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Enhancing PD-controller efficiency via timedelays to suppress nonlinear system oscillations. (English) Zbl 1457.93059

Summary: Within this work, the conventional PD-controller is proposed to suppress the lateral oscillations of a nonlinear Jeffcott-rotor system. Time-delays in the control loop are included in the system model. The slow-flow modulating equations governing the whole system dynamics are obtained. Influence of the controller gains and time-delays on response curves are explored. The analyses showed that the controller efficiency has been enhanced at specific values of time-delays; while the system may lose its stability at the other values. The phenomenon of enhancing the controller efficiency was explained and accordingly the optimal values of the loop-delays have been reported.

MSC:

93C70 Time-scale analysis and singular perturbations in control/observation systems
93C43 Delay control/observation systems
34E13 Multiple scale methods for ordinary differential equations
70K40 Forced motions for nonlinear problems in mechanics
70Q05 Control of mechanical systems
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