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1. A closed loop servo is represented by the differential equation given by Eq. 1, where c is the displacement of the output, r is the displacement of the input shaft and the error e = r - c. Find the transfer function C/R and then determine un-damped natural frequency ωn, damping ratio ζ and percentage maximum overshoot Mp for a unit step input.
2. For servomechanisms with open loop transfer functions given below, explain what type of input (step, ramp, parabolic) that will give a constant steady-state error and calculate their values (assume unity feedback).
3. Consider a unity feedback system with a closed loop transfer function given by Eq. 2. Determine the open loop transfer function and find the steady state error with unit ramp input.
(Hint: start with the definition of closed loop system to obtain G(s))
Given that K = 10, a = 2 and b = 1, use MATLAB to verify the obtained result.
We can model the human body as a voltage source in series with a high resistance, let's say 10mV in series with 100kOhms. If we use an instrument with 1MOhm input resistance, what voltage value will we measure
Attenuation of received power with change in transmission frequency and distance between the antennas
Combine the following expressions into a single sinusoid and plot both the combined and original expressions in Matlab across 2 periods. a) 2cos(3t)-cos(3t-pi/4) b) sin(2t- pi/4) + 2cos(2t-pi/3) c) cos(t) - sin(t) d) 10cos((pi*t) + pi/3) + 8cos((p..
Design lowpass IIR filter with the following specifications: Filter order = 2, Butterworth type Cut-off frequency=800 Hz Sampling rate =8000 Hz Design using the bilinear z-transform design method
Determine zero-input response of (D2+4D+40)y(t)=(D+2)x(t) with initial condition y0(0)=2 & dy0(0)/dt=16.78.
The spring of the pressure gauge shown in the figure below has a force constant of 1385 N/m, and the piston has a radius of 1.00 cm. As the gauge is lowered into water, what change in depth causes the piston to move in by 0.750 cm
Assume that life on Mars requires cell potential to be +100mV, and the extracellular concentrations of the three major species are following (mmol/L): Na+ : 145; K+ : 4; Cl- : 120. Choose one species and assume that other two permeabilities are ze..
The data inputs I0 through I7 are wired as follows: I0 = I1 = 0, I2 = I6 = , I3 = I5 = I7 = 1; and I4 = D. (a) Determine the Boolean function that the MUX implements. (b) Implement the function using a 4×1 MUX with minimum extra logic gates.
Consider a communications channel with a passband of 3 kHz to 27.4 kHz. A modem will be connected to this communications channel and the modem will operate with a signaling rate that is 0.56 the maximum allowable signaling rate for this communicat..
design a Mealy type circuit whose response to a binary sequence is to output a 1 iff the current and previous bit are both the same value. a) Draw a state diagram, showing state, input, output b)Complete the following table of (input, state, output)..
at room temp a power transistor has beta of 160 and it is used in a DC dimmer circuit to control a 24 volt 120 watt lamp the lamp power supply is 48 volts dc and it can deliver a maximum of 21 amperes of current
The excitation branch impedances are given referred to the high-voltage side of the transformer. a) Find the equivalent circuit of this transformer referred to the high-voltage side.
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