4. The following open loop system is unstable. +1000) Y(s) = 10- -X(s) ©2 +2s + 4) Use the bode() function in Matlab to
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4. The following open loop system is unstable. +1000) Y(s) = 10- -X(s) ©2 +2s + 4) Use the bode() function in Matlab to draw the Bode plot of the open loop transfer function. Also use the step() function to simulate the step response of the closed loop transfer function with gain of K = 1. From the graphs, comment on the stability, and using the phase and magnitude margins identify the frequency range which causes the instability. You should use the margin() function to assist you. Design a compensator (lead, lag or lead-lag) that makes the open loop system stable at all frequencies. Verify your design via. another Bode plot and step response plot.
4. The following open loop system is unstable. +1000) Y(s) = 10- -X(s) ©2 +2s + 4) Use the bode() function in Matlab to draw the Bode plot of the open loop transfer function. Also use the step() function to simulate the step response of the closed loop transfer function with gain of K = 1. From the graphs, comment on the stability, and using the phase and magnitude margins identify the frequency range which causes the instability. You should use the margin() function to assist you. Design a compensator (lead, lag or lead-lag) that makes the open loop system stable at all frequencies. Verify your design via. another Bode plot and step response plot.