1. Consider the following closedloop architecture r(t) e(t) + y(t) Controller Ge (1) G (s) ...
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1. Consider the following closedloop architecture r(t) e(t) + y(t) Controller Ge (1) G₂ (s)  u(t) where Gp(s) denotes the process transfer function, and Ge(s) denotes the controller transfer function. For the following cases, compute the closedloop transfer function M(s), solve for its poles, and use the poles to determine the stability property of the closedloop system: Ge(s) 1+8 1 Ge(s)1++s (s) — 1 $2  Process Gp (2) G₂(s) 1 (3) Gp(s) — 2(²+1) Ge(s) −1+  1+0¹+8 S S y(t) You can use MATLAB roots() function to compute polynomial roots (https://www.mathworks.com/ help/matlab/ref/roots.html)
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