Algorithms of Estimation for Nonlinear Systems

A Differential and Algebraic Viewpoint

Nonfiction, Science & Nature, Science, Physics, Chaotic Behavior, Technology, Engineering, Mechanical, Mathematics
Cover of the book Algorithms of Estimation for Nonlinear Systems by Rafael Martínez-Guerra, Christopher Diego Cruz-Ancona, Springer International Publishing
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Author: Rafael Martínez-Guerra, Christopher Diego Cruz-Ancona ISBN: 9783319530406
Publisher: Springer International Publishing Publication: April 4, 2017
Imprint: Springer Language: English
Author: Rafael Martínez-Guerra, Christopher Diego Cruz-Ancona
ISBN: 9783319530406
Publisher: Springer International Publishing
Publication: April 4, 2017
Imprint: Springer
Language: English

This book acquaints readers with recent developments in dynamical systems theory and its applications, with a strong focus on the control and estimation of nonlinear systems.

Several algorithms are proposed and worked out for a set of model systems, in particular so-called input-affine or bilinear systems, which can serve to approximate a wide class of nonlinear control systems. These can either take the form of state space models or be represented by an input-output equation.

The approach taken here further highlights the role of modern mathematical and conceptual tools, including differential algebraic theory, observer design for nonlinear systems and generalized canonical forms.

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This book acquaints readers with recent developments in dynamical systems theory and its applications, with a strong focus on the control and estimation of nonlinear systems.

Several algorithms are proposed and worked out for a set of model systems, in particular so-called input-affine or bilinear systems, which can serve to approximate a wide class of nonlinear control systems. These can either take the form of state space models or be represented by an input-output equation.

The approach taken here further highlights the role of modern mathematical and conceptual tools, including differential algebraic theory, observer design for nonlinear systems and generalized canonical forms.

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