Feedback linearization of multi-input nonlinear differential algebraic control systems

Abstract EN

The problem of feedback linearization of index one multi-input nonlinear differential algebraic control systems via feedback transformations is addressed.

Although necessary and sufficient geometric conditions for this problem have been provided in the early 2000.

A complete solution to the feedback linearization problem is provided by defining an algorithm allowing to compute explicitly the linearizing feedback coordinate for index one multi-input nonlinear differential algebraic control systems without solving the partial differential equations.

The algorithm consists of steps ( the dimension of the system).