QUESTION 4Consider a system model given byd²x (1)di²+x(t)=2- - + f(1)df (t)dtx (0) = 2x (0) = 1,where f(t) = t. What is the impulse response function?costsintsint - costcoste sintcost - sint2cost + sint

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Answered: QUESTION 4 Consider a system model…

Principles of Heat Transfer (Activate Learning with these NEW titles from Engineering!)

8th Edition

ISBN:9781305387102

Author:Kreith, Frank; Manglik, Raj M.

Publisher:Kreith, Frank; Manglik, Raj M.

Chapter4: Numerical Analysis Of Heat Conduction

Section: Chapter Questions

Problem 4.6P

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The steady-state response is the part of the Total Response which does not approach infinity as time approaches infinity. True False
Response using matlab.
Sketch the level response for a bathtub with cross-sectional area of 8 ft 2 as a function of time for the following sequence of events; assume an initial level of 0.5 ft with the drain open. The inflow and outflow are initially equal to2ft3/min.(a)The drain is suddenly closed, and the inflow remains con-stant for 3 min (0≤t≤3).(b)The drain is opened for 15 min; assume a time constant in a linear transfer function of 3 min, so a steady state is essentially reached (3≤t≤18) (c)The inflow rate is doubled for 6 min (18≤t≤24).(d)The inflow rate is returned to its original value for 16 min(24≤t≤40).
PLEASE 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)
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