(Solved): Please do P.2.2, add MATLAB code with rlocus command to verify with intersecting point, it's importa ...

Please do P.2.2, add MATLAB code with rlocus command to verify with intersecting point, it's important, thank you.

Problem 2. Considering the feedback control system given in the figure on the RHS, where $$G_c(s)=K$$, and $$G_p(s)=\frac{1}{s(s+2)(s+1)}$$ P2.1. Sketch the root locus by hand for $$G_c(s)=K$$. When sketching the root locus, if necessary, make use of asymptotes by finding $${?}_a$$ and $${?}_a$$ that are the intersecting points and angles with the real axis, respectively. Hint: Use the open-loop transfer function, hence, convert the system to a simple unity feedback. P2.2. Verify your solution with MATLAB (rlocus command). Show the intersecting points.