Distortions Correction Plants in Textile Industry. Nonlinear Modelling and Control

In the textile industry, the operation of textile plants is hindered by some defects, derivations or distortions in the weaving process of the fabric. Related to these distortion corrections, one of the critical operations is the so-called recovery operation (orthogonalization) of fabrics resulting from the loom. The orthogonalization plants realize a certain angle between warp threads and weft yarns of fabrics. In this paper we develop a mathematical model of the curvature correction and a nonlinear control structure for the entire orthogonalization process. Adaptation is necessary due to the change in the quality of the fabric and its driving velocity. Thus, a nonlinear adaptive and structure variable control is proposed. Several numerical simulations illustrate the behaviour of the proposed control structure.