1.sketch the root locus plot of unity feedback system with an open loop transfer function G(s)= K/s(s+2)(s+4), find the range of values of K for which the system has damped oscillatory response. what is the greatest value of K which can be used before continuous oscillations occur. also, determine the frequency of continuous oscillations?
2.sketch the bode plot for a unity feedback system characterised by the open-loop transfer function G(S)=K(1+0.2S)(1+0.025S)/S^3 (1+0.001S)(1+0.005S).
3.The openloop transfer function of a unity feedback control system is given by G(S)H(S)=K(S+5)(S+40)/S^3(S+200)(S+1000) Discuss the stability of closed loop system as a function of K. Determine values of K which will cause sustained oscillations in the closed loop system. what are the frequencies of oscillations.use nyquist approach.
4. using R-H stability criteria determine the stability of the following systems a) it's loop transfer function has poles at s=0,s=-1,s=-3 and zero at s=-5,gain k of forward path is 10 b) it is a type-1 system with an error constant of 10/sec and poles at s=-3 and s=-6.
5.what are the frequency response specifications and explain how to obtain resonant peak,resonant frequency,bandwidth,cutoff rate,gain crossover frequency,phase crossover frequency,gain margin,phase margin and find for a second order system with unity feedback G(s)=200/s (s+8), find various frequency domain specifications, explian the principle of argument or mapping theorem as applied to nyquist plot?
6.write a short notes on steps to find transfer function from the given bode plot and explian the nyquist stability criterion applied to minimum phase and non minimum phase transfer function?
