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].