Question: Feedback for the robot arm is to be generated by a Kalman-Bucy filter with direct measurement of x1(t), and
(a) Compute the eigenvalues and eigenvectors of the closed-loop system.
(b) Holding the control gains, estimation gains, and estimation model fixed, vary ζ between - 0.3 and 0.6. Evaluate the resulting changes in closed-loop eigenvalues and eigenvectors. How might Q, R, W, and/or N be modified to desensitize the closed-loop system to these mismatches?