An electric ventricular assist device (EVAD) that helps
Chapter 11, Problem 24(choose chapter or problem)
An electric ventricular assist device (EVAD) that helps pump blood concurrently to a defective natural heart in sick patients can be shown to have a transfer function
G(s) = \(\frac{P_{\mathrm{ao}}(s)}{E_m(s)}\) = \(\frac{1361}{s^2+69 s+70.85}\)
The input, \(E_m(s)\), is the motor's armature voltage, and the output is \(P_{\text {ao }}(s)\), the aortic blood pressure (Tasch, 1990). The EVAD will be controlled in the closed-loop configuration shown in Figure P11.1.
a. Design a phase lag compensator to achieve a tenfold improvement in the steady-state error to step inputs without appreciably affecting the transient response of the uncompensated system.
b. Use MATLAB to simulate the uncompensated and compensated systems for a unit step input.
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