Title :
Stabilization and disturbance rejection for the beam equation
Author_Institution :
Dept. of Electr. & Electron. Eng., Bilkent Univ., Ankara, Turkey
fDate :
12/1/2001 12:00:00 AM
Abstract :
We consider a system described by the Euler-Bernoulli beam equation. For stabilization, we propose a dynamic boundary controller applied at the free end of the system. The transfer function of the controller is a marginally stable positive real function which may contain poles on the imaginary axis. We then give various asymptotical and exponential stability results. We also consider the disturbance rejection problem
Keywords :
asymptotic stability; distributed parameter systems; flexible structures; group theory; transfer functions; Euler-Bernoulli beam equation; asymptotical stability; distributed parameter systems; disturbance rejection; disturbance rejection problem; dynamic boundary controller; exponential stability; flexible structures; imaginary axis; marginally stable positive real function; poles; semigroup theory; stabilization; transfer function; Asymptotic stability; Control systems; Distributed control; Distributed parameter systems; Flexible structures; Partial differential equations; Power system dynamics; Power system stability; Robust stability; Transfer functions;
Journal_Title :
Automatic Control, IEEE Transactions on
