Observability and Identifiability of Nonlinear Systems Driven by Unknown Inputs

Algebraic Solution and Practical Implementation in MATLAB®
Erscheinungsjahr 2027
ISBN: 978-3-032-39261-9
Verlag: Springer

Buch, Englisch, 118 Seiten, Format (B × H): 155 mm x 235 mm

This book provides the first complete algebraic framework for solving two long-standing open problems in systems theory: observability in the presence of unknown inputs and identifiability of time-varying parameters. The framework provides necessary and sufficient conditions, together with constructive algorithms, for solving both problems in general nonlinear systems. The same algebraic framework also introduces the unknown input identifier (UID)-induced normal form, revealing the structural decomposition underlying nonlinear systems with unknown inputs and providing the foundation for unknown-input decoupling and observer design.

The theoretical developments are complemented by a chapter on the TUIO Toolbox for MATLAB®, which enables symbolic observability and identifiability analysis and illustrates the proposed methods with representative examples from biology and engineering. Combining rigorous theory with practical tools, this book provides a valuable resource for researchers and advanced graduate students working on nonlinear systems, control, robotics, computer vision, systems biology, and related fields.

Zielgruppe

Research

Autoren/Hrsg.

Martinelli, Agostino

Fachgebiete

• Interdisziplinäres Wissenschaften Wissenschaften: Forschung und Information Kybernetik, Systemtheorie, Komplexe Systeme
• Mathematik | Informatik EDV | Informatik Informatik Mathematik für Informatiker
• Technische Wissenschaften Technik Allgemein Mathematik für Ingenieure
• Naturwissenschaften Biowissenschaften Angewandte Biologie Bioinformatik
• Mathematik | Informatik Mathematik Numerik und Wissenschaftliches Rechnen Angewandte Mathematik, Mathematische Modelle
• Technische Wissenschaften Elektronik | Nachrichtentechnik Nachrichten- und Kommunikationstechnik Regelungstechnik
• Mathematik | Informatik EDV | Informatik Angewandte Informatik Bioinformatik

Inhaltsverzeichnis

Introduction.- Part I: Theory: Algebraic Solution.- System Characterization.- Observability and Problem Statement.- Solution: Basic Ingredients.- Solution.- Identifiability of Time-Varying Parameters.- Part II: The MATLAB® Toolbox TUIO.- Introduction to the TUIO Toolbox.- Implementing Algorithm 1 in the TUIO Toolbox.- Conclusion.

Über Autor(innen)

Doctor Agostino Martinelli  received the M.Sc. degree in theoretical physics from the university of Rome Tor Vergata, Rome, Italy, in 1994, and the Ph.D. degree in astrophysics from the University of Rome, La Sapienza in 1999. During his Ph.D. studies, he spent one year at the University of Wales, Cardiff, U.K., and another year at the Scuola Internazionale Superiore di Studi Avanzati, Trieste, Italy. His research focused on the chemical and dynamical evolution of elliptical galaxies, quasars, and the intergalactic medium. After completing his Ph.D., his interests shifted toward autonomous navigation. He spent two years at the University of Rome Tor Vergata before joining the autonomous systems laboratory at Ecole Polytechnique Fédérale de Lausanne (EPFL), Switzerland, in 2002, as a senior researcher. Since 2006, he has been a researcher at Inria, Grenoble, France.

Doctor Martinelli is the author of two books and has published over one hundred peer-reviewed articles in journals and conference proceedings.