ps) and please give me bandwidth equation for b !, thank you Answer the questions about...
more detil b thank you so much !! Answer the questions about the following loop transfer function. (a) Draw the Bode Plot. (b) Find the bandwidth of the closed loop system. 150 L(s)- I)(s+10)
Question: given a differential equation: a. initial conditions for the plan and input are zero, derive plan's transfer function in Laplace transform b. using inverse Laplace transform, find the solution for the differential equation for the plan (find function y(t)). c. derive state-space model of the plan d. Assume open-loop system with no controller added to the plant, analyse the steady-state value of the system using final value theorem and step input e. Calculate value of the overshoot, rise time...
Please help as much as you can, I want to use this probem as a study guide for the final so any and all help / code is super appreciatted. Thanks Consider a simple direct current motor with transfer function 10 P(s) = 2s2+s (a) Plot a Bode plot for the plant's transfer function. (b) Design a PD-controller that gives a closed loop bandwidth, wBw, of at least 10 rad/sec and has a phase margin of at least 30°· Using...
Please show all work and write neatly so I can understand how to do this on my own. Thank you. The transfer function of the given physical system is 2500 Gp(s)- P21000 The physical system is controlled with a unity-feedback system shown below, E(s) R(s) + (a) Draw the bode plot of open-loop transfer function when K-1. (b) Use bode plot of open-loop transfer function to determine the type of system (do not use transfer function) The transfer function of...
please show steps 5. GH(s) is a minimum-phase system which has the Bode plot shown below. It is desired to increase the phase margin by 40 degrees and also increase the closed-loop system bandwidth. Design a lead compensator for this purpose. Determine (1) the ratio of the pole to the zero, α , (2) the frequency where the maximum phase shift from the compensator should be placed, and then (3) the pole and zero. You need not draw the Bode...
I got A,B,C done can you do D,E,F Also can you check my solutions please. Thank you ? Question 1 - Consider an unit feedback system whose open-loop transfer function is G(s)-k/ ((s + 1)(s 2 +4s 25)) A. Draw Bode plot of the open-loop system for k-75 B. Calculate the phase and magnitude of G(s) at 1 rad/s for k 75 C. Determine the cross-over frequency, and the phase and gain margins for k-75 (14 marks D. What is...
Please show all work and answer all the questions so I can learn how to do it on my own. Thank you in advance. (GM,PM,wcg,wepl-margin(sys) computes the gain margin GM, the phase margin PM, and the associated frequencies weg and wep. They can also be read from the Bode plot. G(s) R(s) EX G(s)- (s +10(s+1)2 Questions Draw the Bode plot when K-1, find the gain margin, and determine the closed-loop stability. (b) Convert the gain margin to a normal...
Please solve parts (a) and (b) neatly and show problem solving. Ignore reference to part 1, but please still plot the root loci. For the system given in Figure 1 a) Design a PD compensator with the transfer function: to give a dominant root of the closed-loop characteristic equation of the compen- sated system at s -1+j1 (i.e., a settling time Ts of less than 6 seconds and a maximum overshoot Mo of less than 10%). Required Pre-Practical work] (b)...
Answer all parts and show all work. Design a Pl or PDcontroller for the system Go)+ 10 to meet the following specifications Zero steady state error for unit step reference input ·4 < 0.12s . %OS < 10%. (a) Determine the low frequency gain, crossover frequency and phase margin necessary to meet the (b) Decide if C() needs an integrator. Plot the Bode plot of either G(s) or G(o)/s, depending on (c) Use sisotool (or iteration) to choose a gain...
A unity gain negative feedback system has an open-loop transfer function given by 4. s) = s(1 + 10s)(1 + 10s)? Draw a Bode diagram for this system and determine the loop gain K required for a phase margin of 20 deg. What is the gain margin? 5. We are given the closed-loop transfer function 10(s + 1) T(s) = 82+98+10 for a "unity feedback" system and asked to find the open-loop transfer function, generate a log-magnitude-phase plot for both...