A Control Lyapunov Function Approach for Nonlinear Web Winding System
نویسنده
چکیده
The aim of this paper is to design a law control of a nonlinear web winding system using the Lyapunov stability theory. The Lyapunov function is a powerful tool for the stability analysis of nonlinear dynamic systems. This system knows several constraints such as the thermal effects caused by the frictions, and the mechanical effects provoked by metal elongation, that generates dysfunctions due to the influence of the process conditions. In the following, we give the concept of the Lyapunov's Direct Method, and we discuss its application to design a control that reduces the coupling influence between the drive speed and traction forces on cold rolling system for a precise thickness, with the best possible regularity by using the control Lyapunov function. The resulting control system is simulated and the numerical results are quoted and discussed.
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