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# We Helped With This MATLAB Programming Homework: Have A Similar One?

Category | Programming |
---|---|

Subject | MATLAB |

Difficulty | Undergraduate |

Status | Solved |

More Info | Engineering Homework Help |

## Short Assignment Requirements

## Assignment Description

**Cyber Exploration Laboratory**

### Experiment 4.1

**Objective **To
evaluate the effect of pole and zero location upon the time response of first-
and second-order systems.

**Minimum
Required Software Packages **MATLAB, Simulink, and the Control System
Toolbox

### Prelab

*a*

**1. **Given the transfer function *Gs*
, evaluate settling time and rise time for the

*s**a*

following values of *a*:
1, 2, 3, 4. Also, plot the poles. *b*

**2. **Given the transfer function *Gs*
:

*s*^{2 } *as**b*

**a. **Evaluate
percent overshoot, settling time, peak time, and rise time for the following
values: *a * 4*; b *
25. Also, plot the poles.

**b. **Calculate
the values of *a *and *b *so that the imaginary part of the poles
remains the same but the real part is increased two times over that of Prelab 2**a**, and repeat Prelab 2**a**.

**c. **Calculate
the values of *a *and *b *so that the imaginary part of the poles
remains the same but the real part is decreased by one half over that of Prelab
2**a**, and repeat
Prelab 2**a**.

**3. ****a. **For the
system of Prelab 2**a**,
calculate the values of *a *and *b *so that the real part of the
poles remains the same but the imaginary part is increased two times over that
of Prelab 2**a**,
and repeat Prelab 2**a**.

**b. **For the
system of Prelab 2**a**,
calculate the values of *a *and *b *so that the real part of the
poles remains the same but the imaginary part is increased four times over that
of Prelab 2**a**,
and repeat Prelab 2**a**.

**4. ****a. **For the
system of Prelab 2**a**,
calculate the values of *a *and *b *so that the damping ratio remains
the same but the natural frequency is increased two times over that of Prelab 2**a**, and repeat Prelab 2**a**.

**b. **For the
system of Prelab 2**a**,
calculate the values of *a *and *b *so that the damping ratio remains
the same but the natural frequency is increased four times over that of Prelab
2**a**, and repeat
Prelab 2**a**.

**5. **Briefly
describe the effects on the time response as the poles are changed in each of
Prelabs 2, 3, and 4.

### Lab

**1. **Using
Simulink, set up the systems of Prelab 1 and plot the step response of each of
the four transfer functions on a single graph by using the Simulink LTI Viewer
(See Appendix E.6 online for tutorial). Also, record the values of settling
time and rise time for each step response.

**2. **Using
Simulink, set up the systems of Prelab 2. Using the Simulink LTI Viewer, plot
the step response of each of the three transfer functions on a single graph.
Also, record the values of percent overshoot, settling time, peak time, and
rise time for each step response.

**3. **Using
Simulink, set up the systems of Prelab 2**a **and Prelab 3. Using the Simulink LTI Viewer, plot the step response
of each of the three transfer functions on a single graph. Also, record the
values of percent overshoot, settling time, peak time, and rise time for each
step response.

**4. **Using
Simulink, set up the systems of Prelab 2**a **and Prelab 4. Using the Simulink LTI Viewer, plot the step response
of each of the three transfer functions on a single graph. Also, record the
values of percent overshoot, settling time, peak time, and rise time for each
step response.

### Postlab

**1. **For
the first-order systems, make a table of calculated and experimental values of
settling time, rise time, and pole location.

**2. **For
the second-order systems of Prelab 2, make a table of calculated and
experimental values of percent overshoot, settling time, peak time, rise time,
and pole location.

**3. **For
the second-order systems of Prelab 2**a **and Prelab 3, make a table of calculated and experimental values of
percent overshoot, settling time, peak time, rise time, and pole location.

**4. **For
the second-order systems of Prelab 2**a **and Prelab 4, make a table of calculated and experimental values of
percent overshoot, settling time, peak time, rise time, and pole location.

**5. **Discuss
the effects of pole location upon the time response for both first- and
secondorder systems. Discuss any discrepancies between your calculated and
experimental values.