Abstract
The problem of local disturbance decoupling is considered for a class of non-linear singular control systems. Assumptions are introduced, and an algorithm is developed such that the control system can be expressed in a simple form. A nonlinear feedback control law is then constructed, which ensures the closed-loop system has a unique solution without impulses, and its output is unaffected by disturbances. Sufficient and necessary conditions for the existence of such a feedback are derived. An example is provided to illustrate the results of the paper.
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