Abstract: Pipes with supported ends may lose their dynamic stability due to parametric instability when they convey pulsating fluid. the piezoelectric actuators were taken as the control actuators, and built a controlling mathematical model of the pipeline system. Then aiming at the traditional PID controller’s poor robustness on pipeline system parameters, MRAC system and MRAC system based on adaptive gain of the PD were designed on the basis of Lyapunov stability theory, not only the vibration peak values of the pipeline system were suppressed in a short time, but also the controllers had better robustness on pipeline system parameters. Control effects of adaptive controllers were verified and robustness for pipeline system parameters of the controllers was analyzed by numerical simulation methods. Research results show that the vibration peak values of pipeline systems can be suppressed by adaptive controllers, but control effects of the MRAC controller are better than others; both of these two kinds of adaptive controllers have strong robustness on pipeline system parameters.

Key words: pipe conveying fluid, vibration control, model reference adaptive control, robustness, simulation research