control system
1. The open loop transfer function of a unity feedback system is given by \(\frac{K}{(S+2)(S+4)\left(S^{2}+6 S+25\right)}\)
.By applying routh criterion, discuss the stability of the closed loop system as a function of \(\mathrm{K}\) which will cause sustained oscillations in the closed-loop system. What are corresponding oscillation frequencies.
Homework Answers
Can you please explain how to work these problems by doing at least one of them...
Can you please explain how to work these problems by doing at
least one of them fully with explanation? Also I thought
Routh-Hurwitz only uses the denominator, so how can I answer be a
function of K?
6-5. Given the forward-path transfer function of unity-feedback control systems, Kis + 4/s + 20) Kls + 10) s + 20) (a) G(s) + 100)(8 + 500) (b) G(8) ls + 2) K K + 1) (c) G (c) G(8) " 3/8 +...
3. For the feedback control system shown in Figure Q3 below, the forward-path transfer function given...
3. For the feedback control system shown in Figure Q3 below, the forward-path transfer function given by G(s) and the sensor transfer function is given by H(s). R(s) C(s) G(s) H(s) Figure Q3 It is known that G(s) -- K(+20) S(+5) H(s) = and K is the proportional gain. (S+10) i. Determine the closed-loop transfer function and hence the characteristic equation of the system. [6 marks] ii. Using the Routh-Hurwitz criterion, determine the stability of the closed-loop system. Determine the...
In the figure below given is the block diagram representation of the DC motor position control sy...
In the figure below given is the block diagram representation of the DC motor position control system with a combined unity feedback and rate (tachometer) feedback. 2. C(s) R(s) Kp 0.25s+1 s+1 Kv Determine the characteristic polynomial of the closed loop transfer function Using Routh criterion, determine the range for Kp and Kv which make the closed loop system stable. Draw the admissible region for stability on Kv versus Kp plane.
In the figure below given is the block diagram...
Discuss the mathematical requirements for stability in a linear feedback system and state the Rou...
Discuss the mathematical requirements for stability in a linear feedback system and state the Routh Stability criterion. (6 marks) (a) The open loop transfer function of a control system with unity feedback is given by: (b) 35 s(1 + Ts) (1 +0.25s) G(s) - Use Routh's criterion to determine the value of T for which the closed loop system is marginally stable. (8 marks) i Use the Nyquist criterion to confirm the values obtained in (i). (8 marks) ii Sketch...
Question 2 System Stability in the s-Domain and in the Frequency Domain: Bode Plots, Root Locus...
Question 2 System Stability in the s-Domain and in the Frequency Domain: Bode Plots, Root Locus Plots and Routh- Hurwitz Criterion ofStability A unit feedback control system is to be stabilized using a Proportional Controller, as shown in Figure Q2.1. Proportional Controller Process The process transfer function is described as follows: Y(s) G(s) s2 +4s 100 s3 +4s2 5s 2 Figure Q2.1 Your task is to investigate the stability of the closed loop system using s-domain analysis by finding: a)...
A unity feedback control system has the following open loop transfer function, K L(s) .If K 10, evaluate the stability...
A unity feedback control system has the following open loop transfer function, K L(s) .If K 10, evaluate the stability condition of the system using the s(s-1) Nyquist stability criterion.
A unity feedback control system has the following open loop transfer function, K L(s) .If K 10, evaluate the stability condition of the system using the s(s-1) Nyquist stability criterion.
4) A unity feedback control system shown in Figure 2 has the following controller and process with the transfer functions: m(60100c Prs(s +10(s+7.5) a) Obtain the open- and closed-loop transfer f...
4) A unity feedback control system shown in Figure 2 has the following controller and process with the transfer functions: m(60100c Prs(s +10(s+7.5) a) Obtain the open- and closed-loop transfer functions of the system. b) Obtain the stability conditions using the Routh-Hurwitz criterion. e) Setting by trial-and-error some values for Kp, Ki, and Ko, obtain the time response for minimum overshoot and minimum settling time by Matlab/Simulink. Y(s) R(s) E(s) Fig. 2: Unity feedback control system
4) A unity feedback...
3. Construct the bode plot on a semilog Graph-paper for a unity feedback system whose open...
Construct the bode plot on a semilog Graph-paper for a unity feedback system whose open looptransfer function is given by \(G(S)=\frac{100}{S(S+1)(2+S)} .\) From the bode plot determinea) Gain and phase crossover frequencies.b) Gain and Phase margin, andc) Stability of the closed loop system
PROBLEM 2 Suppose that a system is shown in Figure 2. Based on for loop, write a piece of MATLAB code to calculate the closed loop poles for 0sKs5 and plot the outputs where the poles are represented...
PROBLEM 2 Suppose that a system is shown in Figure 2. Based on for loop, write a piece of MATLAB code to calculate the closed loop poles for 0sKs5 and plot the outputs where the poles are represented by "W" letter. Find the interval of K parameter for stability using Routh-Hurwitz method. Calculate the poles of the closed loop transfer function where K attains the minimum value such that the system is stable. R(s) 52(K - 3)s + K Figure...
Please solve it with step by step MATLAB code, thank you! Suppose that a system is shown in Figure 2. Based on for loop, write a piece of MATLAB code to calculate the closed loop poles for 03K35 and...
Please solve it with step by step MATLAB code, thank you!
Suppose that a system is shown in Figure 2. Based on for loop, write a piece of MATLAB code to calculate the closed loop poles for 03K35 and plot the outputs where the poles are represented by "W" letter. Find the interval of K parameter for stability using Routh-Hurwitz method. Calculate the poles of the closed loop transfer function where K attains the minimum value such that the system...
Can you please explain how to work these problems by doing at
least one of them fully with explanation? Also I thought
Routh-Hurwitz only uses the denominator, so how can I answer be a
function of K?
6-5. Given the forward-path transfer function of unity-feedback control systems, Kis + 4/s + 20) Kls + 10) s + 20) (a) G(s) + 100)(8 + 500) (b) G(8) ls + 2) K K + 1) (c) G (c) G(8) " 3/8 +...
3. For the feedback control system shown in Figure Q3 below, the forward-path transfer function given by G(s) and the sensor transfer function is given by H(s). R(s) C(s) G(s) H(s) Figure Q3 It is known that G(s) -- K(+20) S(+5) H(s) = and K is the proportional gain. (S+10) i. Determine the closed-loop transfer function and hence the characteristic equation of the system. [6 marks] ii. Using the Routh-Hurwitz criterion, determine the stability of the closed-loop system. Determine the...
In the figure below given is the block diagram representation of the DC motor position control system with a combined unity feedback and rate (tachometer) feedback. 2. C(s) R(s) Kp 0.25s+1 s+1 Kv Determine the characteristic polynomial of the closed loop transfer function Using Routh criterion, determine the range for Kp and Kv which make the closed loop system stable. Draw the admissible region for stability on Kv versus Kp plane.
In the figure below given is the block diagram...
Discuss the mathematical requirements for stability in a linear feedback system and state the Routh Stability criterion. (6 marks) (a) The open loop transfer function of a control system with unity feedback is given by: (b) 35 s(1 + Ts) (1 +0.25s) G(s) - Use Routh's criterion to determine the value of T for which the closed loop system is marginally stable. (8 marks) i Use the Nyquist criterion to confirm the values obtained in (i). (8 marks) ii Sketch...
Question 2 System Stability in the s-Domain and in the Frequency Domain: Bode Plots, Root Locus Plots and Routh- Hurwitz Criterion ofStability A unit feedback control system is to be stabilized using a Proportional Controller, as shown in Figure Q2.1. Proportional Controller Process The process transfer function is described as follows: Y(s) G(s) s2 +4s 100 s3 +4s2 5s 2 Figure Q2.1 Your task is to investigate the stability of the closed loop system using s-domain analysis by finding: a)...
A unity feedback control system has the following open loop transfer function, K L(s) .If K 10, evaluate the stability condition of the system using the s(s-1) Nyquist stability criterion.
A unity feedback control system has the following open loop transfer function, K L(s) .If K 10, evaluate the stability condition of the system using the s(s-1) Nyquist stability criterion.
4) A unity feedback control system shown in Figure 2 has the following controller and process with the transfer functions: m(60100c Prs(s +10(s+7.5) a) Obtain the open- and closed-loop transfer functions of the system. b) Obtain the stability conditions using the Routh-Hurwitz criterion. e) Setting by trial-and-error some values for Kp, Ki, and Ko, obtain the time response for minimum overshoot and minimum settling time by Matlab/Simulink. Y(s) R(s) E(s) Fig. 2: Unity feedback control system
4) A unity feedback...
Construct the bode plot on a semilog Graph-paper for a unity feedback system whose open looptransfer function is given by \(G(S)=\frac{100}{S(S+1)(2+S)} .\) From the bode plot determinea) Gain and phase crossover frequencies.b) Gain and Phase margin, andc) Stability of the closed loop system
PROBLEM 2 Suppose that a system is shown in Figure 2. Based on for loop, write a piece of MATLAB code to calculate the closed loop poles for 0sKs5 and plot the outputs where the poles are represented by "W" letter. Find the interval of K parameter for stability using Routh-Hurwitz method. Calculate the poles of the closed loop transfer function where K attains the minimum value such that the system is stable. R(s) 52(K - 3)s + K Figure...
Please solve it with step by step MATLAB code, thank you!
Suppose that a system is shown in Figure 2. Based on for loop, write a piece of MATLAB code to calculate the closed loop poles for 03K35 and plot the outputs where the poles are represented by "W" letter. Find the interval of K parameter for stability using Routh-Hurwitz method. Calculate the poles of the closed loop transfer function where K attains the minimum value such that the system...
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