Question

Need Matlab for part d)

3. The following questions relate the figure below of 2 couple spring-mass systems T2 fint) (a) Derive the 2 differential equations (one for each mass) of this system (b) Now derive the Transfer-Function from fin → Xi (c) Now derive the state-space representation (A,B,C,D) of this system. Hint: There should be 4 states (position and velocity of each mass). The output of this system is still y (which will probably be the first state in your state-vector) 圃compare the step response(>> step (๑) between Transfer-Function(>> G-tf (Num, Den)) and State-Space (>> G-SS(A,B,C,D)) forms in matlab. To simulate, choose the masses to be equal to 2 kg and the spring constants equal to 85 N/m and the step to be equation to 17 N (so the step command in matlab will be step (17*G)) Obviously, the results should be the same no matter what form you put it in

Answer 1