Deterministic observation theory and applications / Jean-Paul Gauthier, Ivan Kupka.

Format:

Book

Author/Creator:

Gauthier, Jean-Paul, author.

Kupka, Ivan, 1937- author.

Language:

English

Subjects (All):

Observers (Control theory).

Missing observations (Statistics).

Physical Description:

1 online resource (x, 226 pages) : digital, PDF file(s).

Edition:

1st ed.

Other Title:

Deterministic Observation Theory & Applications

Place of Publication:

Cambridge : Cambridge University Press, 2001.

Language Note:

English

Summary:

This 2001 book presents a general theory as well as a constructive methodology to solve 'observation problems', that is, reconstructing the full information about a dynamical process on the basis of partial observed data. A general methodology to control processes on the basis of the observations is also developed. Illustrative but also practical applications in the chemical and petroleum industries are shown. This book is intended for use by scientists in the areas of automatic control, mathematics, chemical engineering and physics.

Contents:

Systems under Consideration

What Is Observability?

The New Observability Theory Versus the Old Ones

Observability and Observers

Observability Concepts

Infinitesimal and Uniform Infinitesimal Observability

The Canonical Flag of Distributions

The Phase-Variable Representation

Differential Observability and Strong Differential Observability

The Trivial Foliation

Appendix: Weak Controllability

The Case d[subscript y] [less than or equal] d[subscript u]

Relation Between Observability and Infinitesimal Observability

Normal Form for a Uniform Canonical Flag

Characterization of Uniform Infinitesimal Observability

Complements

Proof of Theorem 3.2

The Case d[subscript y]] d[subscript u]

Definitions and Notations

Statement of Our Differential Observability Results

Proof of the Observability Theorems

Equivalence between Observability and Observability for Smooth Inputs

The Approximation Theorem

Singular State-Output Mappings

Assumptions and Definitions

The Ascending Chain Property

The Key Lemma

The ACP(N) in the Controlled Case

Globalization

The Controllable Case

Observers: The High-Gain Construction

Definition of Observer Systems and Comments

The High-Gain Construction

Dynamic Output Stabilization and Applications

Dynamic Output Stabilization

The Case of a Uniform Canonical Flag

The General Case of a Phase-Variable Representation

Applications

Binary Distillation Columns

Polymerization Reactors.

Notes:

Title from publisher's bibliographic system (viewed on 05 Oct 2015).

Includes bibliographical references (p. 217-220) and index.

ISBN:

1-107-12389-5

0-521-18386-3

0-511-17475-6

0-511-15477-1

1-280-43347-7

0-511-54664-5

9786610433476

0-511-30238-X

0-511-04405-4

OCLC:

559267887