Input-to-State Stability of Reset-Integral Sliding Mode Control for Linear Systems

Xinxin Zhang; Leonid Freidovich

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arXiv · 2608.03802

Input-to-State Stability of Reset-Integral Sliding Mode Control for Linear Systems

Xinxin Zhang·Leonid Freidovich

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Abstract

This work presents a stability analysis of a hybrid control system integrating a reset controller (RC) featuring a single reset state with an integral sliding-mode controller (ISMC). It is shown that the reachability of the sliding surface is decoupled from the nominal reset mechanism. This decoupling property enables a Lyapunov-based stability analysis, demonstrating that the closed-loop RC-ISMC system achieves input-to-state stability (ISS) and uniform ultimate boundedness (UUB) in the presence of exogenous references and disturbances. Furthermore, global asymptotic stability (GAS) is recovered in the unperturbed regulation scenario. A numerical case study illustrates the theoretical results.

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BibTeX RIS

Xinxin Zhang, Leonid Freidovich. 2026-08-04. Input-to-State Stability of Reset-Integral Sliding Mode Control for Linear Systems. https://arxiv.org/abs/2608.03802

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