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ME8281 HW1 (Spring 2016) Solutions
Prob 2:
Integrate the above in time with xbar(t) computed from
with xbar(t=0) = [0; 2].
The linearized solution is obtained from:
\tilde x(t) = \Phi(t,0) * \tilde x(0); with \tilde x(t=0) = [0.2; 1.8] [0; 2] = (actual nominal) = [0.2; 0.2]
Estimated solution is: \hat x(t) = \tilde x(t) + x_nom(t) .
where x_nom(t) is obtained from integrating the nonlinear system with x_nom(t=0) = [0; 2].
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