Overview

This book is about nonlinear observability. It provides a modern theory of observability based on a new paradigm borrowed from theoretical physics and the mathematical foundation of that paradigm. In the case of observability, this framework takes into account the group of invariance that is inherent to the concept of observability, allowing the reader to reach an intuitive derivation of significant results in the literature of control theory. The book provides a complete theory of observability and, consequently, the analytical solution of some open problems in control theory. Notably, it presents the first general analytic solution of the nonlinear unknown input observability (nonlinear UIO), a very complex open problem studied in the 1960s. Based on this solution, the book provides examples with important applications for neuroscience, including a deep study of the integration of multiple sensory cues from the visual and vestibular systems for self-motion perception. A New Theory Based on the Group of Invariance is the only book focused solely on observability. It provides readers with many applications, mostly in robotics and autonomous navigation, as well as complex examples in the framework of vision-aided inertial navigation for aerial vehicles. For these applications, it also includes all the derivations needed to separate the observable part of the system from the unobservable, an analysis with practical importance for obtaining the basic equations for implementing any estimation scheme or for achieving a closed-form solution to the problem.

Full Product Details

9781611976243

Table of Contents

Reviews

Author Information

Agostino Martinelli is a researcher at Institut National de Recherche en Informatique et en Automatique (INRIA) in France. He has contributed to various scientific fields by achieving the analytical solution of three fundamental open problems: the closed form solution to visual-inertial structure from motion, the complete analytic solution to the Brownian unicycle dynamics, and the general analytic solution to the nonlinear unknown input observability problem. His current research focuses on visual-Inertial sensor fusion and nonlinear observability.

Tab Content 6

Customer Reviews

Recent Reviews

Countries Available