Title :
Stabilization of towed cables
Author :
Nguyen, Tu Duc ; Egeland, Olav
Author_Institution :
Dept. of Eng. Cybern., Norwegian Univ. of Sci. & Technol., Norway
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;
Conference_Titel :
Decision and Control, 2004. CDC. 43rd IEEE Conference on
Print_ISBN :
0-7803-8682-5
DOI :
10.1109/CDC.2004.1429609
