4. (10 points) For the feedback system with open loop transfer function 16/3 a. (6 pts) Draw the Root Locus and Nyquist plot of the system with no 16/3 S41 Using Nyquist stability criterion, find...
(9) Draw a Nyquist plot of the following open-loop transfer function, and determine whether the closed-loop system is stable by using the Nyquist stability criterion. (12 points) Go)HG)(45+8) (9) Draw a Nyquist plot of the following open-loop transfer function, and determine whether the closed-loop system is stable by using the Nyquist stability criterion. (12 points) Go)HG)(45+8)
Sketch the root locus plot of a unity feedback system with an open loop transfer function G(s) = K / s (s+2) (s+4) Determine the value of K so that the dominant pair of complex poles of the system has a damping ratio of 0.5.
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.
[7] Sketch the root locus for the unity feedback system whose open loop transfer function is K G(s) Draw the root locus of the system with the gain K as a variable s(s+4) (s2+4s+20)' Determine asymptotes, centroid,, breakaway point, angle of departure, and the gain at which root locus crosses jw -axis. [7] Sketch the root locus for the unity feedback system whose open loop transfer function is K G(s) Draw the root locus of the system with the gain...
1) Plot the root locus of the system whose characteristic equation is 2) Plot the root locus of the closed loop system whose open-loop transfer function is given as 2s + 2 G(S)H(S)+7s3 +10s2 3) Plot root locus of the closed-loop system for which feedforward transfer function is s + 1 G(S) s( ) St(s - and feedback transfer function is H(S)2 +8s +32 1) Plot the root locus of the system whose characteristic equation is 2) Plot the root...
4. Consider a unity-feedback control system with the following open-loop transfer function: G(s)3 Sketch a Nyquist plot of G(s) and examine the stability of the system.
2. Draw root locus plot for a system with following loop transfer function. Is the system always stable? Give reasons. (2X(10+2.5)-25 points) 2 1 2. Draw root locus plot for a system with following loop transfer function. Is the system always stable? Give reasons. (2X(10+2.5)-25 points) 2 1
Q1. Show analytically that the Root Locus for the unity feedback system with open loop transfer function: (a) [10 marks] K(s 4) (s + 2) is a circle, and find the centre and the radius. Determine the minimum value of the damping ratio and the corresponding value of K (b) The root locus of the open loop transfer function: [10 marks] s(s26s +15) is depicted in Figure Q1(b). Find the minimum value of gain K that will render the system...
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...
6) (15 total points) For the root locus plot shown below: a) b) c) Find the open-loop transfer function G(s) (show as factors) (3 points) Assuming unity feedback H-1, find the characteristic equation of the closed loop transfer function (3 points). Find the gain K that the system goes unstable. Hint: express the characteristic equation in (a) as s2 + 2ơs + -0, and determine the point ơ becomes negative (6 points). Find the natural frequency of the closed loop...