CONTROL SYSTEMS ENGINEERING
7th Edition
ISBN: 9781119185666
Author: NISE
Publisher: WILEY
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Chapter 12, Problem 5RQ
Under what conditions can inspection of the signal-flow graph of a system yield immediate determination of controllability?
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QUESTION 1
A vertical vibrating system of 5 kg of mass and 500 N/m of spring stiffness is
critically damped. The system is excited by a step input force f(t) = 50 N to
generate an output vertical motion y(t), in metres, and t-is the time in seconds.
1.1.
Determine the transfer function of the system
1.2.
Provide an equivalent block diagram with a unitary negative feedback to
control the motion y(t)
1.3.
Using s-plane, locate the closed loop pole(s) and zero (s) of the system
and provide the reasons of stability or non-stability of the system
1.4.
Using the technique of partial fractions, establish the analytical
expression of the time response of the vibrating system.
Would you kindly assist me with this MATLAB question please.
Please solve this question in mechatronics
Chapter 12 Solutions
CONTROL SYSTEMS ENGINEERING
Ch. 12 - Prob. 1RQCh. 12 - Prob. 2RQCh. 12 - 3. Different signal-flow graphs can represent the...Ch. 12 - Prob. 4RQCh. 12 - Under what conditions can inspection of the...Ch. 12 - In order to determine controllability...Ch. 12 - Prob. 7RQCh. 12 - Prob. 8RQCh. 12 - Prob. 9RQCh. 12 - Prob. 10RQ
Ch. 12 - Prob. 11RQCh. 12 - Prob. 12RQCh. 12 - Prob. 13RQCh. 12 - Prob. 14RQCh. 12 - 15. In order to effect a complete observer design,...Ch. 12 - Under what conditions can inspection of the...Ch. 12 - 17. In order to determine observability...Ch. 12 - Prob. 1PCh. 12 - Prob. 2PCh. 12 - 3. The following open-loop transfer functions can...Ch. 12 - Prob. 4PCh. 12 - Prob. 5PCh. 12 - Prob. 6PCh. 12 - Prob. 7PCh. 12 - Prob. 8PCh. 12 - Prob. 9PCh. 12 - Prob. 10PCh. 12 - Prob. 11PCh. 12 - Prob. 12PCh. 12 - Prob. 13PCh. 12 - Prob. 14PCh. 12 - Prob. 15PCh. 12 - Repeat Problem 14 assuming that the plant is...Ch. 12 - The open-loop system of Problem 14 is represented...Ch. 12 - Prob. 18PCh. 12 - Prob. 20PCh. 12 - Prob. 21PCh. 12 - Prob. 22PCh. 12 - Prob. 23PCh. 12 - Prob. 24PCh. 12 - Prob. 26PCh. 12 - Prob. 27PCh. 12 - Prob. 29PCh. 12 - Prob. 30PCh. 12 - Prob. 31PCh. 12 - Prob. 32PCh. 12 - Prob. 33PCh. 12 - Prob. 41PCh. 12 - Prob. 42PCh. 12 - Prob. 44P
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- Q4) A particular control system yielded a steady state error of 0.20 for unit step input. A unit integrator is cascaded to this system and unit ramp input is applied to this modified system. What is the value of steady-state error for this modified system?arrow_forwardConclusion on observable Canonical Form and Observer Design in control engineeringarrow_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
- EXPERIMENT TITLE : PID CONTROLLER IN LEVEL CONTROL SYSTEM OBJECTIVE:To demonstrate the characteristic of P,PI and PID controller response on a level controller system. Based on the topic and objective given,please make a clear introduction.arrow_forwardQUESTION 5 Consider the system whose block diagram is shown below. D(s) R(s) + + C(s) K G(s) G(8) R(s) is the reference input or target, and D(s) is the disturbance input. Gp(t) is the plant (house, motor, car,...) transfer function, Gc(t) is the compensator transfer function, and K is the compensator gain given by 1 G (s) G (s) = P s+10 1 3s+2 and K=5. Find the transfer function, C(s)/R(s). 3 s²+16s+14 8 3s²+32s+25 S 382+8+6 8(s+ 10) 3s² + 32s+25 3s+2 3s²+32s+25 5 3x²+32x+25arrow_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
- answer neatlyarrow_forwardcan you please show me how we can determine the freedom degree of systems ? like these in the picure please I want step by step how we determine that !arrow_forwardWe consider a dynamical system represented by the block diagram: Simple negative feedback: input, U(s) E(s) with T₁(s) T₂(s) + = 1 S T₁(s) = T₂(s) X(S) output 1 2 a+s² The input is U(t) = 10 measurement Calculate the error E(s) at s=2. with a 2 andarrow_forward
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