Show all your work leading up to tne laT JUlu (1) Plot the poles and zeros of the following transfer functions. Also, identify if the transfer function represents a stable system. (20) (s+2)(s-5) (s+4) (s2+6s)(s2 +16) s(s+4)(s+7) (s+2) (s+3) (s2+9) (s2+4s2+13s) (s-1)(s2+10s+34) C. (22
Show all your work leading up to tne laT JUlu (1) Plot the poles and zeros of the following transfer functions. Also, identify if the transfer function represents a stable system. (20) (s+2)(s-5) (s+4) (s2+6s)(s2 +16)...
Q-3) ine transfer function of a system nas a zero at s = 1, and poles at s =-2 and 5 = -3. The steady state value of the response to a unit step is -2. a) Find the impulse response of the system. b) Find the response to a unit ramp. c) Find the response to sint. @ Restart to install the latest Wine updates We haven't been able to update device. Leave it on and plugged we'll try...
' 1. Review Question a) Name three applications for feedback control systems. b) Functionally, how do closed-loop systems differ from open-loop systems? c) Name the three major design criteria for control systems. d) Name the performance specification for first-order systems. e) Briefly describe how the zeros of the open-loop system affect the root locus and the transient response. What does the Routh-Hurwitz criterion tell us? f) 2. Given the electric network shown in Figure. a) Write the differential equation for...
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.
4. Consider the transfer function, Y(s)_ 3 F(s) + s(s2 + 2s + 4) (a) Qualitatively, what is the time response y(t) if f(t) represents a unit-step input? What is the value of y(t) when time is sufficiently large? What is the time constant that we may use to evaluate the "speed" of response? (b) Repeat step (a) if f(t) represents an impulse input. What is y(t) when time is sufficiently large?
Consider a plant with transfer function 5- Gp(s) = s2 Design a proper compensator Gc(s) and a gain p for the feedback system shown below so that the resulting system has all poles at s=-2, and the output C(s) will track asymptotically any step reference input R(s). Find the resulting overall transfer function T(s) R(s) Consider a plant with transfer function 5- Gp(s) = s2 Design a proper compensator Gc(s) and a gain p for the feedback system shown below...
3. Work the following problems: a. The transfer function of a system is: Y(s)/R(s) = 15(s+1)/(s2+9s+14). Determine y(t) when r(t) is a unit step input. b. Consider the following system: R(s)_ 0 G(s) i. Find the closed-loop transfer function Y(s)R(S) when G(s) = 10/(S2+2s+10) ii. Determine Y(s) when the input R(s) is a unit step. iii. Compute y(t).
Using the Following Functions G(s) = 1 and H(s) = 1 1. Enter the G(s) and H(s) functions. (Take advantage of using either symbolic tool or entering vector format with Commands like tf to generate the transfer function.) Your goal is to find the following a) X(5) - O Y ) Cascade system b) XI(6) — 6) → Y(s) Parallel System X2(8) — 20) R(S) O G() Yes H(s) Feedback System (Hint: Use commands like cascade(tf), parallel(tf) and feedback(tt)) 2....
this problem needs to be done using SciLab
9. A control system is given by the following state-space representation -8 101 [2 dt 1-6 00 y [1 0 0]x Please do the following: a. Find its transfer function representation. b. Calculate its zeros and poles c. Write a Scilab program to draw the step response and impulse response graphs in the same window with the step response graph in the upper half the window and the impuise response graph in...
2.6.1-2.6.62.6.1 Consider a causal contimuous-time LTI system described by the differential equation$$ y^{\prime \prime}(t)+y(t)=x(t) $$(a) Find the transfer function \(H(s)\), its \(R O C\), and its poles.(b) Find the impulse response \(h(t)\).(c) Classify the system as stable/unstable.(d) Find the step response of the system.2.6.2 Given the impulse response of a continuous-time LTI system, find the transfer function \(H(s),\) the \(\mathrm{ROC}\) of \(H(s)\), and the poles of the system. Also find the differential equation describing each system.(a) \(h(t)=\sin (3 t) u(t)\)(b)...