Fixed-time command filtered output feedback control for twin-roll inclined casting system with prescribed performance

Dongxiang Gao; Yujun Zhang; Libing Wu; Sihan Liu; Dongxiang Gao; Yujun Zhang; Libing Wu; Sihan Liu

doi:10.3934/mbe.2024100

Mathematical Biosciences and Engineering

2024, Volume 21, Issue 2: 2282-2301. doi: 10.3934/mbe.2024100

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Fixed-time command filtered output feedback control for twin-roll inclined casting system with prescribed performance

1.
School of Computer and Software Engineering, University of Science and Technology Liaoning, Anshan, Liaoning, CO 114051, China
2.
School of Science, University of Science and Technology Liaoning, Anshan, Liaoning, CO 114051, China

Academic Editor: Shangce Gao

Received: 07 October 2023 Revised: 17 December 2023 Accepted: 05 January 2024 Published: 12 January 2024

The article investigates the issue of fixed-time control with adaptive output feedback for a twin-roll inclined casting system (TRICS) with disturbance. First, by using the mean value theorem, the nonaffine functions are decoupled to simplify the system. Second, radial basis function neural networks (RBFNNs) are introduced to approximate an unknown term, and a nonlinear neural state observer is created to handle the effects of unmeasured states. Then, the backstepping design framework is combined with prescribed performance and command filtering techniques to demonstrate that the scheme proposed in this article guarantees system performance within a fixed-time. The control design parameters determine the upper bound of settling time, regardless of the initial state of the system. Meanwhile, it ensures that all signals in the closed-loop system (CLS) remain bounded, and it can also maintain the tracking error within a predefined range within a fixed time. Finally, simulation results assert the effectiveness of the method.
- twin-roll inclined casting,
- fixed-time control,
- output feedback,
- prescribed performance,
- command filter
Citation: Dongxiang Gao, Yujun Zhang, Libing Wu, Sihan Liu. Fixed-time command filtered output feedback control for twin-roll inclined casting system with prescribed performance[J]. Mathematical Biosciences and Engineering, 2024, 21(2): 2282-2301. doi: 10.3934/mbe.2024100

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Abstract

The article investigates the issue of fixed-time control with adaptive output feedback for a twin-roll inclined casting system (TRICS) with disturbance. First, by using the mean value theorem, the nonaffine functions are decoupled to simplify the system. Second, radial basis function neural networks (RBFNNs) are introduced to approximate an unknown term, and a nonlinear neural state observer is created to handle the effects of unmeasured states. Then, the backstepping design framework is combined with prescribed performance and command filtering techniques to demonstrate that the scheme proposed in this article guarantees system performance within a fixed-time. The control design parameters determine the upper bound of settling time, regardless of the initial state of the system. Meanwhile, it ensures that all signals in the closed-loop system (CLS) remain bounded, and it can also maintain the tracking error within a predefined range within a fixed time. Finally, simulation results assert the effectiveness of the method.

References

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