<p>Control theory of nonlinear systems, in which either the linear part is known but the relevant nonlinearities in place, kind or parameters are unknown, or both the linear and the nonlinear parts are partially or even most unknown, is a new, demanding and highly interesting field. This book treats
Observer Design for Nonlinear Systems
β Scribed by Pauline Bernard
- Publisher
- Springer International Publishing
- Year
- 2019
- Tongue
- English
- Leaves
- 185
- Series
- Lecture Notes in Control and Information Sciences 479
- Edition
- 1st ed.
- Category
- Library
No coin nor oath required. For personal study only.
β¦ Synopsis
Observer Design for Nonlinear Systems deals with the design of observers for the large class of nonlinear continuous-time models. It contains a unified overview of a broad range of general designs, including the most recent results and their proofs, such as the homogeneous and nonlinear Luenberger design techniques. The book starts from the observation that most observer designs consist in looking for a reversible change of coordinates transforming the expression of the system dynamics into some specific structures, called normal forms, for which an observer is known. Therefore, the problem of observer design is broken down into three sub-problems: β’ What are the available normal forms and their associated observers?β’ Under which conditions can a system be transformed into one of these forms and through which transformation? β’ How can an inverse transformation that recovers an estimate in the given initial coordinates be achieved? This organisation allows the book to structure results within a united framework, highlighting the importance of the choice of the observer coordinates for nonlinear systems. In particular, the first part covers state-affine forms with their Luenberger or Kalman designs, and triangular forms with their homogeneous high-gain designs. The second part addresses the transformation into linear forms through linearization by output injection or in the context of a nonlinear Luenberger design, and into triangular forms under the well-known uniform and differential observability assumptions. Finally, the third part presents some recently developed methods for avoiding the numerically challenging inversion of the transformation. Observer Design for Nonlinear Systems addresses students and researchers looking for an introduction to or an overview of the state of the art in observer design for nonlinear continuous-time dynamical systems. The book gathers the most important results focusing on a large and diffuse literature on general observer designs with global convergence, and is a valuable source of information for academics and practitioners.
β¦ Table of Contents
Front Matter ....Pages i-xi
Nonlinear Observability and the Observer Design Problem (Pauline Bernard)....Pages 1-13
Front Matter ....Pages 15-15
Introduction (Pauline Bernard)....Pages 17-19
State-Affine Normal Forms (Pauline Bernard)....Pages 21-27
Triangular Forms (Pauline Bernard)....Pages 29-45
Front Matter ....Pages 47-47
Introduction (Pauline Bernard)....Pages 49-52
Transformations into State-Affine Normal Forms (Pauline Bernard)....Pages 53-73
Transformation Into Triangular Forms (Pauline Bernard)....Pages 75-95
Front Matter ....Pages 97-97
Motivation and Problem Statement (Pauline Bernard)....Pages 99-114
Around Problem 8.1: Augmenting an Injective Immersion into a Diffeomorphism (Pauline Bernard)....Pages 115-123
Around Problem 8.2: Image Extension of a Diffeomorphism (Pauline Bernard)....Pages 125-135
Generalizations and Examples (Pauline Bernard)....Pages 137-155
Back Matter ....Pages 157-187
β¦ Subjects
Engineering; Control; Vibration, Dynamical Systems, Control; Communications Engineering, Networks; Systems Theory, Control
π SIMILAR VOLUMES
<p>This book presents a differential geometric method for designing nonlinear observers for multiple types of nonlinear systems, including single and multiple outputs, fully and partially observable systems, and regular and singular dynamical systems. It is an exposition of achievements in nonlinear
<span>This book discusses various methods for designing different kinds of observers, such as the Luenberger observer, unknown input observers, discontinuous observers, sliding mode observers, observers for impulsive systems, observers for nonlinear Takagi-Sugeno fuzzy systems, and observers for ele
This volume presents a well balanced combination of state-of-the-art theoretical results in the field of nonlinear controller and observer design, combined with industrial applications stemming from mechatronics, electrical, (bioβ) chemical engineering, and fluid dynamics. The unique combination of
<P>This volume presents a well balanced combination of state-of-the-art theoretical results in the field of nonlinear controller and observer design, combined with industrial applications stemming from mechatronics, electrical, (bioβ) chemical engineering, and fluid dynamics. The unique combination
<span>This book reports on a set of advances relating to nonlinear observer design, with a special emphasis on high-gain observers. First, it covers the design of filters and their addition to the observer for reducing noise, a topic that has been so far neglected in the literature. Further, it desc