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(Solved): Exercise 2.1: Consider (Figure 2.1) the system with multiple inputs and multiple outputs. Do the f ...



Exercise 2.1: Consider (Figure 2.1) the system with multiple inputs and multiple outputs. Do the following:
a) Derive the tra

Exercise 2.1: Consider (Figure 2.1) the system with multiple inputs and multiple outputs. Do the following: a) Derive the transfer matrix. Hence obtain the transfer functions. b) Using MATLAB, write a program to produce all the transfer functions for the system. c) Using MATLAB, write a program to plot two step-response curves for the input u1 in one diagram and two step-response curves for the input u2 in another diagram. Analyze the step responses. [x?1?x?2??]=[0?25?1?4?][x1?x2??]+[10?11?][u1?u2??][y1?y2??]=[10?01?][x1?x2??]+[00?00?][u1?u2??]? Figure 2.1


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a) To derive the transfer matrix for a linear, time-invariant (LTI) system, we need to first define the system's state-space representation. This cons

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