Title :
A boundary controller based on linear infinite dimensional system for station keeping of a tethered satellite system
Author :
Mankala, Kalyan K. ; Agrawal, Sunil K.
Author_Institution :
Dept. of Mech. Eng., Delaware Univ., Newark, DE
Abstract :
In this paper, we look at an unique way of station keeping of a tethered satellite system. We design the boundary control based on the infinite dimensional model of the system dynamics. A linearized infinite dimensional system is obtained from the linearization of the nonlinear infinite dimensional system around the system relative equilibrium configuration. A boundary control is proposed for the stabilization of this linearized partial differential equation system and its stability analysis is performed using Lyapunov functions. Simulation results show the effectiveness of the proposed controller on the linear and non-linear systems. The proposed boundary controller does not constrain the tension in the tether to be positive
Keywords :
Lyapunov methods; aerospace control; artificial satellites; control system synthesis; linear systems; linearisation techniques; multidimensional systems; nonlinear systems; partial differential equations; stability; Lyapunov functions; boundary control design; boundary controller; equilibrium configuration; linear infinite dimensional system; linearized partial differential equation system; nonlinear systems; stability analysis; station keeping; system dynamics; tethered satellite system; Cables; Control systems; Mechanical engineering; Motion control; Nonlinear control systems; Nonlinear dynamical systems; Nonlinear systems; Satellites; Torque control; Vibration control;
Conference_Titel :
American Control Conference, 2006
Conference_Location :
Minneapolis, MN
Print_ISBN :
1-4244-0209-3
Electronic_ISBN :
1-4244-0209-3
DOI :
10.1109/ACC.2006.1655453