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Control systems
The block agam of a linear control system is chou a) Find the steady-state...
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...
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)
1- Consider the block diagram of a control system shown in Fig. 1 Rts) E ts) C(s) Gt-11027 20s Fi...
1- Consider the block diagram of a control system shown in Fig. 1 Rts) E ts) C(s) Gt-11027 20s Fig. 1 a) Find the open-loop transfer function of the system. b) Determine the system type and open-loop gain in terms of K and K, c) Find the steady-state errors of the system in terms of K and K,when the following reference inputs are applied: a. Unit ramp reference input: ) b. Parabolic reference input: r()
1- Consider the block diagram...
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
Question 6: a) Derive and expression for the steady state error of the system described below...
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...
4. (4 Marks) The linear model of a phase detector (phase-lock-loop) can be represented by figure 4. Voltage-controlled oscillator Amplifier Filter LE Figure 4 Phase locked loop The phase-lock systems...
4. (4 Marks) The linear model of a phase detector (phase-lock-loop) can be represented by figure 4. Voltage-controlled oscillator Amplifier Filter LE Figure 4 Phase locked loop The phase-lock systems are designed to maintain zero difference in phase betweer the input carrier signal and a local voltage controlled oscillator. Phase lock loops find application in colour television, missile tracking and space telemetry. The filter for a particular application is chosen as: 10(s +10) (s +D(s +100) F(s) It is desired...
Please code on MATLAB and explain D) only. Thank you The block diagram of a linear...
Please code on MATLAB and explain D) only. Thank you
The block diagram of a linear control system is shown in the Fig., where r(t) is the reference input and n(t) is the disturbance. (a) Find the steady-state value of e(t) when n(t) = 0 and r(t) tuz(t). Find the conditions on the values of a and K so that the solution is valid. N(s) R(S) E(S) S + a K(s + 3) Y(s) S (5² - 1) Controller Process...
3. a) Find a state space representation for a linear system represented by the following differen...
3. a) Find a state space representation for a linear system represented by the following differential equation, where v(t) denotes the input and y(1) is the output: b) Consider a linear system represented by the following differential equation, where x() denotes the input and y(t) is the output: )+4()+4y()x(t) i) Write down its transfer function and frequency response function i) What is the form of the steady state response of the above system due to a periodic input that has...
2. A feedback control system is subject to disturbances at the actuator input, as shown in the following block diagram. Remember that you need to use the final value theorem (and not the table) when...
2. A feedback control system is subject to disturbances at the actuator input, as shown in the following block diagram. Remember that you need to use the final value theorem (and not the table) when dealing with any other input other than the reference. See the last 3 pages, 12-15, of my steady-state error lecture notes for examples on how to deal with disturbance rather than reference inputs D(s) 1 Y(s) $3+2s2+2s If the reference command is r(t) 1S 0,...
(2) Given the system -3 2 (t) =1-1-1 with zero initial conditions, find the steady-state value of...
(2) Given the system -3 2 (t) =1-1-1 with zero initial conditions, find the steady-state value of the state vector r for a unit step input a(t) = 1(t).
(2) Given the system -3 2 (t) =1-1-1 with zero initial conditions, find the steady-state value of the state vector r for a unit step input a(t) = 1(t).
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...
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)
1- Consider the block diagram of a control system shown in Fig. 1 Rts) E ts) C(s) Gt-11027 20s Fig. 1 a) Find the open-loop transfer function of the system. b) Determine the system type and open-loop gain in terms of K and K, c) Find the steady-state errors of the system in terms of K and K,when the following reference inputs are applied: a. Unit ramp reference input: ) b. Parabolic reference input: r()
1- Consider the block diagram...
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
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...
4. (4 Marks) The linear model of a phase detector (phase-lock-loop) can be represented by figure 4. Voltage-controlled oscillator Amplifier Filter LE Figure 4 Phase locked loop The phase-lock systems are designed to maintain zero difference in phase betweer the input carrier signal and a local voltage controlled oscillator. Phase lock loops find application in colour television, missile tracking and space telemetry. The filter for a particular application is chosen as: 10(s +10) (s +D(s +100) F(s) It is desired...
Please code on MATLAB and explain D) only. Thank you
The block diagram of a linear control system is shown in the Fig., where r(t) is the reference input and n(t) is the disturbance. (a) Find the steady-state value of e(t) when n(t) = 0 and r(t) tuz(t). Find the conditions on the values of a and K so that the solution is valid. N(s) R(S) E(S) S + a K(s + 3) Y(s) S (5² - 1) Controller Process...
3. a) Find a state space representation for a linear system represented by the following differential equation, where v(t) denotes the input and y(1) is the output: b) Consider a linear system represented by the following differential equation, where x() denotes the input and y(t) is the output: )+4()+4y()x(t) i) Write down its transfer function and frequency response function i) What is the form of the steady state response of the above system due to a periodic input that has...
2. A feedback control system is subject to disturbances at the actuator input, as shown in the following block diagram. Remember that you need to use the final value theorem (and not the table) when dealing with any other input other than the reference. See the last 3 pages, 12-15, of my steady-state error lecture notes for examples on how to deal with disturbance rather than reference inputs D(s) 1 Y(s) $3+2s2+2s If the reference command is r(t) 1S 0,...
(2) Given the system -3 2 (t) =1-1-1 with zero initial conditions, find the steady-state value of the state vector r for a unit step input a(t) = 1(t).
(2) Given the system -3 2 (t) =1-1-1 with zero initial conditions, find the steady-state value of the state vector r for a unit step input a(t) = 1(t).
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