Controller design for flexible systems with friction: Pulse amplitude control

Accounting for friction is important when designing controllers for precision motion control systems. However, the presence of the friction and the flexibility in the system yields undesirable behaviors such as residual vibration and stick-slip oscillation near the reference value. In the proposed development, a pulse amplitude modulated controller with user-specified pulse width, is used to initiate the motion so as to permit the system to coast to the desired final position after the final pulse, with zero residual vibrations. The proposed technique is illustrated on the floating oscillator benchmark problem, where friction acts on the first mass. Numerical simulation illustrates the effectiveness of the proposed technique.