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

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.

• 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

Valentina Emilia Balas is Full Professor in the Department of Automatics and Applied Software, Faculty of Engineering, at Aurel Vlaicu University of Arad, Romania. She holds a PhD in Applied Electronics and Telecommunications from the Polytechnic University of Timisoara. Her research spans intelligent systems, computational intelligence, applied informatics, and engineering applications. Dr. Balas serves as Editor-in-Chief of International Journal of Advanced Intelligence Paradigms and International Journal of Computational Systems Engineering, and is a member of the editorial boards of several international journals. She is actively involved in the evaluation of national and international research projects and doctoral theses, and contributes to scholarly initiatives that support the advancement of intelligent and computational systems research.