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Nonlinear State Feedback Design for Continuous Polynomial Systems

Wiem Jebri Jemai, Houssem Jerbi*, and Mohamed Naceur Abdelkrim
International Journal of Control, Automation, and Systems, vol. 9, no. 3, pp.566-573, 2011

Abstract : The objective of this paper is to simplify the complexity of practical implementation of the input-state feedback linearization technique for the control of input-affine systems. A polynomial approach which makes use of the Taylor series expansion and the Kronecker product is developed. Our work aims to address the problem of synthesizing a polynomial control via a nonlinear analytical coor-dinates transformation. To check the effectiveness of the investigated approach, we consider the con-trol problem of a series DC motor. A comparative study with the input-state feedback linearization control is developed.

Keyword : DC series motors, input-state feedaback linearisation, nonlinear control, polynomial system representation.

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