Consider the following mathematical model for a 2- tank mixing (water with salt) system (Figure 1):...
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Consider the following mathematical model for a 2- tank mixing (water with salt) system (Figure 1): Figure 1 Q1 ' (t) = 2 + Q2(t) 100 - 701(t) 400, Q1 (0) = 20 Q2 ' (t) = 301(t) 800 - Q2(t) 100, Q2 (0) = 80 where Q1(t) = amount of salt in tank 1 at time t Q2(t) = amount of salt in tank 2 at time t a. Convert the above system of equations to state space form? b. Solve the above system in MATLAB using ode45 and plot the output? c. Implement the above-mentioned mathematical model using Simulink model diagram? Tank 1 Figure 1 Tank 2 | Consider the following mathematical model for a 2- tank mixing (water with salt) system (Figure 1): Figure 1 Q1 ' (t) = 2 + Q2(t) 100 - 701(t) 400, Q1 (0) = 20 Q2 ' (t) = 301(t) 800 - Q2(t) 100, Q2 (0) = 80 where Q1(t) = amount of salt in tank 1 at time t Q2(t) = amount of salt in tank 2 at time t a. Convert the above system of equations to state space form? b. Solve the above system in MATLAB using ode45 and plot the output? c. Implement the above-mentioned mathematical model using Simulink model diagram? Tank 1 Figure 1 Tank 2 |
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Related Book For
A Survey of Mathematics with Applications
ISBN: 978-0134112107
10th edition
Authors: Allen R. Angel, Christine D. Abbott, Dennis Runde
Posted Date:
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