Set up the listed characteristic equations in the form suited to Evanss root-locus

Chapter 5, Problem 5.1

(choose chapter or problem)

Set up the listed characteristic equations in the form suited to Evanss root-locus method. Give L(s), a(s), and b(s) and the parameter K in terms of the original parameters in each case. Be sure to select K so that a(s) and b(s) are monic in each case and the degree of b(s) is not greater than that of a(s). (a) s + (1/) = 0 versus parameter (b) s 2 + cs + c + 1 = 0 versus parameter c (c) (s + c) 3 + A(Ts + 1) = 0 (i) versus parameter A, (ii) versus parameter T, (iii) versus the parameter c, if possible. Say why you can or cannot. Can a plot of the roots be drawn versus c for given constant values of A and T by any means at all? (d) . Assume that , where c(s) and d(s) are monic polynomials with the degree of d(s) greater than that of c(s). (i) versus kp (ii) versus kI (iii) versus kD (iv) versus