Control Systems Engineering
7th Edition
ISBN: 9781118170519
Author: Norman S. Nise
Publisher: WILEY
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Chapter 11, Problem 3RQ
Briefly explain how a lag network allows the low-frequency gain to be increased to improve steady-state error without having the system become unstable.
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For the feedback control system has:
G(s)=-
s(s+2)(s+4)
H(s)=D
s +2s +5
Investigate the stability of the system using Routh Criterion method.
7. Carombayenin
For the closed loop system, find the
(1) The range of values of K for stability
(2) The value of K such that the maximum overshoot is 5% with a rise time of less than 1.3 s
G(s)
=
K(s + 2)
s² + 2s + 3
H(s) = 1
A closed-loop system has an error
a
function E(s)
s(s²+2s+b)'
88 and b=4.
=
with a =
=
Calculated the steady-state error.
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Control Systems Engineering
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- b. Use Routh - Hurwitz stability criterion to determine the system having the following function is stable. s 3+ 3s?+ 7s +k = 0arrow_forwardAmplitude Given the system unit-step response, determine maximum overshoot, settling time and steady-state error * 1.4 1.2 0.8 0.6 0.4 0.2 0,35 0.05 0.1 Step Response 0.15 0.2 Time (sec) 0.25 0.3 0.35arrow_forwardThe Routh-Hurwitz criterion to be used to determine the stability of a system with a characteristic equation given by 85 + 2s4 + 2s3 + 4s² + 11s + 10 Comment on the stability of the system. Neutral Stable Unstablearrow_forward
- 1.block diagram physical meaning and the time response for different inputsarrow_forward1) Determine the steady-state (forced) response and the time constant (or dominant time constant) for each of these systems: a. x+ 2x = 0 with x(0) = 10 b. 4x + 8x + 40x = 20 with x(0) = 0 and x(0) = 0 10x + 4x = 24 with x(0) = 0 C. d. *+ 34x + 64x = 8 with x(0) = 0 and x(0) = 0arrow_forwardPLEASE GIVE COMPLETE AND DETAILED SOLUTION The oven shown in Figure 1 has a heating element, qi with capacitances C = 50 J/K. The corresponding temperature is T and ambient temperature is Ta. The thermal resistance of the oven wall is R = 2 K-s/J. The system has a steady-state error in the response, T(t) to a change in the reference input. The steady state error can be reduced if a proportional control action, Kp is included in the controller. Determine the range of values of Kp of the system so that the steady state error is lower than 0.4. (Hint: Kindly determine the steady state error at value 0.4)arrow_forward
- (c) An electronic Pl temperature controller has an output p of 15 mA when the set point equals the nominal process temperature. The controller response to step change in the temperature set point of 3 mA is shown below. t(s) 0- 0+ 20 60 80 Determine the controller gain K, and the integral time.r p (mA) 8,0 6,8 6.0 4.4 3.6arrow_forwardA mobile robot using a vision system as the measurement device is shown in the figure below. The control system is shown in figure (b). Design the controller so that (a) the percent overshoot for a step input is P.O. < 5 (b) the settling time (with a 2% criterion) is Ts < 6s (c) the system velocity error constant Kv < 0.9 (d) the peak time, TP, for a step input is minimized. Motion subsystem B Object environment Recognition subsystem Computerarrow_forwardblock diagram pls solve fast As Simplify the multiple loop feedback control system? R(s) G₁ G₂ H3 H₂ + G3 H₁ G₁ Y(s)arrow_forward
- 2- Using Matlab, what are the step response curves of the closed-loop system, as shown in fig.1. the feedback represents the second-order dynamic system. (fill in the following table) For=0.4 Wn 1 3 6 9 10 R(S) 0.1 0.3 0.6 0.9 1 For w 5 rad/sec 3 Settling time Peak response 2 Wn s(s+23wn) Settling time Peak response C(s) Discuss the follow Which parameters or w occur on the rise time of the response? Which parameter increases the speed of response? Which parameters can be decreases the response amplitude? Which parameter decreases the steady error state? fig.2arrow_forwardWith regards to magnetic Levitation System. The controller used was a P controller Pl controller PID controller PD controllerarrow_forward6. Given the system shown below, design a value of K so that for an input of 100tu(t), there will be a 0.01 steady-state error. R(s) K s(s + 1) 10s K C(s)arrow_forward
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