Control in Bioprocessing

Pablo Antonio López Pérez, PhD, is Professor at Escuela Superior de Apan, Universidad Autónoma del Estado de Hidalgo, México. His research focuses on Modeling, simulation and nonlinear control of Reactors, Bioreactors and Photobioreactors.Ricardo Aguilar López, PhD is Professor at the Department of Biotechnology and Bioengineering, Center for Research and Advanced Studies (Cinvestav), México. His research interests include modeling of biosystems and bioprocesses, dynamic analysis in bioreactors and design of nonlinear control schemes applied to biological systems, as well as the development of online bioprocess monitoring schemes.Ricardo Femat, PhD was the General Director of the Institute for Scientific and Technological Research of San Luis Potosi (IPICYT), and a Professor in the Department of Applied Mathematics in México. His research interests include (i) analysis, characterization and control of systems with complex dynamics, (ii) the regulation of glucose level in diabetics and (iii) the control of processes with reaction and diffusion.

• Preface xiPart I Overview of the Control and Monitoring of Bioprocesses and Mathematical Preliminaries 11 Introduction 31.1 Overview of the Control and Monitoring of Bioprocesses 31.2 Improvements to Bioprocesses Productivity 131.3 Bioprocess Control 221.4 Process Measurements 321.5 Dynamic Bioprocess Models 40 1.6 Process Optimization 51References 532 Mathematical Preliminaries 632.1 Systems of Ordinary Differential Equations 632.2 Linear Systems 702.3 Nonlinear Dynamical Systems and its Analysis 722.4 Stability Theory via Lyapunov Approach 842.5 Bifurcation Theory 942.6 Overview of Non-Smooth Dynamical Systems 99References 101Part II Observability and Control Concepts 1073 State Estimation and Observers 1093.1 Observability 1093.2 Observer Designs for Linear Structures 1173.3 Observer Designs for Nonlinear Structures 121References 1314 Control of Bioprocess 1354.1 The Control Idea 1354.2 Controllers for Linear Systems 1414.3 Nonlinear Controllers 145References 161Part III Software Sensors and Observer-Based Control Schemes for Bioprocess 1695 Dynamical Behavior of a 3-Dimensional Continuous Bioreactor 1715.1 Introduction 1715.2 Bioreactor Modeling 1735.3 Main Results 1755.4 Concluding Remarks 181References 1826 Observability Analysis Applied to 2D and 3D Bioreactors with Inhibitory and Non-inhibitory Kinetics Models 1856.1 Introduction 1856.2 Materials and Methods 1866.3 Results and Discussion 1886.4 Implementation of a Linear Observer to Check the Results of the Observability Analysis 2006.5 Conclusion 201References 2027 Production System Myco-Diesel for Implementation of “Quality” of the Observability 2057.1 Introduction 2057.2 Methodology 2067.3 Main Results 2087.4 Conclusions 213References 2148 Regulation of a Continuously Stirred Bioreactor via Modeling Error Compensation 2178.1 Introduction 2178.2 Materials and Methods 2198.3 Input–Output Identified Model 2218.4 Control Design 2218.5 Main Results 2258.6 Concluding Remarks 228References 2299 Development of Virtual Sensor Based on the Just-In-Time Model for Monitoring of Biological Control Systems 2339.1 Introduction 2339.2 Materials and Methods 2359.3 On-line Monitoring (Proposed Nonlinear Observer) 2399.4 Such Approaches, Known as Proposed Just-in-Time Modeling “Hybrid Systems” 2429.5 Results 2439.6 Conclusions 249References 25010 Virtual Sensor Design for State Estimation in a Photocatalytic Bioreactor for Hydrogen Production 25510.1 Introduction 25510.2 Material and Methods 25710.3 Mathematical Model Development 25810.4 Virtual Sensor Design 26210.5 Results and Discussion 26510.6 Conclusions 272References 273Index 277