Question

Text: Modern Control Find the A and B matrices of the linear state equation when the states and inputs are defined as follows: x = [r s p q]^T (transpose) u = [u1 u2 u3 u4]^T Here, r dot = p s dot = q p dot = Rz [g3, -g2, 1/m*u1 - g]^T q dot = Identity matrix^(-1) [u2, u3, u4]^T. Please show how to solve it with details and clear steps. I would like to learn from you. Thank you for helping me.

          Text: Modern Control

Find the A and B matrices of the linear state equation when the states and inputs are defined as follows:

x = [r s p q]^T (transpose)
u = [u1 u2 u3 u4]^T

Here,
r dot = p
s dot = q
p dot = Rz [g3, -g2, 1/m*u1 - g]^T
q dot = Identity matrix^(-1) [u2, u3, u4]^T.

Please show how to solve it with details and clear steps. I would like to learn from you. Thank you for helping me.

Added by Diane B.

Elementary and Intermediate Algebra

Alan S. Tussy, R. David Gustafson 5th Edition

Instant Answer

Solved by Expert R M

05/30/2020

Step 1

Step 1: We are given the following state equation: x dot = Ax + Bu where x is the state vector and u is the input vector. Show more…

Show all steps

Thanks for your feedback!

Text: Modern Control Find the A and B matrices of the linear state equation when the states and inputs are defined as follows: x = [r s p q]^T (transpose) u = [u1 u2 u3 u4]^T Here, r dot = p s dot = q p dot = Rz [g3, -g2, 1/m*u1 - g]^T q dot = Identity matrix^(-1) [u2, u3, u4]^T. Please show how to solve it with details and clear steps. I would like to learn from you. Thank you for helping me.