NonLinear Discrete-Time Gain-Scheduling Control for Affine Nonlinear Polynomial Systems

Samia Charfeddine(1*), Houssem Jerbi(2), Lassaâd Sbita(3)

(1) Superior School of Sciences and Technology of Tunis, Tunisia
(2) University of Hail, Saudi Arabia
(3) National Engineering School of Gabès, University of Gabès, Tunisia
(*) Corresponding author

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This paper is devoted to trajectory tracking control for nonlinear discrete-time polynomial systems. The proposed approach makes full use of a feedback linearization technique combined with gain-scheduling approach to create a tracking control structure. The synthesized controller is based mainly on the reverse trajectory method which allows estimating domains of attraction around the operating points. A smooth transition from the actual operating conditions to the desired ones is ensured via an accurate geometrical approach. The effectiveness of the control schema is demonstrated through its simulation to a CSTR control problem.
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Discrete-Time Systems; Gain-Scheduling; Nonlinear Polynomial Systems; Reverse Trajectory Method; Trajectory Tracking

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