Question: Given the Transfer Function model of a first-order system as [G(s)=frac{a}{s+a},] (a) Calculate the time constant, settling time, rise time and pole location for the

Given the Transfer Function model of a first-order system as

\[G(s)=\frac{a}{s+a},\]

(a) Calculate the time constant, settling time, rise time and pole location for the three first-order systems where the values of a are 1,2 and 3), respectively.

(b) Using MATLAB plot the unit-step responses of the three systems in one diagram.

(c) Compare the calculated and experimentally determined (MATLAB) time constant, settling time and rise time for each of the three systems.

Step by Step Solution

★★★★★

3.38 Rating (151 Votes )

There are 3 Steps involved in it

1 Expert Approved Answer

Step: 1 Unlock

a The time constant settling time rise time and pole location for the three f... View full answer

Question Has Been Solved by an Expert!

Get step-by-step solutions from verified subject matter experts

Step: 2 Unlock

Step: 3 Unlock

Students Have Also Explored These Related Systems Analysis And Design Questions!

Given the Transfer Function model of a second-order system as \[\begin{equation*}H(s)=\frac{b}{s^{2}+a s+b}, \tag{3.33}\end{equation*}\] (a) Calculate the per cent overshoot, settling time, peak...

CANMNMM January of this year. (a) Each item will be held in a record. Describe all the data structures that must refer to these records to implement the required functionality. Describe all the...

Python and most Python libraries are free to download or use, though many users use Python through a paid service. Paid services help IT organizations manage the risks associated with the use of...

Cyber Exploration Laboratory Experiment 4.1 objective To the effect of pole and zero location upon the time evaluate response of first- and second-order systems Required Software Packages MATLAB....

Time Series Data Mining: A Case Study With Big Data Analytics Approach ABSTRACT Time series data is common in data sets has become one of the focuses of current research. The prediction of time...

1 First Order System A first order system is found to have the output c(t)50 Volts Determine the rise time tr, the settling time t, and the final value of the system (i.e. whenoo. What value does the...

1. Given the transfer function G(s) = = sta -, evaluate settling time for the following values of a: 2 Also, plot the poles b 2. Given the transfer function G (s) =; $2+as+b' a. Evaluate percent...

The cruise control system for a car can be modelled as a single translational mass, as shown in Figure 3.33. The input to the car system is the applied engine force $f(t)$, which produces...

The steering input controls the lateral motion of the vehicle (see Figure 1). The automated vehicle steering control system uses information about the vehicle position relative to the center of the...

This is a desktop based activity focussing on deriving the characteristic equation of DC motor followed by obtaining the behaviour of system in time and frequency domains using computer simulation...

X Company recently acquired control over Y Company. On the date of acquisition, the fair values of Y Companys assets exceeded their tax bases. How does this difference affect the consolidated balance...

Blue Raider Toy Company is planning a huge promotion for Mighty Toys action figures during the upcoming holiday season. As the company's purchasing manager, your job is to determine the best way to...

Describe the purpose of each of the four main financial statements. ( Complete all input fields. ) Question content area bottom Part 1 Financial Statement Description Income Statement Measures a...

Fatima Bells current ratio at year-end 20X6 is closest to a. 1.2. c. 20.8. b. 9,390. d. 0.9.

Robyn Cucurullo is developing a social networking app for tablet computers. She has the following stages completed so far: a. Create a table similar to the one in Figure 3.27. b. For Week 3,...

List the five factors analysts should consider when including Web 2.0 technologies in organizational web pages.

Consider the following income statement for the Heir Jordan Corporation: HEIR JORDAN CORPORATION Income Statement Sales $ 45,300 Costs 35,100 Taxable income $ 10,200 Taxes (30%) 3,060 Net income $...

In the Fig . below , if the fluid is glycerin at 20 C and the width between plates is 6 mm , what shear stress (in Pa ) is required to move the upper plate at V = 5.5m / s ? Note that glycerin...

North Bay Village Safety Products has an opportunity to manufacture replacement air bags for Takata Corp on a long-term contract for warranty work. The following financial information is available...