Prespecified-time sliding mode control for stability of maglev train suspension systems

Lingling Zhang; Lingling Zhang

doi:10.3934/era.2026070

Electronic Research Archive

2026, Volume 34, Issue 3: 1546-1558. doi: 10.3934/era.2026070

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Prespecified-time sliding mode control for stability of maglev train suspension systems

Lingling Zhang ^,

School of Mathematics, Changsha University, Changsha 410022, China

Received: 25 December 2025 Revised: 04 February 2026 Accepted: 11 February 2026 Published: 13 February 2026

This paper focuses on achieving prespecified-time stability in maglev suspension systems. Within a sliding mode control framework, we design three types of controllers for finite-time, fixed-time, and prespecified-time convergence. Pole assignment techniques are utilized to precisely tailor the system dynamics on the sliding manifold. The theoretical findings are validated through numerical simulations, which highlight the practical benefits of the proposed control strategies.
- maglev train,
- prespecified-time stability,
- Lyapunov approach,
- sliding mode control
Citation: Lingling Zhang. Prespecified-time sliding mode control for stability of maglev train suspension systems[J]. Electronic Research Archive, 2026, 34(3): 1546-1558. doi: 10.3934/era.2026070

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Abstract

This paper focuses on achieving prespecified-time stability in maglev suspension systems. Within a sliding mode control framework, we design three types of controllers for finite-time, fixed-time, and prespecified-time convergence. Pole assignment techniques are utilized to precisely tailor the system dynamics on the sliding manifold. The theoretical findings are validated through numerical simulations, which highlight the practical benefits of the proposed control strategies.

References

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