The attitude dynamics of a rocket are represented by where U(s) is the force of the

Chapter 0, Problem P3.33

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The attitude dynamics of a rocket are represented by where U(s) is the force of the human hand applied to the robot manipulator, and Y{s) is the force of the robot manipulator applied to the load. Determine a state variable model and the state transition matrix for the system. Extender Y(s) U(s) = G(s) 1 and state variable feedback is used where x% = y(r), x i ~ y(f )> an d " = ~ x 2 ~ 0.5;^. Determine the roots of the characteristic equation of this system and the response of the system when the initial conditions are .^(0) = 0 and x2(0) = 1. The input U{s) is the applied torques, and Y(s) is the rocket attitude.

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