Algorithms of Estimation for Nonlinear Systems : A Differential and Algebraic Viewpoint / by Rafael Martínez-Guerra, Christopher Diego Cruz-Ancona.

Format:

• Book

Author/Creator:

• Martínez-Guerra, Rafael., Author.
• Cruz-Ancona, Christopher Diego., Author.

Series:

• Understanding Complex Systems, 1860-0840

Language:

English

Subjects (All):

• Nonlinear optics.
• Multibody systems.
• Vibration.
• Mechanics, Applied.
• Dynamics.
• Mathematical physics.
• Nonlinear Optics.
• Multibody Systems and Mechanical Vibrations.
• Dynamical Systems.
• Theoretical, Mathematical and Computational Physics.

Local Subjects:

• Nonlinear Optics.
• Multibody Systems and Mechanical Vibrations.
• Dynamical Systems.
• Theoretical, Mathematical and Computational Physics.

Physical Description:

1 online resource (XX, 197 p. 58 illus., 10 illus. in color.)

Edition:

1st ed. 2017.

Place of Publication:

Cham : Springer International Publishing : Imprint: Springer, 2017.

Summary:

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.

Contents:

• Preface
• Analysis of input-affine nonlinear processes
• Basic Definitions of Differential Algebras
• Algebraic Observability Condition for Nonlinear systems and External behaviour
• Generalized Observability Canonical Forms
• Observer Synthesis
• Tracking and Stabilization Problems
• Parametric and State Estimation
• Observer synthesis for a more general class of Nonlinear Systems
• A Separation Principle for Nonlinear Systems
• Some uncommon observers with interesting applications
• Appendix A Singularity Treatment
• Appendix B Some properties for Nonlinear Systems.

Notes:

Includes index.

ISBN:

3-319-53040-2