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Finally, once $\hat{D}_{22}$ is obtained, we can obtain an estimate closed-loop transfer function  \begin{equation}\label{eq:estC}  \hat{\mC}(z) =  \begin{bmatrix} I & 0 \\ 0 & \hat{D}^{-1}_{22} \hat{D}  \end{bmatrix} \mW  \left(\frac{z-1}{z+1}\right), \end{equation}  and the transfer functions for plant and controller, $\mG(z)$, $\mK(z)$ using \eqref{eq:khg}.