TY - GEN
T1 - Fractional order control of flexible structures governed by the damped wave equation
AU - Sirota, Lea
AU - Halevi, Yoram
N1 - Publisher Copyright:
© 2015 American Automatic Control Council.
PY - 2015/7/28
Y1 - 2015/7/28
N2 - This paper considers closed loop control of systems that are represented by the one dimensional wave equation with distributed damping. The model and the control algorithm are based on the traveling wave approach, which yields irrational and fractional order transfer functions in the frequency domain. In previously studied cases, with damping acting only at the boundaries and a conservative flexible media, it was shown that the wave form did not change between reflections. In the current case of distributed damping it is shown that the waves are distorted during motion. The closed loop algorithm is designed to eliminate the wave reflections at the control end. It extends the absolute vibration suppression (AVS) method to the irrational realm. The resulting controller is of fractional order and is implemented by appropriate approximations. The effectiveness of the control algorithm is demonstrated through rejection of external disturbances.
AB - This paper considers closed loop control of systems that are represented by the one dimensional wave equation with distributed damping. The model and the control algorithm are based on the traveling wave approach, which yields irrational and fractional order transfer functions in the frequency domain. In previously studied cases, with damping acting only at the boundaries and a conservative flexible media, it was shown that the wave form did not change between reflections. In the current case of distributed damping it is shown that the waves are distorted during motion. The closed loop algorithm is designed to eliminate the wave reflections at the control end. It extends the absolute vibration suppression (AVS) method to the irrational realm. The resulting controller is of fractional order and is implemented by appropriate approximations. The effectiveness of the control algorithm is demonstrated through rejection of external disturbances.
UR - http://www.scopus.com/inward/record.url?scp=84940942222&partnerID=8YFLogxK
U2 - 10.1109/ACC.2015.7170795
DO - 10.1109/ACC.2015.7170795
M3 - פרסום בספר כנס
AN - SCOPUS:84940942222
T3 - Proceedings of the American Control Conference
SP - 565
EP - 570
BT - ACC 2015 - 2015 American Control Conference
PB - Institute of Electrical and Electronics Engineers Inc.
Y2 - 1 July 2015 through 3 July 2015
ER -