A system is known to have the following dynamic equations x = axx +axx-ax[bxx +0.5(c-b) x...
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A system is known to have the following dynamic equations x₁ = −axx₁ +axx₂-ax[bxx₁ +0.5×(c-b)× x +1x₁-1}] . X2=X₂-X₂ + X₂ . X3 = -dxx₂ -exx; (*x indicates product) Draw the 3 D image of the states (x₁,x2, and xs) by using ode23() or ode45() function and plot3() function with the given values for a, b, c, d, and e. a=9.1, b=-0.75590,c=-1.39386,d=16.5811, and e=0.138083. Use your U-number for the initial conditions. Please follow the format, [Your 1st U-number. Your 2nd U- number, Your 3rd U-number. Your 4th U-number, Your 5th U-number. Your 6th U-number]. (EX U12345678=>initial conditions = [1.2, 3.4, 5.6]) • In the first equation, pairs of [ ], }and ( ) was used for emphasis purpose. Please, check where the other part is placed. • • • Use abs() function for [x₁+1] or 1x₁-11 (i.e. Ix+1] => abs(x+1) in matlab) X (NOT X₁ X2, and xs!) indicates multiplication. Do not forget to put grid on in the plot and also Do not forget to label axis. (Use xlabel, ylabel, zlabel. zlabel('x_3') will put x; on the z-axis.) A system is known to have the following dynamic equations x₁ = −axx₁ +axx₂-ax[bxx₁ +0.5×(c-b)× x +1x₁-1}] . X2=X₂-X₂ + X₂ . X3 = -dxx₂ -exx; (*x indicates product) Draw the 3 D image of the states (x₁,x2, and xs) by using ode23() or ode45() function and plot3() function with the given values for a, b, c, d, and e. a=9.1, b=-0.75590,c=-1.39386,d=16.5811, and e=0.138083. Use your U-number for the initial conditions. Please follow the format, [Your 1st U-number. Your 2nd U- number, Your 3rd U-number. Your 4th U-number, Your 5th U-number. Your 6th U-number]. (EX U12345678=>initial conditions = [1.2, 3.4, 5.6]) • In the first equation, pairs of [ ], }and ( ) was used for emphasis purpose. Please, check where the other part is placed. • • • Use abs() function for [x₁+1] or 1x₁-11 (i.e. Ix+1] => abs(x+1) in matlab) X (NOT X₁ X2, and xs!) indicates multiplication. Do not forget to put grid on in the plot and also Do not forget to label axis. (Use xlabel, ylabel, zlabel. zlabel('x_3') will put x; on the z-axis.)
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To plot the 3D image of the states using the given dynamic equations initial conditions and values f... View the full answer
Related Book For
Numerical Methods With Chemical Engineering Applications
ISBN: 9781107135116
1st Edition
Authors: Kevin D. Dorfman, Prodromos Daoutidis
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