A further note on output feedback control for singularly perturbed systems

A singularly perturbed nonlinear system with a control input and a measured output is considered, under the supposition that a static nonlinear output feedback law is designed. It is shown that the operations `compute the reduced-order system´ and `close the feedback loop´. It is then shown that, if the reduced-order system associated with the original system has uncertainties matched with the input, a condition frequently used in the design of robust control systems, then the closed-loop reduced-order system enjoys the same property