This identified system has an unstable pole at 1 3 . (a) utilize full state feedback and calculate the gains in order to meet a 20% overshoot and a settling time of 4 seconds. you can perform all the calculations and verify the time domain response in matlab. (b) the actual system is given by the following transfer function:

An engine, weighing 3000 n, is supported on a pedestal mount. it has been observed that the engine induces vibration into the surrounding area through its pedestal at the maximum operating speed. determine the stiffness of the dynamic vibration absorber spring in (n/m) that will reduce the vibration when mounted on the pedestal. the magnitude of the exciting force is 250 n, and the amplitude of motion of the auxiliary mass is to be limited to 2 mm note: in this question type-in right numbers, no decimals, no fractions, no unit. approximate to right number if needed