2) 1 C-C* Yamax CB-C* 9Bmax js = d(s) + ST + 1 Стах q* Стах А ū(s)] ) 3) Construct a block diagram depicting an open l

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2) 1 C-C* Yamax CB-C* 9Bmax js = d(s) + ST + 1 Стах q* Стах А ū(s)] )

3) Construct a block diagram depicting an open loop arrangement for the signals and transfer functions defined in 2). [3 Marks] 4) Assume zero initial conditions and a step input with magnitudes a and ß for each of d(s) and ū(s) respectively. Find the concentration output y(t). [10 marks] 5) Using MATLAB, produce a unit step response for the output y(t) and verify the result by comparing it with the analytical result derived in 4). Select the time scales so that both the transients and the steady state output are visible. [10 marks] 6) Assuming à(s) = 0, specify the parameter values that needs to be changed for the speed of the response to increase. Explain and justify your reasoning using appropriate mathematical functions and step response plots? [5 marks] 7) Assuming a unity negative feedback loop, derive the following transfer functions a. Gry() b. Gdy(s) C. Gre(s) d. Gde (s) [8 marks]