and1)2)LIUSSConsider the following feedback system, where K is a constant gainG(s) ===1s3 +382 +s+1Let K be a real number. Utilize the Routh-Hurwitz criterion to derivestability conditions for the closed-loop system.Suppose that the reference input r(t) = 1. What are the steady-statetracking errors (ess) for K = 1 and K = 3, respectively?RKG(s)YFigure 2: Control system in Problem 2.

Answered: Image /qna-images/answer/ac749daa-14d3-4c15-98a7-cf4344702624.jpg

Answered: and 1) 2) LIUS S Consider the following…

Elements Of Electromagnetics

7th Edition

ISBN:9780190698614

Author:Sadiku, Matthew N. O.

Publisher:Sadiku, Matthew N. O.

ChapterMA: Math Assessment

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2- Using Matlab, what are the step response curves of the closed-loop system, as shown in fig.1. the feedback represents the second-order dynamic system. (fill in the following table) For=0.4 Wn 1 3 6 9 10 R(S) 0.1 0.3 0.6 0.9 1 For w 5 rad/sec 3 Settling time Peak response 2 Wn s(s+23wn) Settling time Peak response C(s) Discuss the follow Which parameters or w occur on the rise time of the response? Which parameter increases the speed of response? Which parameters can be decreases the response amplitude? Which parameter decreases the steady error state? fig.2
P6. The open loop transfer function of a unity feedback system is K(s+2) G (s) = s(s+3)(s²+2s+10) 1- Find the value of K so that the error steady state for the unit ramp input r(t)=t is less than or equal to 0.01. 2-For the value of K found in part (1), use the Routh method to verify whether the closed loop system is stable.
For the system with open loop transfer function given by R(s) K s(s + 1) (s² + 4s +13) where K is the feedback gain. Sketch the root locus a) How many asymptotes are there for this system's root locus? what are asymptote angles? What is the center of asymptotes? C(s) b) Does the root locus cross the imaginary axis? where and what is the value of K at that point? c) Is there any break away, break in points? What is the approximate values of these points?
A second order plant with unity feedback is cascaded by a proportional controller as shown. If K is 100, 1. HI. Determine its closed-loop poles Y(s)/R(s). Determine its transfer function of E(s)/R(s) Calculate the steady state error of the following block diagram for a unit step R(s) input. iv. Suggest a method to improve on the steady state error. E(s) K pito 7 (s+2)(s+5) Y(s)
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.
1) Consider the system below: Vehicle Controller Steering dynamics Desired Actual bearing angle bearing angle 50 1 K s2 + 10s + 50 s(s + 5) Figure 1: Simplified Block Diagram of a Self-Guiding Vehicle's Bearing Angle Control. • Find a K value that the system has minimum rise time and minimum overshoot. Let us call this proportional gain as Kopt Show each step while finding Kopt- Show the necessary graphical solutions. Simulate the system response with 3 different K values. (Kopt and two other K values close to Kopt) Show the system response (actual bearing angle) in a single graph for different K values. • Comment on the results.
block diagram pls solve fast As Simplify the multiple loop feedback control system? R(s) G₁ G₂ H3 H₂ + G3 H₁ G₁ Y(s)
P6. The open loop transfer function of a unity feedback system is K(s+2) G(s) = s(s+3) (s²+2s+10) 1- Find the value of K so that the error steady state for the unit ramp input r(t)=t is less than or equal to 0.01.
5. A feedback system's open-loop transfer function is K G(s) = s(s+ 3)(s+ 6) 1)Sketch the system root locus. 2)Find the range of K when the system is a stable system.
Consider the plant with transfer function G(s) connected in standard feedback configuration with the controller De(s) = K. 1) 2) = s+2 (s+1)²+1 Sketch the root locus for G(s). Explain what rules you used to plot it. (Be sure to describe the following: the number of branches, where they start and where they are going; the real-axis portion of the root locus; jw-axis crossings (if any); points of multiple roots (if any).) What conditions need to be imposed if we want our closed-loop system to have no oscillations under a step input? Explain the conditions from the root locus. + Ro Σ Dc(s) G(s) Figure 1: Control system in Problem 1.
Evaluation of a system's error i. A unity feedback system has the following forward transfer function: 6.63K G(s) = s(s+1.71)(s+100)
Figure Q2 shows the block diagram of a unity-feedback control system Proportional Controller Plant R(s) C(s). s(3s +1) 5+2s² +4 K 2.1- Determine the characteristic equation. 2.2- Using the Routh-Hurwitz criterion to determine the range of gain, K to ensure stability and marginally stability in the unity feedback syste m.

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