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I solved problem $1-(1)$~$(6).$

I got K$=[-11\mathrm{.}68],$ L$=[10$ ; $24\mathrm{.}1],$ and N$=8.$

However, I cannot solve $(7).$ Please solve $(7)$ with Matlab code.$]]]]]]]]]]]]]]]]]]]]]]]]]]$

You can use MATLAB $($and Simulink$)$ to solve the following problems.

Consider the following pendulum model

Let ${}_1=$ and ${}_2={}_2^{}.$ Then as we discussed in class, the nonlinear state space equation for the pendulum model is as follows

${}_1^{}={}_2$

${}_2^{}=-\frac{g}{l}sin({}_1)+\frac{1}{m{l}^2}{T}_2$

where $g$ is gravitational acceleration