ELE 302 Lecture Notes - Lecture 8: Settling Time, Step Response, Rise Time

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7. 3. 11 example consider the closed loop control system as shown here. 2 seconds, the desired closed loop ratio is to be. Find the corresponding controller gain k and the resulting settling time of the closed loop step response. Next, assume that the desired closed loop ratio is still to be. 1 but we would like to shorten the settling. Course notes winter 2012 time to t settle ( Part b the closed loop system characteristic equation q(s) is a quadratic, resulting in two closed loop poles: 2 s s 0. 25 0 find analytical expressions for both poles p , p as a function of and answer the questions below. 7. 3. 12 example consider a response of a certain closed loop control system to a unit reference signal, shown in figure below. Read off appropriate values and/or calculate transient specifications (po,tperiod , tsettle 2% , trise(10 90%) ) for this step response.

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