a) i) Draw the block diagram of a typical discrete time control system.
ii) Explain the abasing phenomenon in discrete time control systems. How is the abasing problem solved in practice?
b) For the control system block diagram of Figure:
i) Determine the open loop discrete time transfer function.
ii) Determine the closed loop discrete time transfer function of the system.
iii) Find the range of the sampling time period (T) for stability.
iv) Calculate the critical frequency.
Figure: Control system block diagram