Rf. Fung et Kw. Chen, CONSTANT-SPEED CONTROL OF THE QUICK RETURN MECHANISM DRIVEN BY A DC MOTOR, JSME international journal. Series C, mechanical systems, machine elements and manufacturing, 40(3), 1997, pp. 454-461
For the dynamic analysis Hamilton's principle and Lagrange multiplier
method are applied to formulate the equations of the motion of a quick
return mechanism driven by a DC motor, The coordinate partitioning th
eorem is applied here to provide a theoretical reduction of differenti
al-algebraic equations to differential equation farm. In this work, we
are concerned with the analysis and design a modified proportional-in
tegral-derivative (PID) controller which was based on the principles o
f conventional PID controller to keep the driving crank with a constan
t angular velocity. Results of numerical simulations show that the ang
ular velocity fluctuation can be reduced substantially and this modifi
ed PID controller also fan give reasonably good results whatever it ha
ve or not considered cutting force in the system.