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)
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- 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)A stock-flow system models the level of water in a lake. Near a certain equilibrium point, there are three feedback loops: an amplifying feedback loop with strength of +0.55 per month, a stabilizing feedback loop with strength of -0.09 per month, and an amplifying feedback loop with strength of +0.79 per month. Calculate the strength of the overall feedback.For the calibration data of given below, (a) determine the static sensitivity of the system, (b) find the maximum nonlinearity, (c) find the value of the threshold. X (cm) 0.5 1.0 (cm) 0.4 1.0 5.0 10 15 20 25 30 35 40 45 50 6.9 15.8 24.7 36.4 49.9 60.3 75.1 87.0 98.9 110.1
- A system has a characteristic equation s^3+2s^2+(k+1)s+8=0 Determine the range of K for a stable system Question 5 options: K<3 K<4 K>4 K>3Consider the thermocouple properties you found in the question "Temperature of a thermocouple (1/3)" If the thermocouple is initially outside of the bath at room temperature (20 °C), what is the maximum temperature it will register if it's instantaneously inserted into the batch (55 °C) for 18 seconds and then removed? Use an inverse Laplace transform to find the solution. a. 32.68 °C b. 44.97 °C c. 64.97 °C d. 12.68 °CVerification of Sampling Theorem Solution in Matlab
- 1.block diagram physical meaning and the time response for different inputsMultiple DOF SystemsA 2-D spring-mass, frictionless system has the following parameters:m1 = 72m2 = 27k1 = 381k2 = 183x1,0 = 0 mx2,0 = 1 mv1,0 = -1 m/sv2,0 = 0 m/s In MATLAB, solve numerically for x1(t) and x2(t).Q.1 - The open loop transfer function for a unity - feedback systemis G(s)= XL‘ 7xs and r(t)=3t determine steady state error.If it is desired to reduce this existing error by 7% fined new value of gain of the system.
- Develop MATLAB code to simulate performance of air cycle machine with fixed turbine outlet temperature of T= 800K. Cp of air = 1.005 mdot= 30 g/s < x < 45 g/sAn unmanned submarine is equipped with temperature and depth measuring instruments and has radio equipment that can transmit the output readings of these instruments back to the surface. The submarine is initially floating on the surface of the sea with the instrument output readings in steady state. The depth measuring instrument is approximately zero order and the temperature transducer first order with a time constant of 50 seconds. The water temperature on the sea surface, , is 20 °C and the temperature at a depth of x meters is given by the relation: If the submarine starts diving at time zero, and thereafter goes down at a velocity of 0.5 meters / second, draw a table showing the temperature and depth measurements reported at intervals of 100 seconds over the first 500 seconds of travel. Show also in the table the error in each temperature reading.What temperature does the submarine report at a depth of 1000 meters?Which of the following is not an assumption made when using the basic EOQ model? Select one: a. The order quantity is received all at once b. Lead time for the receipt of orders is constant c. Shortages are required d. Demand is known with certainty and is constant over time