For the feedback control system has:G(s)=-s(s+2)(s+4)H(s)=Ds +2s +5Investigate the stability of the system using Routh Criterion method.

Solution using Routh Hurwitz criteria

Answered: For the feedback control system has: k…

For the feedback control system has: k G(s)=- H(s)=- s2 +2s +5 s(s+2)(s+4) Investigate the stability of the system using Routh Criterion method.

Principles of Heat Transfer (Activate Learning with these NEW titles from Engineering!)

8th Edition

ISBN:9781305387102

Author:Kreith, Frank; Manglik, Raj M.

Publisher:Kreith, Frank; Manglik, Raj M.

Chapter4: Numerical Analysis Of Heat Conduction

Section: Chapter Questions

Problem 4.6P

See similar textbooks

Related questions

Q: Q4. (15') A system has a characteristic equation s +4s² + (K +2)s +8= 0 Using Routh stability…

A: The characteristic equation is given as s3+4s2+K+2s+8=0

Q: Consider the unit step response of the unity feedback control system whose open loop transfer…

Q: A certain Feedback control system is described by the following transfer function. k G(s) = (s + 20)…

Q: For the spring -damper-mass system, 3ÿ (t) + 12ý (t) + 12y(t) = 3f (t) 1. find mathematically the…

A: As given the equation for the system : ⇒3y..(t)+12y.(t)+12y(t)= 3f(t) ;⇒ y..(t)+4y.(t)+4y(t)= f(t)…

Q: Consider a unity-feedback system with forward path G(S)= K/(s+1)(s+2)(?+5). Design a Pl controller…

A: The gap between the desired and actual value of a system output in the limit as time advances to…

Q: LEASE GIVE COMPLETE AND DETAILED SOLUTION The oven shown in Figure 1 has a heating element, qi with…

A: Plant transfer function ;Gs=11+RCS =11+502s =11+100s =11+100sController transfer…

Q: Q(s) = S5 + 2S4 + 2S3 + 4S2 + 11S + 10 = 0 i). Identify the stability of the system using Routh…

A: (1) The given characteristic equation is From Routh Hurwitz Algorithm, For the third step, the…

Q: The Routh-Hurwitz criterion to be used to determine the stability of a system with a characteristic…

A: The characteristics equation is given by : Solution : The characteristics equation is given by :…

Q: For the liquid level control system given below, the input is q,(t) and the output is h3(t) then…

A: Process Control System- Process control is the main part of any industry to process, monitor, and…

Q: The close loop system block diagram is given below .Find the transfer function of the given system.…

A: Let us discuss transfer function of given close loop system.

Q: Consider a system defined by C(s) R(s) 5² + 25ws + w Determine the values of and w, so that the…

Q: [3 points] Consider the following system: R(s)+, Y(s) ki kps s+10 (a) What type is this system and…

Q: #3) a) Show that the below given system has the following representation where u=x. 1 £ - el ml %3D…

A: As per rules solved first question only

Q: List five methods that can be used to find the response of the system subjected to arbitrar…

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

Q: Evaluation of a system's error i. A unity feedback system has the following forward transfer…

A: To find the value of gain K to yield a 15% error in the steady state?Please find the answer below

Q: X) 3. Settling time is the time required for the response to rise from (0% to 100%) of its final…

A: (3) Settling time is the time required for the response to rise from 0 to 10%. Therefore, the given…

Q: A Block diagram of a feedback control system is shown in Figure Q3. Using the Block Diagram…

Q: A first – order system and its response to unit step input as in Figure, what is the correct

Q: For the following closed loop control system, the characteristic polynomial is: s5+ 5s4 + 10s3 +…

Q: s)- Characteristic equation for a 5th order system is given as: s5 + 4s4 + 3s3 + s? + 2s + 10 Using…

Q: P4.7 A robot uses feedback to control the orientation of each joint axis. The load effect varies due…

Q: The engine, body, and tires of a racing vehicle affect the acceleration and speed attainable. The…

A: (1) For an open-loop transfer function for a unity gain (K=1), The above system is a type-1 system.…

Q: Find the equivalent closed loop transfer function for the system R(s) E(s) Y(s) 3 s+2 K 10 s+10…

Q: A vibrating spring-mass system has the feedback control system shown in Fig Q3 below. (figure…

A: Given, K=12.25 Gs=Kss+2

Q: The close loop system block diagram is given below .Find the transfer function of the given system.…

A: It is required to find transfer function

Q: Design a compensator such that the unit-step response curve will

Q: Problem 1: For the unity feedback system shown below, specify the gain K of the feedback controller…

Q: P. Pl and PIID controllers were tried to change the response of a system. According to the following…

A: C options

Q: Question 1: For the electromechnanical system given below: a) Draw the detailed block diagram of the…

A: a) the block diagram for the given figure

Q: ssume that we disturb an undamped system from equilibrium. Sketch and explain a system's time…

A: Explaining a system's time response when we disturb an undamped system from equilibrium.

Q: 2) Consider the transfer function of a system below. Please find the range of K for stability: K…

A: Given details: Gs=kS+3S+8S+10S+1+k

Q: b. Use Routh – Hurwitz stability criterion to determine the system having the following function is…

A: Given: Function s3+ 3s2 + 7s + k = 0 To check : Stabilty from Routh Stability criterion:…

Q: A position system is modeled by an ODE: d'x(t) dt dx(t) + 13x(t) = u(t) Compute the Laplace…

Q: 2. Using the Routh stability criterion to determine the range of K for stability. s4 + 3s + 3s² + 2s…

A: Given Characteristic equation is, s4 + 3s3 + 3s2 + 2s + k = 0

Q: Selecting the new closed-loop poles in a location where the dominant closed- loop poles are located…

Q: For the given close-loop system transfer function, determine its stability using Routh-Hurwitz Test…

Q: Explain the difference between transient and steady state response of a system. On what does the…

Q: (s - 1)?s (s² + 1)²s² R(s) C(s) Differential Equation into Transfer Function. d³b 5d²b 4b dt2 2df -…

A: Converting from TF to DE

Q: (s+5)(s+3) We have G(s) as an open-loop transfer function in a unity feedback ar (s+2)? what is the…

A: GS=5+55+35+22→ Closed loop transfer function is TS=G51+G5 = 5+55+35+221+5+55+35+22…

Q: List five methods that can be used to find the response of the system subjected to arbitrary…

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

Q: A system has the following characteristic equation: s+ s+ 3s+ 2s + 2 = 0 Using the Routh-Hurwitz…

Q: Ast A32 A A X, A x Asx Asx Ase A2 1-find a) Input and Output nodes. b) . Forward paths. c) Feedback…

Q: (a) For the system given below, plot the root locus of the characteristic equation as the parameter…

A: a)from characteristic…

Q: 1.151s +0.1774 +0.739s' +0.921s

A: P(s) = 1.51 s + 0.1774s3+ 0.739 s2+ 0.921 s Characteristics equation = s3+ 0.739 s2+ 0.921 s= 0 ----…

Q: A linear, time-invariant system is marginally stable if the natural response: ocillates as time…

A: A linear, time-invariant system is marginally stable if it returns back to its original potision...…

Q: ödalg äbäi What is the the transfer function of the first-order system which has the impulse…

Q: List five methods that can be used to find the response of the system subjected to arbitr…

Q: QI/ The closed loop system shown in Figure below, sketch the root locus and locate the closed-loop…

Q: Problem 2. A linearized state space model of a three blade speed wind turbine with a 15 m radius…

A: Given: To find: Maximum number of poles

Concept explainers

Correction Factor

Correction factor in electrical engineering refers to the factors added to the various existing equations. The electrical installations consist of various electrical components. The correction factors are necessary to compensate for the errors obtained during the measurement, installation, or supply of the power.

Question

For the feedback control system has:
G(s)=-
s(s+2)(s+4)
H(s)=D
s +2s +5
Investigate the stability of the system using Routh Criterion method.

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 with 2 images

SEE SOLUTION Check out a sample Q&A here

Knowledge Booster

Learn more about

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

Similar questions

A system has the following characteristic equation: s+ s+ 3s+ 2s + 2 = 0 Using the Routh-Hurwitz method, checka. How many roots are to the right of the imaginary axis?b. Is the system stable?.
Calculating the separation and / or joining angles in the negative feedback control circuit, if any, given as Controlling (K) and Controlled G (s) = (s + 1) / (s2-4 * s + 5) Explanation: The roots of the equation (s2-4 * s + 5); s1 = 2 + 1 * j and s2 = 2-1 * j and the system Transfer Function is TF (s) = K * G (s) / (1 + K * G (s)). a. There are split angles up to (+108.435) and (-108.435) b. There are split angles as much as (+71,565) and (-71,565) c. There are conjunction angles of (+90) and (-90). D. There are separation angles as much as (+18.435) and (-18.435). E. There are no separation and convergence angles.
For the given close-loop system transfer function, determine its stability using Routh-Hurwitz Test for Stability.1. What is the stability of the system? (Stable, Unstable, Marginally Stable)
Given the system equipped with unitary feedback, whose direct branch transfer function is: Design a PID controller with one of the Ziegler-Nichols methods.
a)is the aircraft stable about the equilibrium represented by the transfer function? b) Using proportional feedback,what is the range of acceptable gains for the closed loop systen to be stable? c) Design a feedback control system that allows the pilot to command a pitch angle with overshoot less than or equal to 4.15% and a natural frequency of greater than or equal to 0.99 rad/s d) Design a feedback control system that allows the pilot to command a pitch angle with the same overshoot and a natural frequency of one half the system in part c.
Q(s) = S5 + 2S4 + 2S3 + 4S2 + 11S + 10 = 0 i). Identify the stability of the system using Routh Hurwitz Algorithm. (ii). Comment about the Roots location.
A vibrating spring-mass system has the feedback control system shown in Fig Q3 below. (figure attached as image ACT)If K = 12.25 determine:6.1 the transfer function ; (3)6.2 the characteristic equation with a impulse input; (1)6.3 the un-damped natural frequency of the system; (2)6.4 the damping ratio; (2)6.5 the damped natural frequency; (2)6.6 the maximum percentage overshoot; (2)6.7 the peak time; (1)6.8 the settling time for the response within 2%. (2)
A stock-flow system models the level of water in a lake. Near a certain equilibrium point, there are three feedback loops: an amplifying feedback loop with strength of +0.55 per month, a stabilizing feedback loop with strength of -0.09 per month, and an amplifying feedback loop with strength of +0.79 per month. Calculate the strength of the overall feedback.
1. Give an example of open loop and closed loop system (one example each). Also state the input, control system, feedback and output parameter. Example. 1. Open Loop - Water Heater: Input - Water Temperature (Cold) System - Heating Element Output - Water Temperature (Hot) 2. Closed Loop - Air-conditioning System Input - Desired Room Temperature Control - Motor controller/Compressor/ACU Feedback - Temperature Sensing Output - Room Temperature
A Block diagram of a feedback control system is shown in Figure Q3. Using the Block Diagram Reduction Method, solve for the output Y(s) when:(i) Input D(s) = 0,(ii) Input R(s) = 0,(iii) Input R(s) and D(s) are both applied (i.e., R(s) ≠ 0 , D(s) ≠ 0).
TIME DOMAIN MODELING AND RESPONSE FOR CONTROL SYSTEMS
Name two effects of negative feedback.