1.

Record Nr.

UNINA9910591036903321

Autore

Lee Hong-Gi

Titolo

Linearization of Nonlinear Control Systems / / by Hong-Gi Lee

Pubbl/distr/stampa

Singapore : , : Springer Nature Singapore : , : Imprint : Springer, , 2022

ISBN

9789811936432

9789811936425

Edizione

[1st ed. 2022.]

Descrizione fisica

1 online resource (591 pages)

Collana

Mathematics and Statistics Series

Disciplina

512.55

Soggetti

Automatic control

System theory

Control theory

Algebras, Linear

Control and Systems Theory

Systems Theory, Control

Linear Algebra

Lingua di pubblicazione

Inglese

Formato

Materiale a stampa

Livello bibliografico

Monografia

Note generali

Includes index.

Nota di contenuto

1 Introduction -- 2 Basic Mathematics for Linearization -- 3 Linearization by State Transformation -- 4 Feedback Linearization -- 5 Linearization with Output Equation -- 6 Dynamic Feedback Linearization -- 7 Linearization of Discrete-time Systems -- 8 Observer Error Linearization -- 9 Input-output Decoupling.

Sommario/riassunto

This textbook helps graduate level student to understand easily the linearization of nonlinear control system. Differential geometry is essential to understand the linearization problems of the control nonlinear systems. In this book, the basics of differential geometry, needed in linearization, are explained on the Euclean space instead of the manifold for the students who are not accustomed to differential geometry. Many Lie algebra formulas, used often in linearization, are also provided with proof. The conditions in the linearization problems are complicated to check because the Lie bracket calculation of vector fields by hand needs much concetration and time. This book provides the MATLAB programs for most of the theorems.