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<p>For discrete-time switched linear systems, a switching law is constructed by concatenation of switching paths with a unified least length to realize sub-minimum state overshoot. The least switching path length is estimated, and a schematic design algorithm is given. For particular discrete-time switched linear systems whose subsystem matrices are diagonal/triangular matrices, integer programming is used to determine the least switching path length quickly. Two numerical examples are given to verify the main results.</p>

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Minimum State Overshoot Design for Discrete-Time Switched Linear Systems: A Synchronous Approach

  • 期刊论文

  • 发表日期：

    2025年7月4日

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  • Zhiming Chen,
  • Fuheng Cheng

摘要

For discrete-time switched linear systems, a switching law is constructed by concatenation of switching paths with a unified least length to realize sub-minimum state overshoot. The least switching path length is estimated, and a schematic design algorithm is given. For particular discrete-time switched linear systems whose subsystem matrices are diagonal/triangular matrices, integer programming is used to determine the least switching path length quickly. Two numerical examples are given to verify the main results.