Nonlinear Control for Blood Glucose Regulation of Diabetic Patients: An LMI Approach

Nonlinear Control for Blood Glucose Regulation of Diabetic Patients: An LMI Approach

1st Edition - August 13, 2022

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  • Authors: Anirudh Nath, Rajeeb Dey, Valentina Emilia Balas
  • eBook ISBN: 9780323907774
  • Paperback ISBN: 9780323907767

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Nonlinear Control for Blood Glucose Regulation of Diabetic Patients: An LMI-Based Approach exposes readers to the various existing mathematical models that define the dynamics of glucose-insulin for Type 1 diabetes patients. After providing insights into the mathematical model of patients, the authors discuss the need and emergence of new control techniques that can lead to further development of an artificial pancreas. The book presents various nonlinear control techniques to address the challenges that Type 1 diabetic patients face in maintaining their blood glucose level in the safe range (70-180 mg/dl). The closed-loop solution provided by the artificial pancreas depends mainly on the effectiveness of the control algorithm, which acts as the brain of the system. APS control algorithms require a mathematical model of the gluco-regulatory system of the T1D patients for their design. Since the gluco-regulatory system is inherently nonlinear and largely affected by external disturbances and parametric uncertainty, developing an accurate model is very difficult.

Key Features

  • Presents control-oriented modeling of the gluco-regulatory system of Type 1 diabetic patients using input-output data
  • Demonstrates the design of a robust insulin delivery mechanism utilizing state estimation information with parametric uncertainties and exogenous disturbance in the framework of Linear Matrix Inequality (LMI)
  • Introduces readers to the relevance and effectiveness of powerful nonlinear controllers for the Artificial Pancreas
  • Provides the first book on LMI-based nonlinear control techniques for the Artificial Pancreas


Students, educators, and researchers in biomedical engineering and control engineering, and electrical engineering, as well as researchers and diabetic clinicians in labs involved in the development of improved insulin therapy as well as the Artificial Pancreas system. Can be used for graduate-level courses in biomedical control

Table of Contents

  • Section 1: Introduction
    1. The History, Present & Future progression of Artificial Pancreas
    2. Biomedical Control & its importance in Artificial Pancreas
    3. A brief discussion in Nonlinear Control Tools

    Section 2: Type 1 Diabetes: Control Oriented Modelling
    4. A review on the existing Artificial pancreas Models
    5. Developing and validating Nonlinear Models based on Input-Output data

    Section 3: State Estimation via Robust Nonlinear Observers
    6. Mathematical formulation of Robust Nonlinear Observers
    7. State Estimation

    Section 4: Design of Robust Nonlinear Control Techniques
    8. Design of Nonlinear Control Technique based on Feedback Linearization
    9. Design of Robust LMI based Control Techniques
    10. Conclusions

    Section 5: Proposed Architecture for In-Silico Artificial Pancreas
    11. Sensors and Actuators
    12. Integrated (in-silico) Model of Artificial Pancreas

Product details

  • No. of pages: 162
  • Language: English
  • Copyright: © Academic Press 2022
  • Published: August 13, 2022
  • Imprint: Academic Press
  • eBook ISBN: 9780323907774
  • Paperback ISBN: 9780323907767

About the Authors

Anirudh Nath

Rajeeb Dey

Valentina Emilia Balas

Valentina Emilia Balas
Valentina Emilia Balas is currently a Full Professor in the Department of Automatics and Applied Software at the Faculty of Engineering, “Aurel Vlaicu” University of Arad, Romania. She holds a PhD cum Laude in Applied Electronics and Telecommunications from the Polytechnic University of Timisoara. Dr. Balas is the author of more than 350 research papers. She is the Editor-in-Chief of the 'International Journal of Advanced Intelligence Paradigms' and the 'International Journal of Computational Systems Engineering', an editorial board member for several other national and international publications, and an expert evaluator for national and international projects and PhD theses.

Affiliations and Expertise

Full Professor, Department of Automatics and Applied Software, Faculty of Engineering, "Aurel Vlaicu" University of Arad, Arad, Romania

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  • Teja k. Fri Aug 19 2022

    great book for Non linear control systems

    type-1 diabetes patients required insulin rapidly, creating a artificial pancreas is a great idea in medical history.