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<p>In this paper, the design problem of sliding mode interval observer (SMIO) for a class of uncertain linear singular systems is studied. The uncertainty and disturbance are assumed between the known minimum and maximum values. By introducing rank condition and coordinate transformation, we further relax the coefficient constraints of the initial system. The feasibility of the SMIO design is proved by the cooperative system and the Lyapunov stability criterion. Then, based on the SMIO design and the linear matrix inequality, the gain of the system feedback controller is given. Finally, through numerical simulation to demonstrate the effectiveness of the proposed approach.</p>

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Sliding Mode Interval Observer and Controller Designs for Uncertain Linear Singular Systems

  • 期刊论文

  • 发表日期：

    2025年9月24日

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  • Shouzhen Luan,
  • Bo Meng,
  • Zhen Wang

摘要

In this paper, the design problem of sliding mode interval observer (SMIO) for a class of uncertain linear singular systems is studied. The uncertainty and disturbance are assumed between the known minimum and maximum values. By introducing rank condition and coordinate transformation, we further relax the coefficient constraints of the initial system. The feasibility of the SMIO design is proved by the cooperative system and the Lyapunov stability criterion. Then, based on the SMIO design and the linear matrix inequality, the gain of the system feedback controller is given. Finally, through numerical simulation to demonstrate the effectiveness of the proposed approach.