1) Using Routh criterion find out stability of system whose characteristics equation is given as: S^{4}+8S^{3}+18S^{2}+16S+5 =0
2) F(S) = S^{6}+S^{5}-2S^{4}-3S^{3}-7S^{2}-4S^{1}-4=0. Determine the number of roots falling in RHS plane and LHS plane.
3) Design Nyquist plot for system whose open loop transfer function is G(S)H(S) =K/S (S+2) (S+10). Find out range of K for which closed loop system is stable.
4) Build Nyquist plot for feedback control system whose open loop transfer function is given: G(S)H(S) =5/ S(1-S). describe the stability of open loop and closed loop transfer function.
5) Draw the Nyquist plot for system with open loop transfer function G(S)H(S)=K(1+0.5S) (1+S)/(1+10S) (S-1). Find out the range of values of K for which system is stable.
6) Draw root locus for open loop transfer function of unity feedback control system given below: G(S)H(S)=K/S(S+2)(S+4).
7) Draw root locus for open loop transfer function of unity feedback control system given below: G(S)H(S)=K/S(S+1)(S+2). Also determine K of breakaway point.