Title :
On the stabilization of a cable with a tip mass
Author :
Morgul, Omer ; Rao, Bo Peng ; Conrad, Francis
Author_Institution :
Dept. of Electr. & Electron. Eng., Bilkent Univ., Ankara, Turkey
fDate :
10/1/1994 12:00:00 AM
Abstract :
In this note, we consider a vertical cable which is pinched at the upper end. A mass is attached at the lower end where a control force is also applied. We show that this hybrid system is uniformly stabilized by choosing a suitable control law for the control force depending on the velocity and angular velocity at the free end. Moreover for specific values of the feedback coefficients, we obtain the rate of decay of the energy of the system
Keywords :
control system synthesis; feedback; force control; pendulums; stability; angular velocity; energy decay rate; feedback coefficients; pendulum; stabilization; tip mass; vertical cable; Angular velocity; Angular velocity control; Boundary conditions; Control systems; Feedback control; Force control; Partial differential equations; Stability; Weight control;
Journal_Title :
Automatic Control, IEEE Transactions on
