A servomechanism position control has the plant transfer function G(s) =10/s(s + I )(s + 10)...
A servomechanism position control has the plant transfer
function G(s) =10/s(s + I )(s + 10)
You are to design a series of compensation transfer function Dc(s)
in the unity feedback configuration to meet the following
closed-loop specifications:
-The response to a reference step input is to have no more than
16%overshoot.
-The response to a ref ere nee step input is to have a rise time of
no more than 0.4 sec.
-The steady-state error to a unit ramp at the reference input must
be less than 0.05.
(a) Design a lead compensation that will cause the system to meet
the dynamic response specifications, ignoring the error
requirement.
(b) What is the velocity constant Kv for your design? Does it meet
the error specification?
(c) Design a lag compensation to be used in series with the lead
you have designed to cause the system to meet the steady-state
error specification.
(d) Give the Matlab plot of the root locus of your final
design.
(e) Give the Matlab response of your final design to a reference
step.
Homework Answers
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A servomechanism position control has the plant transfer
function G(s) =10/s(s + I )(s + 10)...
SOLVE USING MATLAB A servomechanism position control has the plant transfer function 10 s(s +1) (s 10) You are to desig...
SOLVE USING MATLAB
A servomechanism position control has the plant transfer function 10 s(s +1) (s 10) You are to design a series compensation transfer function D(s) in the unity feedback configuration to meet the following closed-loop specifications: . The response to a reference step input is to have no more than 16% overshoot. . The response to a reference step input is to have a rise time of no more than 0.4 sec. The steady-state error to a unit...
A unity feedback system with the forward transfer function G(s)=K/(s+1)(s+3)(s+6) is operating wi...
A unity feedback system with the forward transfer function
G(s)=K/(s+1)(s+3)(s+6) is operating with a closed-loop step
response that has 15% overshoot. Do the following:
a) Evaluate the steady-state error for a unit step input
b) Design a PI control to reduce the steady-state error to zero
without affecting its transient response
c) Evaluate the steady-state error and overshoot for a unit step
input to your compensated system
A unity feedback system with the forward transfer function G(s) is operating with...
Control and System Matlab and Simulink
Design of Lead Compensator With Matlab...G(s) = 9/(s^2+0.5s) and Gc(s) = 1Transfer Function, maximum overshoot...DESIGN of a LEAD COMPENSATOR with MATLABFor the figure below, G(s)=9 / s(s+0.5)a) For the compensator Gc(s)=1 Obtain- Transfer function,- Maximum overshoot and settling time for unit-step input- Drawi. unit step-response curve in MATLAB.ii. unit ramp-response curve in MATLAB.iii. Root- locus curve in MATLAB- Obtain steady state error for unit-ramp inputb) Design a lead compensator Gc(s) to shift the poles at new locations of s₁=-4+j4 and...
Q.4 A position control system is shown in Figure Q4. Assume that K(s) = K, the plant 50 s(0.2s +1) transfer function is given by G(s) s02s y(t) r(t) Figure Q4: Feedback control system. (a) Design a l...
Q.4 A position control system is shown in Figure Q4. Assume that K(s) = K, the plant 50 s(0.2s +1) transfer function is given by G(s) s02s y(t) r(t) Figure Q4: Feedback control system. (a) Design a lead compensator so that the closed-loop system satisfies the following specifications (i) The steady-state error to a unit-ramp input is less than 1/200 (ii) The unit-step response has an overshoot of less than 16% Ts +1 Hint: Compensator, Dc(s)=aTs+ 1, wm-T (18 marks)...
Consider a system modelled by means of the following transfer function 10 G(s) s(s +1)(s +10)...
Consider a system modelled by means of the following transfer function 10 G(s) s(s +1)(s +10) Given the standar negative feedback control structure, and the Bode plot of G(s): 1. Obtain (if possible) a lead compensator controller (C(s) Kc1+ts) that satisfies that the corresponding steady state error with respect to the ramp input is and that the overshoot is not greater than 15 per cent 2. Obtain (if possible) a lead compensator that satisfies that the correspond- ing steady state...
A unity feedback system with the forward transfer function G (s) = s(s+2)(s15) is operating with ...
A unity feedback system with the forward transfer function G (s) = s(s+2)(s15) is operating with a closed-loop step response that has 15% overshoot. Do the following: a) Evaluate the settling time for a unit step input b) Design a PD control to yield a 15% overshoot but with a threefold reduction in settling time; c) Evaluate the settling time, overshoot, and steady-state error with the PD control.
A unity feedback system with the forward transfer function G (s) =...
Lag Compensator Design Using Root-Locus 2. Consider the unity feedback system in Figure 1 for G(s...
Lag Compensator Design Using Root-Locus 2. Consider the unity feedback system in Figure 1 for G(s)- s(s+3(s6) Design a lag compensation to meet the following specifications The step response settling time is to be less than 5 sec. . The step response overshoot is to be less than 17% . The steady-state error to a unit ramp input must not exceed 10%. Dynamic specifications (overshoot and settling time) can be met using proportional feedback, but a lag compensator is needed...
Problem 4. Consider the control system shown below with plant G(s) that has time con- stants...
Problem 4. Consider the control system shown below with plant G(s) that has time con- stants T1 = 2, T2 = 10, and gain k = 0.1. 4 673 +1679+1) (1.) Sketch the pole-zero plot for G(s). Is one of the poles more dominant? Using MATLAB, simulate the step response of the plant itself, along with G1(s) and G2(s) as defined by Gl(s) = and G2(s) = sti + 1 ST2+1 (2.) Design a proportional gain C(s) = K so...
A unity feedback system with the forward transfer function G)2)(s +5) is operating with a closed-...
A unity feedback system with the forward transfer function G)2)(s +5) is operating with a closed-loop step response that has 15% overshoot. Do the following: a) Evaluate the settling time for a unit step input; b) Design a PD control to yield a 15% overshoot but with a threefold reduction in settling time; c) Evaluate the settling time, overshoot, and steady-state error with the PD control.
A unity feedback system with the forward transfer function G)2)(s +5) is operating with...
Problem 1: (20 points) Assume that a standard unity feedback system has the open- loop plant...
Problem 1: (20 points) Assume that a standard unity feedback system has the open- loop plant transfer function: G(S) s(s+3)(s +6) Use Root Locus Methods to design an analog compensator to meet the following specifications: • The step response settling time is less than 5 seconds. • The step response overshoot is less than 17%. • The steady-state error to a unit-ramp input is less than 10%.
SOLVE USING MATLAB
A servomechanism position control has the plant transfer function 10 s(s +1) (s 10) You are to design a series compensation transfer function D(s) in the unity feedback configuration to meet the following closed-loop specifications: . The response to a reference step input is to have no more than 16% overshoot. . The response to a reference step input is to have a rise time of no more than 0.4 sec. The steady-state error to a unit...
A unity feedback system with the forward transfer function
G(s)=K/(s+1)(s+3)(s+6) is operating with a closed-loop step
response that has 15% overshoot. Do the following:
a) Evaluate the steady-state error for a unit step input
b) Design a PI control to reduce the steady-state error to zero
without affecting its transient response
c) Evaluate the steady-state error and overshoot for a unit step
input to your compensated system
A unity feedback system with the forward transfer function G(s) is operating with...
Q.4 A position control system is shown in Figure Q4. Assume that K(s) = K, the plant 50 s(0.2s +1) transfer function is given by G(s) s02s y(t) r(t) Figure Q4: Feedback control system. (a) Design a lead compensator so that the closed-loop system satisfies the following specifications (i) The steady-state error to a unit-ramp input is less than 1/200 (ii) The unit-step response has an overshoot of less than 16% Ts +1 Hint: Compensator, Dc(s)=aTs+ 1, wm-T (18 marks)...
Consider a system modelled by means of the following transfer function 10 G(s) s(s +1)(s +10) Given the standar negative feedback control structure, and the Bode plot of G(s): 1. Obtain (if possible) a lead compensator controller (C(s) Kc1+ts) that satisfies that the corresponding steady state error with respect to the ramp input is and that the overshoot is not greater than 15 per cent 2. Obtain (if possible) a lead compensator that satisfies that the correspond- ing steady state...
A unity feedback system with the forward transfer function G (s) = s(s+2)(s15) is operating with a closed-loop step response that has 15% overshoot. Do the following: a) Evaluate the settling time for a unit step input b) Design a PD control to yield a 15% overshoot but with a threefold reduction in settling time; c) Evaluate the settling time, overshoot, and steady-state error with the PD control.
A unity feedback system with the forward transfer function G (s) =...
Lag Compensator Design Using Root-Locus 2. Consider the unity feedback system in Figure 1 for G(s)- s(s+3(s6) Design a lag compensation to meet the following specifications The step response settling time is to be less than 5 sec. . The step response overshoot is to be less than 17% . The steady-state error to a unit ramp input must not exceed 10%. Dynamic specifications (overshoot and settling time) can be met using proportional feedback, but a lag compensator is needed...
Problem 4. Consider the control system shown below with plant G(s) that has time con- stants T1 = 2, T2 = 10, and gain k = 0.1. 4 673 +1679+1) (1.) Sketch the pole-zero plot for G(s). Is one of the poles more dominant? Using MATLAB, simulate the step response of the plant itself, along with G1(s) and G2(s) as defined by Gl(s) = and G2(s) = sti + 1 ST2+1 (2.) Design a proportional gain C(s) = K so...
A unity feedback system with the forward transfer function G)2)(s +5) is operating with a closed-loop step response that has 15% overshoot. Do the following: a) Evaluate the settling time for a unit step input; b) Design a PD control to yield a 15% overshoot but with a threefold reduction in settling time; c) Evaluate the settling time, overshoot, and steady-state error with the PD control.
A unity feedback system with the forward transfer function G)2)(s +5) is operating with...
Problem 1: (20 points) Assume that a standard unity feedback system has the open- loop plant transfer function: G(S) s(s+3)(s +6) Use Root Locus Methods to design an analog compensator to meet the following specifications: • The step response settling time is less than 5 seconds. • The step response overshoot is less than 17%. • The steady-state error to a unit-ramp input is less than 10%.
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