

Linear Continuous-Time MPC

Implicit MPC

Multiparametric Dynamic Optimization

Optimality Conditions

Parametric Control Profile

Algorithm for Solving the mp-DO Problem

Control Implementation

Comparison Between Continuous-Time and Discrete-Time MPC

Examples

Example of a SISO System with One State

Example of a SISO System with Two States

Exten

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