(Solved): (4b) Start MATLAB running on the PC by the command: MATLAB This puts you in the command mode of MAT ...

(4b) Start MATLAB running on the $\mathrm{PC}$ by the command: MATLAB This puts you in the command mode of MATLAB. Get to know MATLAB by trying out a few basic commands: Commands Remarks $\begin{array}{ll}A=\left[\begin{array}{lll}1& 2;3& 4\end{array}\right]& \text{ defines a }2\times 2\text{ matrix called }A\\ B=\mathrm{eye}(2)& B=2\times 2\text{ identity matrix }\\ C=A+B& C=\text{ matrix sum of }A\&B\\ D=\left[\begin{array}{ll}\mathrm{A}& \mathrm{B}\end{array}\right]& D=\text{ matrix formed by putting }A\&B\text{ side by side }\\ F=[\mathrm{A};\mathrm{B}]& F=\text{ matrix formed by putting }A\text{ on top of }B\\ kT=0:0.05:1& kT=\left[\begin{array}{ll}0& \mathrm{0.050.100.15}\dots 1\text{. }\end{array}\right]\\ y=[]& y=\text{ empty matrix }\\ \text{ for }t=kT,& \text{ Start for-loop: set }t\text{ successively to elements of }kT\\ y=\left[y\sin \left(2?{\mathrm{pi}}^{?}t\right)\right]& \text{ compute }\sin (2?t)\text{ and accumulate the results in }y\\ \text{ end }& \text{ end of for-loop }\\ \text{ plot }(kT,\mathrm{y})& \text{ plot }y\text{ against }kT\end{array}$ MATLAB supports the running of commands from a macro-file (a script file containing MATLAB commands) which can be created using any text editor. (4c) Write a macro-file program to simulate the step response of the closed-loop system using the discrete-time state-space model obtained. Run your program and check whether the simulation result agrees with the experimental result.