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This paper presents a distributed structured controller design method in the case of finite number of subsystems with sensor failures. The constraint on the number of sensor failures is represented by a cardinality constraint on the controller gain matrix. A mixed integer programming method is employed to deal with this type of column cardinality constraint. By using the Lyapunov functional method, we present a sufficient condition that guarantees the \(H_\infty \) asymptotic stability of the closed-loop system. And a column sparse controller design method is presented in the form of linear matrix inequalities. Finally, a numerical example is provided to illustrate the effectiveness of the developed approach.

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A Column Sparse Controller Design for Distributed Networked Control Systems

  • 会议论文

  • 发表日期：

    2025年

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  • Yanpeng Guan,
  • Hongjie Yin,
  • Chao Sun,
  • Qingsheng Yao

摘要

This paper presents a distributed structured controller design method in the case of finite number of subsystems with sensor failures. The constraint on the number of sensor failures is represented by a cardinality constraint on the controller gain matrix. A mixed integer programming method is employed to deal with this type of column cardinality constraint. By using the Lyapunov functional method, we present a sufficient condition that guarantees the \(H_\infty \) asymptotic stability of the closed-loop system. And a column sparse controller design method is presented in the form of linear matrix inequalities. Finally, a numerical example is provided to illustrate the effectiveness of the developed approach.