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Safe controller synthesis with formal guarantees is widely employed in safety-critical systems. However, existing controller synthesis methods are subject to significant limitations in scalability and efficiency. This paper presents a novel controller incremental synthesis framework guided by barrier certificates (BCs), thereby generating a safe controller with BC verification. To enhance verification efficiency, we construct a learning-enabled polynomial BC combined with efficient post-verification, which is transformed into smaller-scale linear Programming (LP) subproblems for feasibility determination. Furthermore, we have implemented a tool called ISafeC and evaluated its performance over a set of benchmark examples. The comparative experimental results demonstrate the effectiveness and efficiency of our approach.

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Incremental Synthesis of Safe Controller Guided by Learning-Enabled Barrier Certificates with Efficient LP Verification

  • 会议论文

  • 出版模式：

    开放获取

  • 发表日期：

    2026年

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  • Niuniu Qi,
  • Hanrui Zhao,
  • Zhengfeng Yang,
  • Xia Zeng,
  • Mengxin Ren,
  • Chao Peng,
  • Zhiming Liu

摘要

Safe controller synthesis with formal guarantees is widely employed in safety-critical systems. However, existing controller synthesis methods are subject to significant limitations in scalability and efficiency. This paper presents a novel controller incremental synthesis framework guided by barrier certificates (BCs), thereby generating a safe controller with BC verification. To enhance verification efficiency, we construct a learning-enabled polynomial BC combined with efficient post-verification, which is transformed into smaller-scale linear Programming (LP) subproblems for feasibility determination. Furthermore, we have implemented a tool called ISafeC and evaluated its performance over a set of benchmark examples. The comparative experimental results demonstrate the effectiveness and efficiency of our approach.