Control Systems Engineering
7th Edition
ISBN: 9781118170519
Author: Norman S. Nise
Publisher: WILEY
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Chapter 7, Problem 5RQ
Increasing system gain has what effect upon the steady-state error ?
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The 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
Unstable
For the following closed loop control system, the characteristic polynomial is:
s5+ 5s4 + 10s3 + 10s2 + 5s + K
Determine the values for K for which the system is stable.
Chapter 7 Solutions
Control Systems Engineering
Ch. 7 - Prob. 1RQCh. 7 - A position control, tracking with a constant...Ch. 7 - Name the test inputs used to evaluate steady-state...Ch. 7 - Prob. 4RQCh. 7 - Increasing system gain has what effect upon the...Ch. 7 - Prob. 6RQCh. 7 - Prob. 7RQCh. 7 - Prob. 8RQCh. 7 - Prob. 9RQCh. 7 - The forward transfer function of a control system...
Ch. 7 - Prob. 11RQCh. 7 - Prob. 12RQCh. 7 - Is the forward-path actuating signal the system...Ch. 7 - Prob. 14RQCh. 7 - Prob. 15RQCh. 7 - Name two methods for calculating the steady-state...Ch. 7 - Prob. 1PCh. 7 - Figure P7.2 shows the ramp input r(t) and the...Ch. 7 - Prob. 3PCh. 7 - Prob. 4PCh. 7 - Prob. 5PCh. 7 - Prob. 6PCh. 7 - Prob. 7PCh. 7 - Prob. 8PCh. 7 - A system has Kp = 4. What steady-state error can...Ch. 7 - Prob. 10PCh. 7 - Prob. 11PCh. 7 - Prob. 12PCh. 7 - For the system shown in Figure P7.4. [Section:...Ch. 7 - Prob. 14PCh. 7 - 1515. Find the system type for the system of...Ch. 7 - Prob. 16PCh. 7 - Prob. 17PCh. 7 - Prob. 18PCh. 7 - Prob. 19PCh. 7 - Given the system of Figure P7.8, design the value...Ch. 7 - Prob. 21PCh. 7 - Prob. 22PCh. 7 - Prob. 23PCh. 7 - Prob. 24PCh. 7 - Prob. 25PCh. 7 - Prob. 26PCh. 7 - Prob. 27PCh. 7 - Prob. 28PCh. 7 - Prob. 29PCh. 7 - Prob. 30PCh. 7 - Prob. 31PCh. 7 - Prob. 32PCh. 7 - Given the system in Figure P7.9, find the...Ch. 7 - Repeat Problem 33 for the system shown in Figure...Ch. 7 - Prob. 36PCh. 7 - Prob. 37PCh. 7 - Prob. 38PCh. 7 - Design the values of K1and K2in the system of...Ch. 7 - Prob. 41PCh. 7 - For each system shown in Figure P7.17, find the...Ch. 7 - For each system shown in Figure P7.18, find the...Ch. 7 - Prob. 44PCh. 7 - 45. For the system shown in Figure P7.20,...Ch. 7 - Prob. 47PCh. 7 - Prob. 48PCh. 7 - Prob. 49PCh. 7 - Prob. 50PCh. 7 - Prob. 51PCh. 7 - Prob. 52PCh. 7 - Prob. 53PCh. 7 - Prob. 54PCh. 7 - Prob. 55PCh. 7 - Prob. 58PCh. 7 - Prob. 59PCh. 7 - Prob. 62PCh. 7 - Prob. 63PCh. 7 - Prob. 64PCh. 7 - Prob. 65PCh. 7 - Prob. 66PCh. 7 - Prob. 67PCh. 7 - Prob. 68P
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- 6. 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_forwardb. Use Routh - Hurwitz stability criterion to determine the system having the following function is stable. s 3+ 3s?+ 7s +k = 0arrow_forwardFor 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.arrow_forward
- P.4: R(s) + E(s) K(s+7) s(s+5)(5 + 8)(5 + 12) C(s) a. What value of K will yield a steady-state error in position of 0.01 for an input of (1/10)? b. What is the K, for the value of K found in (a)? c. What is the minimum possible steady-state position error for the input given in (a)? s(1/s²) e(00) = Cramp (00) = lim1+G(s) 1 05+sG(s) = lim 1 lim sG(s) 5-0arrow_forward1.block diagram physical meaning and the time response for different inputsarrow_forward2- 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_forward
- A linear, time-invariant system is marginally stable if the natural response: oscillates as time approaches infinity grows without bound as time approaches infinity approaches zero as time approach infinity approaches infinity as time approach infinityarrow_forwardöialg äbäi the open - loop transfer function of the system given as in figure below, what is error steady state * for an input r(t)=1+4t+3t^2 10 (s+1) G(s) s²(5s+6) 3.6 O 5.6 O 7.6 O 10.6 Oarrow_forwardP.2: For the system shown, what steady-state error can be expected for the following test inputs: 15u(t), 15tu(t), 15t²u(t). R(s) 15 4s 2 s+3 3 C(s)arrow_forward
- Q2: a): In the system shown in figure below. Find the steady state error if the input r(t) = 1+ 2t C(t) e(t) r(t)- 10(s+1) s² (s+2)arrow_forward6. The figure below represents a time response of a control system. y(r) 0.63 What is it? a) Unit-step response of a Prototype First-Order System; b) Unit-Impulse Response of a Prototype First-Order System; c) Unit-Step Response of a Prototype Second-Order System; d) Unit-Impulse Response of a Prototype Second-Order System.arrow_forwardA 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.arrow_forward
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