Stabilization of towed cables

Author

Nguyen, Tu Duc ; Egeland, Olav

Author_Institution

Dept. of Eng. Cybern., Norwegian Univ. of Sci. & Technol., Norway

Volume

5

fYear

2004

fDate

14-17 Dec. 2004

Firstpage

5059

Abstract

In this paper, we consider the stabilization problem for towed cables. The dynamics of the cables are described by nonlinear partial differential equations. The dynamics of the depth controllers are given by ordinary differential equations. Based on measurements at the depth controllers, exponential stable control laws are proposed. The stability analysis of the closed loop system is based on Lyapunov theory. The existence and uniqueness of solutions of the closed loop system are based on semigroup theory.

Keywords

Lyapunov methods; asymptotic stability; closed loop systems; control system analysis; differential equations; group theory; nonlinear differential equations; spatial variables control; Lyapunov theory; closed loop system; depth controllers; exponential stable control laws; nonlinear partial differential equations; semigroup theory; stability analysis; stabilization problem; towed cables; Acoustic pulses; Cables; Closed loop systems; Control design; Control systems; Cybernetics; Differential equations; Nonlinear dynamical systems; Sensor arrays; Sonar equipment;

fLanguage

English

Publisher

ieee

Conference_Titel

Decision and Control, 2004. CDC. 43rd IEEE Conference on

ISSN

0191-2216

Print_ISBN

0-7803-8682-5

Type

conf

DOI

10.1109/CDC.2004.1429609

Filename

1429609