Abstract
In this paper, we establish the local separation principle for the class of nonlinear systems which is approximately error linearizable and locally asymptotically stabilizable. For this class of nonlinear systems, it is first shown that there exists a local nonlinear observer whose estimation error converges to zero exponentially. In order to achieve local output feedback stabilization, the proposed nonlinear observer is employed in conjunction with the locally asymptotically stabilizing controller. As a result, we identify the class of nonlinear systems for which the local separation principle holds.
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