Control design of active dynamic vibration absorber based on homogeneous control Lyapunov functions

Author

Ishimaru, Y. ; Nishimura, Y. ; Kondo, E. ; Nakao, M.

Author_Institution

Grad. Sch. of Sci. & Eng., Kagoshima Univ., Kagoshima, Japan

fYear

2014

fDate

8-10 Oct. 2014

Firstpage

1269

Lastpage

1274

Abstract

Active dynamic vibration absorbers are widely known as vibration controllers exhibiting good performance for disturbance signal with various frequencies. Generally, LQ control is used in active dynamic vibration absorber. In this paper, we show that nonlinear control laws supply vibration control performance higher than the LQ control laws by designing homogeneous CLF control laws. The effectiveness of our controllers is confirmed by the analysis of transient and steady-state frequency responses with numerical simulation.

Keywords

Lyapunov methods; control system synthesis; frequency response; linear quadratic control; numerical analysis; shock absorbers; vibration control; LQ control laws; active dynamic vibration absorber control design; disturbance signal; homogeneous CLF control laws; homogeneous control Lyapunov functions; nonlinear control laws; numerical simulation; steady-state frequency responses; transient responses; Frequency control; Hafnium; Lyapunov methods; Mathematical model; Numerical simulation; Vibration control; Vibrations;

fLanguage

English

Publisher

ieee

Conference_Titel

Control Applications (CCA), 2014 IEEE Conference on

Conference_Location

Juan Les Antibes

Type

conf

DOI

10.1109/CCA.2014.6981503

Filename

6981503