Algorithms of Estimation for Nonlinear Systems A Differential and Algebraic Viewpoint 1st Edition by Rafael Martínez-Guerra 3319530402 9783319530406

Algorithms of Estimation for Nonlinear Systems A Differential and Algebraic Viewpoint 1st Edition by Rafael Martínez-Guerra – Ebook Instant Download/Delivery ISBN(s): 3319530402, 9783319530406

Product details:

• ISBN 10: 3319530402
• ISBN 13: 9783319530406
• Author: Rafael

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.

Table of contents:

1. Introduction

2. Differential Algebra in Control Theory

3. Algebraic Observability for Nonlinear Systems

4. Generalized Observability Canonical Form

5. Observers for a Class of Nonlinear Systems

6. Observer-Based Local Stabilization and Asymptotic Output Tracking

7. Parametric Identification of Time-Varying Nonlinear Systems

8. More General Nonlinear Systems Case

9. A Separation Principle for Nonlinear Systems

10. Some Other Observers for Nonlinear Systems

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