The differential equation model for a certain position control system for a metal cutting tool is where

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The differential equation model for a certain position control system for a metal cutting tool is

dx + (6 + Kj)x dt d'x + (6 + Kp) ax dr + (11 + Kp) - dr dxa dxa = Kp + Kp + KjXd dt dr?

where the actual tool position is x; the desired position is x_d (t); and K_p, K_I, and K_D are constants called the control gains. Use the Laplace transform method to find the unit-step response [that is, x_d(t) is a unit-step function].

Use zero initial conditions. Compare the response for three cases.

a. K_p = 30, K_I = K_D = 0

b. K_p = 27, K_I = 17.18, K_D = 0

c. K_p = 36, K_I = 38.1, K_D = 8.52

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Introduction To MATLAB For Engineers

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3rd Edition

Authors: William Palm III

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Question Posted: Jul 09, 2020 04:40 AM

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The differential equation model for a certain position control system for a metal cutting tool is where

Question:

dx + (6 + Kj)x dt d'x + (6 + Kp) ax dr + (11 + Kp) - dr dxa dxa = Kp + Kp + KjXd dt dr?

Step by Step Answer:

ANSWER To find the unitstep response of the given system using the Laplace transform method we first ...View the full answer

Introduction To MATLAB For Engineers

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