Abstract

The exact feedback linearization of general nonlinear differential algebraic systems (NDAS) is investigated in this paper. First, by taking the algebraic variable as virtual inputs, we introduce a recursion inverse algorithm to construct a right inverse system for NDAS. A state feedback linearization control law is constructed based on the inverse system. As an application of the results got in this paper, an excitation control strategy is proposed for a three-node power system with nonlinear load. Simulation results demonstrate the effectiveness of the control scheme.

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