Dynamic soft variable structure control strategy for Delta operator singular systems

Yunlong Liu

doi:10.1016/j.cnsns.2026.110218

Dynamic soft variable structure control strategy for Delta operator singular systems

2026-05-27

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DOI：10.1016/j.cnsns.2026.110218

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Research Highlights • A novel dynamic soft variable structure control (DSVSC) strategy is proposed for Delta operator singular systems under high frequency sampling. • The Delta operator unifies continuous-time singular system and discrete-time singular system models, and overcomes numerical ill-condition stability of shift operator discretization. • The proposed controller effectively attenuates the chattering and accelerates the convergence by the selection strategy employing the dynamic difference equation. • The admissibility of the Delta operator singular DSVSC systems is rigorously proved by a singular Lyapunov function. • The controller parameters are designed, and the simulation results show superior dynamic performance compared with conventional control strategies.

Keywords:

Delta operator

singular systems

variable structure control

dynamic soft control

Lyapunov function

Dynamic soft variable structure control strategy for Delta operator singular systems

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