Answer Happy

A numerical path-controlled machine turret lathe is an interesting problem in attaining sufficient accuracy. A simplified design of the turret lathe control system can be modeled as in Figure Q4 with 0.2K P(s) = G₁ (3) (0.2s+1)(0.001s² ii) G(s)=G(s)P(s)=G, (s) ²+0.02s) It is necessary to attain an accuracy of 5×10-4 cm, and therefore a steady-state position accuracy of 2.5% is specified for a ramp input. i) Plot or sketch a root locus. Design a cascade compensator to be inserted before the silicon-controlled rectifiers in order to provide a response to a step command with a percent overshoot not greater than 5%. A suitable damping ratio for this system is = 0.7. The gain of the silicon-controlled rectifiers is K, = 5