The desired position of the machine tool

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Machine tools are often automatically controlled as shown in Figure P9.10. These automatic systems are often called numerical machine controls [9]. On each axis, the desired position of the machine tool is compared with the actual position and is used to actuate a solenoid coil and the shaft of a hydraulic actuator. The transfer function of the actuator (see Table 2.7) is

where K_a = 1 and τ_a = 0.4 s. The output voltage of the difference amplifier is

(a) Determine the gain K] that results in a system with a phase margin of 30°. (b) For the gain K₁ of part (a), determine M_p_ω, ω_n and the closed-loop system bandwidth, (c) Estimate the percent overshoot of the transient response to a step input X_d(s) = 1/s, and the settling time (to within 2% of the final value).

Reference no: EM131127848

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