Question: 2A. Design a controller for the following second order system: g(s) = 1(2s+1)(5s+1) Using the direct synthesis approach and given that the desired trajectory is:

2A. Design a controller for the following second order system: g(s) = 1(2s+1)(5s+1) Using the direct synthesis approach and given that the desired trajectory is: Take r = 1 and r = 5. Compare the two results and interpret them. Q3A. (a) Given transfer of g(s)=3040s2+60s+10 Calculate the following (i)The process gain, K (ii) The natural period, (iii) The damping coefficient, . (iv) State the nature of damping of this process. (b) define the following terms (i) Transfer function (ii) Input variable (iii) output (iv) poles

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