PROBLEM 4 Suppose that a system is shown in Figure 4. There are three controllers that might be incorporated into this system. 1. Ge (s)-K (proportional (P) controller) 2. GS)K/s (integral (I) controller) 3. G (s)K(1+1/s) (proportional, integral (PI) controller) The system requirements are T, < 10 seconds and P0 10% for a unit step response. (a) For the (P) controller, write a piece of MATLAB code to plot root locus for 0<K<,and find the K value so that the...
Q1. Draw the bode plot for each of the following systems. Compare your sketches with the plots obtained using the 'bode' command in MATLAB. a) Gs)4000 (s +40) e Gs) 1005+4) s(s+Is 25+5) Q1. Draw the bode plot for each of the following systems. Compare your sketches with the plots obtained using the 'bode' command in MATLAB. a) Gs)4000 (s +40) e Gs) 1005+4) s(s+Is 25+5)
Given the following system, where Gs(s) - -e2) Given the following system, where Gc(s) S+3 3s++2) and H(s)s R(S) . Gc(s) G(s) Y(s) SOLVE IN MATLAB CODE ONLY Obtain the transfer function of the system above. Find zeros, poles, and gain of the transfer function and plot zeros and poles. Rewrite the transfer function using the partial fraction expansion. Graph the Step response. Graph the impulse response.
Problem 8.1: Use any method to find GS of )x(t)+c) 1 -1 Problem 8.1: Use any method to find GS of )x(t)+c) 1 -1
please show work, thank you! Problem 5.1: Find the GS for y'"' + y" + y' + y = 1 + e* + e-* + e2x + e-2x Problem 5.2: Find the GS for y(4) – y(3) – y(2) – y(1) – 2y = 1 + x + x2 + x3
help Consider the closed-loop system in Figure E5.19. where Gs)G 3s and H(s) -K (a) Determine the closed-loop transfer function T(s) Y(s)/R(s). (b) Determine the steady-state error of the closed-loop system response to a unit ramp input, R(s) 1/s (c) Select a value for Ka so that the steady-state error of the system response to a unit step input, R(s)1/s, is zero.
Q.10- For the system shown in Figure 5 with K (s + 3)(s +5) Gs)s-2)s-4) Find the range of gain, K, which will cause the system to be stable. Cs) Q.11. Draw the Root Locus of the following systems. Find the points of intersection with the real and imaginary axis. 6(s)H(s)- s(s +2) K(s+5) of- Draw the Bode diagram of the following tmamsfer finction. His)- -100 s +12s +21s +10 213- Obtain the phase and gain margins of the system...
Control Engineering if it has HS C(S) R(s) E(s) Gs) B(S) Fig.I 3) Test the systems stability using Routh's array for a control system shown in Fig.1 if it has H(s)-1/(S+5), G(s)-k/[S(s+3)1, k-20? Find the critical gain K?
Find the inverse Laplace transform of F(s) 393 +592 + 17s + 35 $4 + 13s2 + 36 (1) First find the partial fraction decomposition Cs + D F(s) As + B (s2 +9) + /(82 +9+ /(+ 4) (52 +4) (2) Next find the inverse Laplace transform f(t) =
Find the digital equivalent of G(s) = (s−1)/(s(s+1)) using the step response equivalent with T = 0.1 sec.