A control system has a transfer function of $()=$ s $16$

$(30)(248)$

a$.$ Find the zeros and poles of the system, Identify the poles and zeros that dominate

the performance of the system. Explain why.

b$.$ Find the damping ratio $$ and the natural frequency $$n with only those dominating

poles$/$zeros considered.

Hint: Find the dominant poles first, then check whether you can ignore the effects of the

extra poles or zeros. Then you can simply covert that extra pole or zero $($S$+$a$)$ to a in the

transfer function.