Nonlinear control of the web winding system by backstepping with integral action

Model‐free hierarchical control with fractional‐order sliding surface for multisection web machines

“…Theorem 2. Based on the NN adaptive mechanism, the control signals in (25), ( 29), ( 32), ( 33), ( 36), (37), and ( 39) are rewritten as…”

“…The global asymptotic stability of the whole system has been analyzed by choosing the appropriate control Lyapunov function. Moreover, a Backstepping‐based adaption law was explored, 25 which has the benefit of disturbance removal through estimating unknown parameters so that the controller guarantee outputs track set value. With the tension observer, 26 the Backstepping Control (BSPC) suggested has undoubtedly been extended.In References 20,21, the structure retained the tension and velocity of a web span following the command value while making the system more compact without requiring tension sensors.…”

“…(1) A fully driven model is generalized for the multispan R2R system, considering the variation of the moment of inertia and radius of the unwinder and rewinder during the winding procedure, in comparison with the studies. 24,25,50 (2) A hierarchical control structure is proposed with the combination of FOSMC techniques, and first-order low-pass filters will promote robustness against matched, unmatched uncertainties, the explosion of terms and chattering effects that have not been solved in the studies. [22][23][24][25][26] Apart from that, the use of fractional-order sliding surface plays a vital part in manually optimizing system responses, and hence system performance is improved compared to using traditional sliding surfaces as shown in the works.…”

“…24,25,50 (2) A hierarchical control structure is proposed with the combination of FOSMC techniques, and first-order low-pass filters will promote robustness against matched, unmatched uncertainties, the explosion of terms and chattering effects that have not been solved in the studies. [22][23][24][25][26] Apart from that, the use of fractional-order sliding surface plays a vital part in manually optimizing system responses, and hence system performance is improved compared to using traditional sliding surfaces as shown in the works. [27][28][29][30] (3) Instead of just approximating the moment of inertia in the study 45 or calculating uncertainties and disturbances by using fuzzy logic in the study, 30 an RBF neural network-based robust controllers (RBFNN-BRC), which is capable of adapting to uncertainties and disturbances, is implemented to estimate the complete model.…”

Nonlinear Backstepping Control Design using a High Gain Observer for Automatic Gauge Control

“…The hydraulic positioning system used to adjust the position of the upper roller is called Hydraulic AGC. The problem is to control the web thickness and the frontal tension on the support by adjusting the space and the speed of the rolls on this support as a function of the thickness and the tension between the webs [8][9][10], respectively measured by X-ray thickness gauges and tensiometers. In practice, the technique used to measure the thickness deviations corresponds to the installation of the X-ray sensor located after the roll stand, which causes a delay in the reaction system and causes a significant deterioration of the performance of the control.…”