CDS 110b: Receding Horizon Control

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Q: What do you mean by the terms damping ratio and natural frequency in 1c and 1d ?'

The position control system is a second-order system. So for any control law, there would be some natural frequency and damping ratio for the closed loop system (Recall from CDS110a that these terms are defined for any second order system; for a revision of these concepts, you can take a look at ocw.mit.edu/NR/rdonlyres/Mathematics/18-03Spring2004/ B76E6F4F-7B05-4DA0-A5A5-03FA4ACCB6B2/0/sup_13.pdf) All you have to do in 1c and 1d is to find out the value of these terms for the control law from 1b.

Vijay Gupta, 17 Jan 05