Problem 7. (15 pts] Given the system below, find the following: a. The steady-state error for...
Problem #1 For the system below, find the steady-state error for the inputs 15u(t), 15t(t), and 15t2u(t), respectively. [0, 127.5,] R(s)+ C(s) 2 s+3 4s
The Class Name is: MAE 318 System Dynamics and Control I Problem 1: Steady-state error analvsis (a) A block diagram of a feedback control system is given below. Assuming that the tunable constant Khas a value that makes this closed-loop system stable, find the steady-state error of the closed-loop system for (a a step reference input with amplitude R, r(t)- R u(t) (ii) a ramp reference input with slope R, r(t) = Rt-us(t) R(s) Y(s) (s+2)(s +5) (b) A block...
Question 6: a) Derive and expression for the steady state error of the system described below when a unit ramp function is used as input. r(t) —+ Q G.(s) Gy(s) y(t) H(s) 10 b) Find the steady state error with a ramp input as a function of K, when the transfer functions of the system are given as: Gc= + 3 G p = Gips? +45 +10 and H= 0.1 c) For what values of K would the system have...
Find the steady state error constants and the steady-state error response for the digital control system shown below, if the inputs are: a. Unit Step, u(t) b. Unit Ramp, t u(t) c. Unit Parabola, 0.5t2u(t) 2. R(s) + C(s) s(s 2) T=0.1
control system EE 332 Problem #1 (25 pts) For the following tracking error, find the steady state error for the following system, А E(s) = Y(s) – R(s) = 1+k (5+3)2
For the system shown below state the system type, and find the steady state error for an input of 50u(), 50rl(t), 5012U(t) 2. C(s) (s3) (Hint: Close the inner-loop first to get the standard unity feedback system with loop transfer function G(s)+3 +7s +15 For the system shown below state the system type, and find the steady state error for an input of 50u(), 50rl(t), 5012U(t) 2. C(s) (s3) (Hint: Close the inner-loop first to get the standard unity feedback...
Question #3 (25 points): A unity feedback system has the following forward transfer function: K(s+20)(s +30) G(S) = s(s+25) (s + 35) Find using Matlab: a) The static error constants Kp, Kv and Ka if the inputs are 15u(t), 15tu(t), and 15t u(t). [15 pts b) The steady-state error for the following inputs: 15u(t), 15tu(t), and 15tu(t). [10 pts Question #3 (25 points): A unity feedback system has the following forward transfer function: K(s+20)(s +30) G(S) = s(s+25) (s +...
Given the system below, determine the steady state error for a step input, R 100: R(s) t- s3+15s2+71s+105 C(s) s4+18s3+108s2+216s *Assume k = 1.
Given the system below, determine the steady state error for a unit ramp input: R(s) C(s) s4+20s3+124s+240s Assumek 1
For the feedback control system shown to the right: Find the steady state error with respect to the reference input and the disturbance for step, ramp, and parabolic inputs. Assume the inputs are 2s2 +3s+3 Equation Input Ste Ramp Parabolic H(s) = 1 r(t) = w(t) = 4t2 a. find the error to a step, ramp and parabolic input (reference input) b. find the error to a step. ramp and parabolic input (disturbance input)