Consider the open-loop system of the following figure, in which the continuous-time plant transferfunction G₂ (s) =and sampling time T = 0.5 s.U(s)2s(s+2)+E(s) E*(s)TZOHGp(s)Y(s)A.Compute the state equations for the discrete-time closed-loop system. Notice that the input is u(k).B. Compute the closed-loop system transfer function H(z) = Y(z)/U(z).

Given that, Gp(s)=2s(s+2), Sampling time (T)=0.5s. Here we have to find out the state equation of…

Answered: A. Compute the state equations for the…

A. Compute the state equations for the discrete-time closed-loop system. Notice that the input is u(k). B. Compute the closed-loop system transfer function H(z) = Y(z)/U(z).

Introductory Circuit Analysis (13th Edition)

13th Edition

ISBN:9780133923605

Author:Robert L. Boylestad

Publisher:Robert L. Boylestad

Chapter1: Introduction

Section: Chapter Questions

Problem 1P: Visit your local library (at school or home) and describe the extent to which it provides literature...

See similar textbooks

Related questions

Q: Find the frequency-domain voltage V shown in Fig. P8.41. 0.5/25° Α j2 Ω -j5 Ω 10 Ω + Vo ΟΙ

A: Apply kcl at node connecting the current source , resistance, inductance and capacitance and using…

Q: (Problem 1) (a) Determine the equivalent impedance seen by the source Vs in Figure when: Vs (t) = 10…

A: b) To find the equivalent impedance as seen from the source Vs

Q: A 500 MVA 66 kV/132 kV transformer star-delta has per unit leakage reactance of 0.1 pu on the base…

A: Given- 500 MVA 66 kV/132 kV transformer, Leakage reactance=0.1 pu, Base 500 MVA. Primary voltage=66…

Q: Example Stranded conductor 19/2.9 mm. calculate the equivalent diameter of conductor. Solution: The…

A: Given, diameter of 1 strand, d=2.9 mm The number of the stranded conductor, Ns=27 Number of layers…

Q: A 2 kHz audio signal modulates a 50 MHz carrier causing a frequency deviation of 2.5 kHz. Determine…

Q: An op amp (20 dB drop in gain/decade), has an open-loop gain of 94 dB and a unity- gain frequency of…

A: We need to find out the gain for given bandwidth for given unity gain frequency .

Q: M1 and M2 are matched, what is the output common mode voltage? Draw the output wave form if Vi is a…

Q: Consider the output voltage measured across the resistor in the circuit shown below. a. Find the…

A: Since you have posted the questions with multiple subpart so we are supposed to answer 3 subpart.

Q: The field coils of a six-poles D. C. Generator, each having 600 turns, are connected in series. On…

A: we have to calculate the average voltage induced.

Q: 5) a) Calculate vo +1 10 V Μ Μ 10 Ω ww 30 Ω + Vo ww 40 Ω 20 Ω 2011

Q: = 5. Determine the output voltage vo in the circuit below if vs 2V. Hint: There is a voltage divider…

Q: 3- Show the effect of sampling time on the characteristic of ZOH. digital to analog converter

A: The zero-order hold (ZOH) is a mathematical representation of how a common digital-to-analog…

Q: 7. Indicate which circuit would best match curves below, also indicate where the curve is C, L, R.…

Q: Find i, for the following circuit. 5A O 302. 60 Va 2Va m • 8Ω İb 202

Q: R₁ 1₁ R₂ O R₁ R, ix R₁ + Determine the value of ix as shown at the output terminal of the op-amp.…

Q: Question 1 You have a supply of 8K x 4 memory chips. The address bus on each chip will be. (Type out…

A: “Since you have asked multiple question, we will solve the first question for you. If youwant any…

Q: Handwritten solution needed. In a piezoelectric accelerometer, mass m = 20 gm, k = 7 x 107 N/m and…

A: A specific material's capacity to produce an alternating current voltage in response to mechanical…

Q: 2 A ↑ RT = t = 0 = ≥6N Find i(t) at the specified times, the Thevenin resistance seen by the…

Q: Refer to the circuit shown in fig. 3, Apply circuit analysis techniques to find the voltage between…

A: Given data, Circuit diagram is given as,

Q: When a line-to-ground fault occurs, the current in faulted phase 'a' is 100A. Find the zero-sequence…

A: Current in a faulted phase a = 100 A We have to find the zero-sequence current in phase c

Q: This doesn't match the answer on the answer key I submitted with it - I was hoping to know the…

A: The required parameters can be calculated by using the equivalent impedance of capacitor and…

Q: 2. A 75 MHz carrier having an amplitude of 50 V is modulated by a 3 KHz audio signal having an…

A: In this question, We need to determine modulation index, % modulation index and upper frequency and…

Q: https://2u.pw/252Y5 Hello sir, I have an experiment topic, but I just want a graph that is required…

A: The given experimental data tables are shown below. As it is asked only to draw the graph, so we…

Q: For the given circuit below, it operates on a peak- to-peak input voltage of 133.1 V, F = 60 Hz…

A: Given: Vp-p=2Vm1=133.1 Volts, N1=10 and N2=1.

Q: Example Stranded conductor 27/2.9 mm. calculate the equivalent diameter of conductor. Solution: The…

Q: In this ideal op-amp circuit, it is given: va = 0.19 volts, vb = -0.45 volts, R₁ = 6 ohms, R2 = 17…

Q: Determine the peak-to-peak ripple voltage if the filter capacitor in Figure 2-48 is in- creased to…

A: Here we have to find the peak to peak ripple voltage.

Q: 4 A point charge, Q₁ - 10 µC, is located at P,(1,2,3) in free space, while Q₂-5 µC is at P,(1,2,10).…

Q: An autotransformer is used to connect a 6 kV distribution line to a 7.5 kV distribution line. It…

A: The circuit diagram of autotransformer connecting two three phase power systems is shown below, The…

Q: Z=Zzo l= 5.2 cm Zo 100 , f = 750MHz ZL ZL=30+j50 ohm Find following parameters from smith chart 1.…

Q: Problem 4 Find the Thevenin and Norton equivalent circuits for the circuit shown below. Find the…

Q: In free space, E = through surface 12pzcos da, 12pzcos da - 6pzsin da, + 6p²cos pa, V/m. Find the…

A: Given data: E=12ρzcosϕaρ-6ρzsinϕaϕ+6ρ2cosϕaz V/m

Q: Logic Function X = (AB+C)(B+C) Logic Diagram with Gates

A: Given, The given logic function, X=AB+C¯B¯+C

Q: Problem 2 I A balanced wye-connected three-phase source has line-to-neutral of 220 Vrms. Find the…

A: In this question, We need to determine the line voltage, active power and power factor. We know…

Q: Problem 2. (a) Find the equivalent resistance between point a and point b in figure below. (b) If…

A: It is given that:

Q: For the given circuit below, it operates on a peak- to-peak input voltage of 133.1 V, F = 60 Hz…

A: Here we have to find the output peak voltage.

Q: For each of the following ch.s eq.s of f.b control systems given, determine the range of (k) so that…

Q: For each of the following problems determine a) small signal parameters mo b) Draw the small signal…

Q: Find out the average monthly load factor Given Reading obtained for 1 month = 30 days kWh drawn per…

A: Here we have to find the average monthly load factor.

Q: 2.9-2 A periodic signal g(t) is expressed by the following Fourier series: 2π © (Sr - ²/7) + : 3…

A: Given, Fourier series of the periodic signal, gt=3cost+cos5t-2π3+2cos8t+2π3

Q: 2. A series RLC consists of a 400 resistor, a 61μF capacitor and a 26mH inductor. If the source…

Q: C3 The voltages V1 VC2 and Vo across the capacitors in the circuit in the given figure, under steady…

Q: Calculate the power associated with each source in the circuit. For each source specify if power is…

Q: 6.36 Consider p-type silicon at T = 300 K doped to Na = 5 x 10¹4 cm-³. Assume excess carriers are…

A: Solution -

Q: Find the region of operation and drain current in an NMOS transistor with K'=400 mA/V2, W/L = 5/1,…

Q: Find the midfrequency gain (Am) in dB and the low-frequency cutoff frequency (WL) in rad/s for…

A: Given: F1s=s+10s+50s+200s+1000F2s=s+4s+20s+100s+200 Required: Mid-frequency gain and lower cut-off…

Q: Consider the network to the right, with the following values: R₁ = 50 R₂ = 30 R3 = 40 R4 = 80 R5 =…

A: We first find the current I in the loop using Ohm's law. Current I is marked. Then find the voltage…

Q: m Find the Norton equivalent circuit

Q: Consider the vector in the complex plane given by u=Re{10e jpi/3} + jlm{10e jpi/3} and consider the…

A: Given: u=Re{10e jpi/3} + jlm{10e jpi/3} and r=e jpi/4. Required: v= r8 x u.

Q: What is the output voltage that you would observe across R₁ in Figure 2-65 for C = 22 µF and R₁ = 18…

A: Given: The Capacitor is 22μF The Resistance is 18kΩ The Given circuit is Find: To Find Output…

Question

Consider the open-loop system of the following figure, in which the continuous-time plant transfer
function G₂ (s) =
and sampling time T = 0.5 s.
U(s)
2
s(s+2)
+
E(s) E*(s)
T
ZOH
Gp(s)
Y(s)
A.
Compute the state equations for the discrete-time closed-loop system. Notice that the input is u(k).
B. Compute the closed-loop system transfer function H(z) = Y(z)/U(z).

Expert Solution

This question has been solved!

Explore an expertly crafted, step-by-step solution for a thorough understanding of key concepts.

SEE SOLUTION Check out a sample Q&A here

Step 1

VIEW

Step 2

VIEW

Step 3

VIEW

Step by step

Solved in 3 steps

SEE SOLUTION Check out a sample Q&A here

Knowledge Booster

Mathematical Modeling of Mechanical System

Learn more about

Need a deep-dive on the concept behind this application? Look no further. Learn more about this topic, electrical-engineering and related others by exploring similar questions and additional content below.

Similar questions

Q1 /A plant has the open loop transfer function shown below, with unity negative feedback and step input with 5 final value . (s+1)(s – 4) (s+2)(s+3) G(s) Build a Simulink model to generate the plant closed loop transfer function. Set the Stop Time as 30sec. plot the step response of the closed loop system. also generate a plot of the closed loop system with sinusoidal input of amplitude 15, Frequency 0.2Hz.
Find the output for the system represented by transfer function shown in figure (2-10) analytically and compare with the simulated result. (Assuming all initial conditions is zero)
We know that, in a monostable multi-vibrator, the application of trigger pulse gives a positive going pulse on the output. The same monostable multi-vibrator circuit can be used as a frequency divider. You have a signal (pulse), which varies between 0 and Vcc with a frequency of 4KHZ. Design circuits which will produce an output signal with, (a) 0.5X frequency (2KHZ) and (b) 0.25X frequency (1KHZ).
Q– 2: Suppose you are designing a Mathematical Calculator. You need Logarithmic and Anti logarithmic functions for the calculator. Draw a neat circuit diagram of an Op Amp based log Amplifier. Derive the output voltage expression for the above circuit justifying its name. Draw a neat circuit diagram of an Op Amp based Anti-Log Amplifier. CS Scanned with CamScanner
In the electrical network given in the Figure, the output voltage is taken over the coil. R = 1k ohm, C = 1μF and L = 1 mH. a)Since the switch is closed at time t = 0, the input and the relationship between output voltages. Determine the differential equation shows. b)Find the transfer function. c)Unit impulse and unit step function type input voltages versus output voltages calculate and change changes according to time. Draw it to scale.
In the circuit shown below the op-amp slew rate is SR=05 V/us. If the amplitude of input signal is 0.02 V, then the maximum frequency that may be %3D used is 240 k2 10 k
4. Consider the RC circuit in Figure 1.4. Let us consider a system whose input is the input voltage vin (t) and the output is the voltage across the capacitor vout (t). Find an integral equation that relates the input and output signals. Draw a block diagram showing a different realization (implementation) of this system using integrators, multipliers and adders.
a) Reduce the following block diagram (Figure Q2) to a single transfer function C(s) T(s) : R(s) C(s) R(s) 1 NC NC NC 5 3 2 NC 3 Figure Q2 b) Convert the block diagram of FigureQ2 to a signal flow graph and find transfer function using Mason's rule
The waveforms shown in figure are applied to the inputs at A, and CLK. Sketch the resultant waveforms at Q0, Q1 and z, (assume Q0=Q1=0, show steps, tables etc. to find the solution) CLK Sp Jo CLK A K Fp 1 Rp
Determine the state equations and op equation fa - The system belon), - 2
a) Design a circuit using 741 op amp IC and 555 timer IC, to generate both Pulse Width and Pulse Position modulated signals. Perform the required calculations to obtain the width of the PPM signal as 200μs. Draw the clear circuit diagram and calculate the values of resistors and capacitors used. b) Simulate the circuit designed in part (a) using appropriate simulation tools(Multisim or Tinkercad) and obtain the output. The answer should include details such as aim, brief procedure, screenshot of simulation circuit along with resultant waveforms and calculations of the practical time-period obtained for PPM output. c) Plot graphs with clear labels and scales for message, carrier and output signal (PWM and PPM). Also discuss your inference and reflection on the results obtained. [Note: Plot graphs on a normal graph paper by hand and attach the scanned copy to the assignment]
The OP AMP circuit in below figure has a capacitor in its feedback loop. Determine the circuit gain (a) at dc and (b) as the frequency approaches o rad/s. C R R + vo(t) Vs(1) +