3) A third order process is controlled by a proportional controller with a gain Kc. If the characteristic equation of th
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3) A third order process is controlled by a proportional controller with a gain Kc. If the characteristic equation of the closed loop is: G(s)=2.5s³+8s²+6.5s+1+Kc=0 a) Find the maximum value of Ke beyond which the system will go unstable using the direct substitution method (Hint: Find the ultimate gain). b) What is the period oscillations? What are the values of the roots of G(s) at the maximum value of Ke.