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For integrative (I) control, calculate the steady-state error when individually applying a unit step, a unit ramp, and a unit parabola input to this control system

A micro cantilever, such as the one sketched in Figure 11.68, receives an input displacement u from a rigid frame and, as a result, undergoes bending vibrations; the cantilever free end deflection is z. This deflection is sensed op to electronically by a photodiode whose output voltage is proportional (constant Ks) to the input cantilever free-end deflection. When these two units are connected in a standard non-unity-feedback control system with a summing point, (a) Express the steady-state error in terms of the transfer functions involved and a generic reference signal. Use a lumped-parameter model for the cantilever with mass m, viscous damping coefficient c, and stiffness k— all expressed at the free end of the cantilever. (b) For integrative (I) control, calculate the steady-state error when individually applying a unit step, a unit ramp, and a unit parabola input to this control system

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The post For integrative (I) control, calculate the steady-state error when individually applying a unit step, a unit ramp, and a unit parabola input to this control system appeared first on Wise Papers.

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