Unformatted text preview: the true state of the particle using the reference state and the approximated state. Compare the approximated position of the particle to the true position computed in part(b). Comment on the accuracy of the nonlinear model. Problem #2: For Sample Problem 3.1 of Torby, write the equations of motion in state space form. Numerically integrate these equations in MATLAB using the following assumptions: a) Let the pendulum be initially oriented at a 30 degree angle from the “down” axis b) The spring is initially unstretched and k=10 N/m. c) L = 1 m and the mass is 1 kg Assume the pendulum’s rest position is the reference solution. Linearize the equations of motion about the reference. Define the initial perturbed state so that it corresponds to the nonlinear true state employed in part 2(a). Numerically integrate the linearized equations using these initial conditions. Compare the linear and nonlinear models and comment on the accuracy of the linearized equations....
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- Spring '10
- Equations, Particle, nonlinear equations, Linearized Equations, nonlinear true state