(a) Approximate the following transfer function by removing a non-dominant pole (or a pair of non-dominant...

   

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(a) Approximate the following transfer function by removing a non-dominant pole (or a pair of non-dominant poles): (2 Marks) G(s) = = 0.2(s + 2) (s+ 0.5)(s+3 0.8j) (b) Is the following a valid state space model in states x, and x2, output y, and input u (True/False)? Why or why not? If not, convert it into a valid state space model. (3 Marks) x = x2 x2 = -0.5x1 + - 0.2u y = x1 (a) Approximate the following transfer function by removing a non-dominant pole (or a pair of non-dominant poles): (2 Marks) G(s) = = 0.2(s + 2) (s+ 0.5)(s+3 0.8j) (b) Is the following a valid state space model in states x, and x2, output y, and input u (True/False)? Why or why not? If not, convert it into a valid state space model. (3 Marks) x = x2 x2 = -0.5x1 + - 0.2u y = x1