plant has a transfer function 5 (s+2)3 p(s)=- -0.5s ) If we choose a proportional controller, calculate the value of kp such that the Low ¯equency Gain (LFG) is 0dB. kp= ¸ ) If we use a proportional controller with kp=2, calculate the gain crossing frequency rad/s, wgc = and the phase margin in degrees, PM= ve your answers to one decimal place.

Open-loop transfer function Go) = KCs+4) sca+2)(st5) The open-loop pales are pele 0,-2,-5 and 'the open-loop zepir-4 The number of Sketch the roat-locas systemy the informatiere derived in Hi) and comment on the characteristics of thir 2ystem for different values Keg for small K and larger values of K. 1Oseful to koow that the equation g3 tQ.5s²+2&=+ 20= has the solutiOns X= -4, 23 +1.146

QUESTION 17 Consider again the control system illustrated in Figure Q16a and Figure Q16b. Assume that C(s)=10. What is the phase margin of the loop transfer function? Express your answer in degrees, but do not type any units, and round to the closest multiple of 15 degrees

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