Algorithms of Estimation for Nonlinear Systems

ebook A Differential and Algebraic Viewpoint · Understanding Complex Systems

By Rafael Martínez-Guerra

Algorithms of Estimation for Nonlinear Systems

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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.

Algorithms of Estimation for Nonlinear Systems