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(25 Problem 3: Steady State Error. Consider Iaput Rs) Output Cs) KGG) with the following transfer...
Determine the gain K, to obtain a steady state error of 0.10: *Hint, What type is the transfer fu...
Determine the gain K, to obtain a steady state error of
0.10:
*Hint, What type is the transfer function?
**Assume the input is a unit input (i.e. step, ramp, or
parabola)
Determine the gain K, to obtain a steady state error of 0.10: "Hint, What type is the transfer function? "Assume the input is a unit input (i.e. step, ramp, or parabola) R(s) C(s) t- s2+12s+32 s2+5s+6
Determine the gain K, to obtain a steady state error of 0.10: "Hint,...
For the feedback control system shown to the right: Find the steady state error with respect...
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)
Problem 1: Steady-state error analvsis (a) A block diagram of a feedback control system is given ...
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...
Find the steady state error constants and the steady-state error response for the digital control system...
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
Need help with 1a and 1b. Please show all work I (a) The unit step response...
Need help with 1a and 1b. Please show all work
I (a) The unit step response of a linear control system is shown below: 1.35 1.0 0 0.1 (sec) Find the transfer function of the second-order prototype system to model the system (b) The block diagram of a unity feedback control system is shown below. Find the step-, ramp-, and parabolic-error constants. The error signal is defined to be e(t). Find the steady-state errors in terms of K and Kt...
Solve for PART C Only a = -4.5 b = +3.3i Prob. 2. (25 pts) Consider...
Solve for PART C
Only
a = -4.5
b = +3.3i
Prob. 2. (25 pts) Consider the following unity feedback control system Controller Plant R(S) toE(s) Gc(s) C($) 52 + 1) a) (10pts)Design a PID controller to locate the desired root at Sdesired = a + jß to meet the following design specifications: i) PO < 35% (5 > 0.35) ii) ts < 3 sec iii) The steady-state error is zero for the unit step response. b) (5pts) Sketch the...
Question #3 (25 points): A unity feedback system has the following forward transfer function: K(s+20)(s +30) G(S) =...
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 +...
Q.3(a) Transfer function model of a plant is, G(s) The controller is Ge(s)-K, where K is a constant. Find the value of K such that steady-state error for unit ramp input is 0.1. Find the gain margin...
Q.3(a) Transfer function model of a plant is, G(s) The controller is Ge(s)-K, where K is a constant. Find the value of K such that steady-state error for unit ramp input is 0.1. Find the gain margin and the phase mar gin (6 marks) (b) What are the effects on gain margin, phase margin and steady-state error, if the gain K is increased? (3 marks (c) Can the closed loop be unstable if the controller of Q.3(a) is implemented digi...
Problem 3 A unity feedback system has the loop transfer function G(s) = Kata) s(s +...
Problem 3 A unity feedback system has the loop transfer function G(s) = Kata) s(s + (a) Find the breakway and entry points on the real axis. (b) Find the gain and the roots when the real part of the complex roots is located at -2 (c) Sketch the root locus. Problem 4 The forward path G(s) of a unity feedback system with input R(s) and output Y (s) is given by G(o) 106I) (a) What is the type of...
Problem 1 The following transfer functions are given for a single-loop unity- feedback (H(s)-1) and nonunity-...
Problem 1 The following transfer functions are given for a single-loop unity- feedback (H(s)-1) and nonunity- feedback control system. Find the steady-state errors for both cases due to a unit-step input 1(t),a unit-ramp inputt1(t), and a parabolic input (t2/2)1() (a) Go)+2) (b) Go)5 H(s) = 5 a) G)+12) ( H(s)-5(s + 2) 2)
Determine the gain K, to obtain a steady state error of
0.10:
*Hint, What type is the transfer function?
**Assume the input is a unit input (i.e. step, ramp, or
parabola)
Determine the gain K, to obtain a steady state error of 0.10: "Hint, What type is the transfer function? "Assume the input is a unit input (i.e. step, ramp, or parabola) R(s) C(s) t- s2+12s+32 s2+5s+6
Determine the gain K, to obtain a steady state error of 0.10: "Hint,...
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)
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...
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
Need help with 1a and 1b. Please show all work
I (a) The unit step response of a linear control system is shown below: 1.35 1.0 0 0.1 (sec) Find the transfer function of the second-order prototype system to model the system (b) The block diagram of a unity feedback control system is shown below. Find the step-, ramp-, and parabolic-error constants. The error signal is defined to be e(t). Find the steady-state errors in terms of K and Kt...
Solve for PART C
Only
a = -4.5
b = +3.3i
Prob. 2. (25 pts) Consider the following unity feedback control system Controller Plant R(S) toE(s) Gc(s) C($) 52 + 1) a) (10pts)Design a PID controller to locate the desired root at Sdesired = a + jß to meet the following design specifications: i) PO < 35% (5 > 0.35) ii) ts < 3 sec iii) The steady-state error is zero for the unit step response. b) (5pts) Sketch the...
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 +...
Q.3(a) Transfer function model of a plant is, G(s) The controller is Ge(s)-K, where K is a constant. Find the value of K such that steady-state error for unit ramp input is 0.1. Find the gain margin and the phase mar gin (6 marks) (b) What are the effects on gain margin, phase margin and steady-state error, if the gain K is increased? (3 marks (c) Can the closed loop be unstable if the controller of Q.3(a) is implemented digi...
Problem 3 A unity feedback system has the loop transfer function G(s) = Kata) s(s + (a) Find the breakway and entry points on the real axis. (b) Find the gain and the roots when the real part of the complex roots is located at -2 (c) Sketch the root locus. Problem 4 The forward path G(s) of a unity feedback system with input R(s) and output Y (s) is given by G(o) 106I) (a) What is the type of...
Problem 1 The following transfer functions are given for a single-loop unity- feedback (H(s)-1) and nonunity- feedback control system. Find the steady-state errors for both cases due to a unit-step input 1(t),a unit-ramp inputt1(t), and a parabolic input (t2/2)1() (a) Go)+2) (b) Go)5 H(s) = 5 a) G)+12) ( H(s)-5(s + 2) 2)
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