5. System response using State Variable Form: Consider the model of a system where the values of interests are the input, y(t), and the outputs, angular displacement 0(t) and angular acceleration (t). 4de78d0 +1300 +50=7 f(t) 4 dit? +8 di +13 + Write out the state variable model by hand, and define the x(t) and u(t) vectors and put the result in terms of the A, B, C and D matrices. ii. Use the ss command to define the model in MATLAB. iv. Use the step command to plot the response to f(t) = 5u(t). v. Use the initial command to plot the response to the following IC: (0) = 4, 0(0)=-5, and 7(0)=-2 vi. Use superposition to generate a plot of the total response. 5. System response using State Variable Form: Consider the model of a system where the values of interests are the input, y(t), and the outputs, angular displacement 0(t) and angular acceleration (t). 4de78d0 +1300 +50=7 f(t) 4 dit? +8 di +13 + Write out the state variable model by hand, and define the x(t) and u(t) vectors and put the result in terms of the A, B, C and D matrices. ii. Use the ss command to define the model in MATLAB. iv. Use the step command to plot the response to f(t) = 5u(t). v. Use the initial command to plot the response to the following IC: (0) = 4, 0(0)=-5, and 7(0)=-2 vi. Use superposition to generate a plot of the total response