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If the input voltage, ein(t), of the following system is a unit step,
1. For a system described in Figure 1. x(t) - input voltage, y(t) - output voltage. (a) Determine Continuous Time (C.T.) "Math Model" when R = 1/3 121, L = 1/2 [F], and C = 1 [F]. (b) Fine "Zero Input Response". y zit. for the C.T.system. when y(0) = 1 [V], y'(0) = 2 IV (c) Draw "Zero Input Response". y_zi(t) with respect to time 1 (2-D graph) (d) Find impulse response, h(!). of the Continuous Time (C.T.) system....
Consider the following circuits connected in series. The input is the voltage x(t), the output to system Si is the voltage y(t), and the output of system S2 is the voltage y(t). The differential equation relating the input X(t) to the output yı(t) was found in Homework #3. S2 x(1) y(t) | X(t) 6+ R yce) .66) (1) + y(t) Let L = 0.01, C1 = 0.01, R = 100, C2 = 0.002, and R2 = 50. a) Find the...
A triangular waveform voltage (shown below to the right) is applied to the following circuit input terminals. The circuit’s value of C is 200 nano-farad and the value of R is 47 kilo-ohm. The output voltage is measured with a high impedance A-to-D converter. Recalling that such a passive element circuit is a linear-time invariant system which can be solved with superposition principles: a) Determine eout at time = 1.5 milli-second. b) Determine the time when there is no current...
control system Q4) Figure (a) and Figure (b) below show a system with a unit-step input, and the output time response respectively. From the response curve, determine the values of K and T shown in Figure (a)
4. When the closed-loop system shown is subjected to a unit-step input, the system output responds as shown in the Figure below. Determine the values of K and T from the response curve. 0.254 (seconds)
Question 4: Consider the following system: 0.01 a) Describe the response to a unit step input for K 0.01 and K-0.1 and determine the value of K for a non-oscillatory minimum response time. b) If we let K-1, what will be the value of the steady state error of this system in response to a unit step input? c) If we now replace the "proportional controller" (the box with the K in it) with a proportional integral (PI) controller, with...
Problem 3. Consider an LTIC system S. whose response to the unit-step function u(t) is as follows Slu(t)] Moreover, let the following input signal (t) go through the same LTIC system: r(t) 3 -2 1 Can you sketch/compute the output y(t) of the LTIC system S] to the input r(t) without using the impulse-response function h(t) of the system? Justify your answer!
1) An input step voltage Vin(t)=10 u(t) Volt is applied to the circuit shown below. The initial voltage on the capacitor is zero. Using Laplace transform techniques, calculate the resulting output voltage Vout(t). R1 R2 Vout 2000 Vin c1 1000 1uF R3 1000
7.12 Fig. E7.12 presents the response of a system to a unit step in the input. (a) Use these data to derive an FOPTD model of this system. (b) Plot the response of the model and compare with the data. (c) The FOPTD model does not capture all the features of the original response. What is the feature that the FOPTD model fails to capture? What causes this dynamic behavior? rature fm are d from t units
Find the transfer function between the output inductor voltage vl(t) and input voltage v(t) for the following system? R v(t) llll vi(t) iſt)