© 2016

Optimal Operation of Batch Membrane Processes


  • Shows the reader that existing industrial processes can easily be updated to improve economic viability

  • Rigorous model-based approach to optimal control can be extended to accomodate new areas of research

  • Feedback-based strategy allows the reader to cope with uncertainties such as perturbations and model mismatch

  • Exemplary case studies provide examples of the application of the new approaches described

  • MATLAB® files enable the reader to reproduce and adapt the analysis of selected examples


Part of the Advances in Industrial Control book series (AIC)

Table of contents

  1. Front Matter
    Pages i-xxv
  2. Radoslav Paulen, Miroslav Fikar
    Pages 1-25
  3. Radoslav Paulen, Miroslav Fikar
    Pages 27-35
  4. Radoslav Paulen, Miroslav Fikar
    Pages 37-56
  5. Radoslav Paulen, Miroslav Fikar
    Pages 57-82
  6. Radoslav Paulen, Miroslav Fikar
    Pages 83-107
  7. Radoslav Paulen, Miroslav Fikar
    Pages 109-128
  8. Radoslav Paulen, Miroslav Fikar
    Pages 129-141
  9. Radoslav Paulen, Miroslav Fikar
    Pages 143-151
  10. Radoslav Paulen, Miroslav Fikar
    Pages 153-155
  11. Back Matter
    Pages 157-158

About this book


This study concentrates on a general optimization of a particular class of membrane separation processes: those involving batch diafiltration. Existing practices are explained and operational improvements based on optimal control theory are suggested. The first part of the book introduces the theory of membrane processes, optimal control and dynamic optimization. Separation problems are defined and mathematical models of batch membrane processes derived. The control theory focuses on problems of dynamic optimization from a chemical-engineering point of view. Analytical and numerical methods that can be exploited to treat problems of optimal control for membrane processes are described. The second part of the text builds on this theoretical basis to establish solutions for membrane models of increasing complexity. Each chapter starts with a derivation of optimal operation and continues with case studies exemplifying various aspects of the control problems under consideration. The authors work their way from the limiting flux model through increasingly generalized models to propose a simple numerical approach to the general case of optimal operation for batch diafiltration processes. Researchers interested in the modelling of batch processes or in the potential industrial applications of optimal control theory will find this monograph a valuable source of inspiration, instruction and ideas.


Diafiltration Membrane Processes Optimal Control Optimal Operation Pontryagin’s Minimum Principle

Authors and affiliations

  1. 1.Department of Biochemical and Chemical EngineeringTechnische Universität DortmundDortmundGermany
  2. 2.Institute of Information Engineering, Automation and MechanicsSlovak University of Technology in BratislavaBratislavaSlovakia

About the authors

Radoslav Paulen received MSc degree and PhD degrees in Automation from Slovak University of Technology in Bratislava in 2008 and 2012, respectively. Currently, he is a post-doc with the Chair of Process Dynamics and Operations at the Department of Biochemical and Chemical Engineering of Technische Universität Dortmund. He is interested in optimal process control, real-time optimisation, parameter estimation, membrane filtration, emulsion polymerisation.
Miroslav Fikar received his MSc and PhD degrees in Chemical Process Control from the Slovak University of Technology in Bratislava in 1989 and 1994, respectively. He has stayed with the Faculty of Chemical and Food Technology STU where he is currently a professor and institute director. He was Postdoc Fellow in Nancy, France, Alexander von Humboldt Fellow in Bochum, Germany and spent several stays in Denmark, Germany, France, Switzerland. His current research interests include optimal control, MPC, and chemical process control. He is a coauthor of several monographs including Process Modelling, Identification, and Control (Springer, 2007).

Bibliographic information

  • Book Title Optimal Operation of Batch Membrane Processes
  • Authors Radoslav Paulen
    Miroslav Fikar
  • Series Title Advances in Industrial Control
  • Series Abbreviated Title Advances in Industrial Control
  • DOI
  • Copyright Information Springer International Publishing Switzerland 2016
  • Publisher Name Springer, Cham
  • eBook Packages Engineering Engineering (R0)
  • Hardcover ISBN 978-3-319-20474-1
  • Softcover ISBN 978-3-319-37390-4
  • eBook ISBN 978-3-319-20475-8
  • Series ISSN 1430-9491
  • Series E-ISSN 2193-1577
  • Edition Number 1
  • Number of Pages XXV, 158
  • Number of Illustrations 18 b/w illustrations, 42 illustrations in colour
  • Topics Control and Systems Theory
    Water Quality/Water Pollution
    Industrial Chemistry/Chemical Engineering
  • Buy this book on publisher's site
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