Question: 8.1 Consider the following transfer function G(s) = s(s+1) +48 +4 2 S (a) Calculate the poles, zeros, relative order and static gain of the

8.1 Consider the following transfer function G(s) = s(s+1) +48 +4

8.1 Consider the following transfer function G(s) = s(s+1) +48 +4 2 S (a) Calculate the poles, zeros, relative order and static gain of the system. Is the system BIBO stable? (b) Write down a differential equation that describes the input/output behavior of the system in the time domain. (c) Calculate and plot the unit step response. Determine the initial value and the final value of the step response. Can you explain the qualitative shape of the step response? (d) If the input is a ramp with unit slope, what is the asymptotic response of the output? (e) If the input is sinusoidal with unit amplitude and frequency w, what is the asymptotic response of the output? (f) Check your results with MATLAB or Maple

Step by Step Solution

There are 3 Steps involved in it

1 Expert Approved Answer

Step: 1 Unlock blur-text-image

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 Chemical Engineering Questions!

8.1 Consider the following transfer function G s s s s s ( ) ( 1) 4 4 2 = + + + (a) Calculate the poles, zeros, relative order and static gain of the system. Is the system BIBO stable? (b) Write down...

8.1 Consider the following transfer function G(s) = s(s+1) +48 +4 2 S (a) Calculate the poles, zeros, relative order and static gain of the system. Is the system BIBO stable? (b) Write down a...

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...

Inverted Pendulum Fig. 1 shows a cart on wheels that can be moved back and forth to balance the stick that is supported by a frictionless pivot at the base of the stick. The system also includes an...

Submitted to Management Science manuscript MS-0001-1922.65 Authors are encouraged to submit new papers to INFORMS journals by means of a style file template, which includes the journal title....

Give Correct ANSWERS Human-Computer Interaction (a) If you had been one of the original inventors of the WIMP interface, and engineers on the technical team had been sceptical about the advantages...

Show the parse trees for the two parses that the grammar assigns for sentence S1. S1: the train station bus rumbles [3 marks] (b) Give an algorithm for a bottom-up passive chart parser without...

Write 2 paragraphs about Macro risks and the term structure of interest rates article. No max word count, page count, or formatting requirements but has to be submit to my tutor's work as my own....

Consider the following given source codes, made up of four parts. The first part is the full-order observer design. The next part is the state feedback controller design. The third one is the...

MATHEMATICS FOR MACHINE LEARNING Marc Peter Deisenroth A. Aldo Faisal Cheng Soon Ong Contents Foreword 1 Part I Mathematical Foundations 9 1 Introduction and Motivation 11 1.1 Finding Words for...

Gowsell Corporation has the following production budget March Units to be produced January February 11,000 13,000 15,000 Each unit requires 0.40 direct labor hours at $18.00 per hour. Workers are...

0.12 mL of a saline suspension of red blood cells labeled with Fe-59 is injected into the tail vein of a mouse. Before injection the gamma rays were counted for this 0.12 mL solution and the count...

A young college student was making a purchase at a local department store. The clerk suggested obtaining an additional 1 5 percent off the purchase price by signing up for a store credit card. How...

Dice -die:int[] -random:Random +Dice() +Dice(numDice:int) +roll():int -rollDie():int +getDieValues():int[] +hasDoubles():boolean +toString():String java.util.Random // Do a web search for details...

You want your boss to approve your plan for hiring two new people. Message Organization: Drafting Persuasive Messages: If you were trying to persuade people to take the following actions, would you...

A final request to settle a delinquent debt Message Organization: Choosing the Approach: Indicate whether the direct or the indirect approach would be best in each of the following situations. [LO-5]

You want to be hired for a job. Message Organization: Drafting Persuasive Messages: If you were trying to persuade people to take the following actions, would you choose the direct or indirect...