Abstract
This paper is concerned with the adaptive fuzzy control problem for a class of twin-roll strip casting systems. By using fuzzy logic systems (FLSs) to approximate the compounded nonlinear functions, a novel robust output tracking controller with adaptation laws is designed based on the high gain observer. First, the nonlinear dynamic equations for the roll gap and the molten steel level are constructed, respectively. Then, the mean value theorem is employed to transform the nonaffine nonlinear systems to the corresponding affine nonlinear systems. Moreover, it is also proved that all the closed-loop signals are bounded and the systems output tracking errors can converge to the desired neighborhoods of the origin via the Lyapunov stability analysis. Finally, simulation results, based on semiexperimental system dynamic model and parameters, are worked out to show the effectiveness of the proposed adaptive fuzzy design method.
Highlights
As is well known, the strip casting combines two processes of continuous casting and hot rolling into a single production; it brings in a lot of advantages including lower investment cost, energy saving, less space requirements
To the best knowledge of the authors, it is the first time the adaptive fuzzy tracking control is developed for MIMO nonaffine nonlinear casting systems with immeasurable states, which are very meaningful and more practical
Based on Lyapunov stability analysis, it is shown that the proposed adaptive fuzzy output tracking control scheme can guarantee that the roll gap xg and the molten steel level xh can track to the empirical reference signals
Summary
The strip casting combines two processes of continuous casting and hot rolling into a single production; it brings in a lot of advantages including lower investment cost, energy saving, less space requirements. The modeling and control problem for a class of twin-roll strip casting system was studied in [5]. In [13], the adaptive fuzzy tracking control problem for a class of uncertain nonaffine nonlinear systems with nonsymmetric dead-zone inputs was investigated; the proposed approaches can only handle the SISO nonaffine nonlinear systems rather than MIMO systems with complex coupling terms. To the best knowledge of the authors, it is the first time the adaptive fuzzy tracking control is developed for MIMO nonaffine nonlinear casting systems with immeasurable states, which are very meaningful and more practical. Inspired by [8, 13], by means of fuzzy approximation technique, the adaptive fuzzy output tracking control problem for a class of twin-roll strip casting systems is considered.
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