= 5 N/m, K2 1 kg, K1 u is an externally-applied input force on M1. The...
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= 5 N/m, K2 1 kg, K1 u is an externally-applied input force on M1. The desired outputs are: the M2 10 N/m, and For the mechanical system below, assume that M1 B1 displacement of mass M2 (x1), the velocity of mass M2, and the tensile force on spring K1. The two EOMS for this system are: %3D B2 10 N-s/m. Mä1 + (B1 + B2)±1+ (K1 + K2)¤1 = k2x2 + u M2ä2 + B2i2 +K2x2 = k2x1 (a) Using the equations provided above, determine all four state-space equations for this system in terms of the state variables. Note that the state variables are: x1, V1, x2, and v2. (15 PTS) (b) Determine the output equations for this system. (10 PTS) (c) Determine state-space matrices (A, B,C,D) for this system. (10 PTS) K1 ll K2 M1 M2 B1 B2 B2 = 5 N/m, K2 1 kg, K1 u is an externally-applied input force on M1. The desired outputs are: the M2 10 N/m, and For the mechanical system below, assume that M1 B1 displacement of mass M2 (x1), the velocity of mass M2, and the tensile force on spring K1. The two EOMS for this system are: %3D B2 10 N-s/m. Mä1 + (B1 + B2)±1+ (K1 + K2)¤1 = k2x2 + u M2ä2 + B2i2 +K2x2 = k2x1 (a) Using the equations provided above, determine all four state-space equations for this system in terms of the state variables. Note that the state variables are: x1, V1, x2, and v2. (15 PTS) (b) Determine the output equations for this system. (10 PTS) (c) Determine state-space matrices (A, B,C,D) for this system. (10 PTS) K1 ll K2 M1 M2 B1 B2 B2
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