(a) Please describe how to apply the Routh-Hurwitz criterion to
determine the stability of LTI discrete-time system.
(b) Consider design a compensator for the system to meet the phase margin criterion of 45º but leave the gain-crossover frequency unaffected. What type of cascade compensators (Lag,
Lead, Lag-Lead) can fulfill the objectives? Explain your choice.
(c) Please state the definition of Phase Margin and Gain Margin.
(d) A digital filter has an impulse response, h[n]=0.6nu[n]. If it is excited by a unit sequence,
what is the final value of the response?