Question: A closed - loop control system is shown below Simplify the block diagram to find the characteristic equation of the system. Build the Routh array.

A closed-loop control system is shown below
Simplify the block diagram to find the characteristic equation of the system.
Build the Routh array.
Based on the Routh array, write the inequalities in order to obtain a stable system.
Find the ranges of a and k. Then sketch the ranges in the a-k plane, mark the stable area with shades if there is any.
A closed - loop control system is shown below

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 Mechanical Engineering Questions!

Q:

After Reading the Case. Clearly answer the following questions in a single post. 1) In your opinion , How did ChassisCo contribute to the cause of crisis at Athens in 2004? How did Toyota contribute...

Q:

Let A, B be sets. Define: (a) the Cartesian product (A B) (b) the set of relations R between A and B (c) the identity relation A on the set A [3 marks] Suppose S, T are relations between A and B, and...

Q:

A discrete sequence {xn} can be converted into a continuous representation x(t) = ts X n= (t n ts) xn, where ts is the sampling period. (a) State two characteristic properties of Dirac's function. [2...

Q:

please help me solve this question 1. Two liquid streams, stream 1 and stream 2 , having flow rates of q1 and q2L/min, and conc. of chemical A, denoted by CA,1 and CA,2, respectively are flowing into...

Q:

Explain informally the difference between Godel's completeness theorem and his first incompleteness theorem. [8 marks] (b) State the meaning of Hoare triples {P} C {Q} in separation logic. [3 marks]...

Q:

(8) Determine the range of K for stability of the system with following characteristic equation. Using direct synthesis method or Routh Array criterion, design a controller (find the controller...

Q:

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...

Q:

Question 1a Ris) C's) Gels) K; s(s+5)(8 +15) Figure 12.1 Figure 1a.1 shows the block diagram of the closed loop control of the linearized magnetic levitation system. Assume that Go (8)=1. K1=1 and...

Q:

This question concerns lexical grammars. (a) Tree Adjoining Grammars contain two types of elementary tree. (i) What are these trees called? [1 mark] (ii) If one were building a grammar for English...

Q:

In this question you will be asked to reflect on a project you have been involved in or observed, in which a design evolved, or could have evolved, through applying a theory of user behaviour. You...

Q:

Prepare a one page or 150-words comment about the West Gate Tunnel Project (WGTP) contaminated land treatment methodology and management: A) Identify and briefly discuss the strengths of the...

Q:

Net income was $500,000 in 2013, $450,000 in 2014, and $522,000 in 2015. What is the percentage of change from? (a) 2013 to 2014 (b) 2014 to 2015? Is the change an increase or a decrease?

Q:

In a foreclosure through a power - of - sale clause, who actually conducts the foreclosure? Mortgagor Trustor Trustee Mortgagee

Q:

Winter Leisure is a retailer of snowboards. The information below is for the quarter ended December 31: Amount Total sales revenue $ 1,600,000 Selling price per snowboard $ 400 Variable selli...