Abstract
This paper addresses the problem of feedback linearization of nonlinear differential algebraic control systems (NDACSs) via state and feedback transformations. Necessary and sufficient conditions were provided by C. Chen. However, finding the feedback linearizing coordinates is subject to solving a system of partial differential equations. We will provide in this paper a complete solution to the problem by defining an algorithm that allows to compute explicitly the linearizing state coordinates and feedback for index one nonlinear differential algebraic control systems. Each algorithm is performed using a maximum of 1 n − steps ( n being the dimension of the system).
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