Abstract
In order to weaken the influences of system uncertainties and coupling items on the coordinated tracking control performance of the speed and tension system of the reversible cold strip rolling mill, an adaptive nonsingular terminal sliding mode (ANTSM) backstepping control strategy using disturbance observers is proposed. First, time-varying gain extended state observers (TVGESOs) are constructed to dynamically observe the system's mismatched uncertainties, which weaken the initial peak phenomenon of the traditional extended state observer (ESO), and effectively improve the system's tracking control precision. Next, based on the backstepping control and the second order sliding mode integral filters, adaptive nonsingular terminal sliding mode controllers (ANTSMCs) for the speed and tension system of the reversible cold strip rolling mill are designed, which solve the “differential explosion” problem of conventional backstepping control, and make sliding mode variables converge in finite time. Again, neural network adaptive method is used to approximate the system's matched uncertainties, and the approximation values are introduced into the designed controllers for compensations. Finally, simulation research is carried out on the speed and tension system of a 1422 mm reversible cold strip rolling mill by using actual data, and the results show the validity of the proposed control strategy.
Highlights
Reversible cold strip rolling mill is the exclusive equipment for producing strip steel products, such as special steel, ordinary carbon steel, low-alloy steel, and so on [1]
Based on the above analysis, this paper proposes an adaptive nonsingular terminal sliding mode (ANTSM) backstepping control strategy for the speed and tension system of the reversible cold strip rolling mill using time-varying gain extended state observers (TVGESOs)
The coordinated tracking control problem for the speed and tension system of the reversible cold strip rolling mill has been investigated in this paper
Summary
Reversible cold strip rolling mill is the exclusive equipment for producing strip steel products, such as special steel, ordinary carbon steel, low-alloy steel, and so on [1]. Simulation research is carried out on the speed and tension system of a 1422 mm reversible cold strip rolling mill by using actual data, and the results show that the proposed control strategy can improve the coordinated tracking control performance of the system, and has better dynamic and static performance and robust stability. For uncertainty with an unknown upper bound, the selection of constant observer gain cannot guarantee the estimation precision of ESO, and the initial peak phenomenon caused by high gain leads to system instability For this problem, a novel TVGESO is constructed to observe the unmatched uncertainty i and the proof process of its stability is given. Take the absolute value of the (13), and the following can be obtained:
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