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This paper discusses the design issue of a model predictive controller for discrete singular systems. Using the state decomposition method, the discrete singular system is first broken down into difference equations and algebraic equations. On the basis of this, a Lyapunov-Krasovskii functional is then developed. After that, the sufficient conditions for the stability criterion of the discrete singular system’s model predictive controller are found using the established Lyapunov-Krasovskii functional and model predictive control theory, and the system’s model predictive control law is found by resolving the linear matrix inequality. Lastly, the effectiveness of the controller is verified by a numerical simulation.

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Model Predictive Controller Design for Discrete Singular Systems Based on State Decomposition Method

  • 会议论文

  • 发表日期：

    2025年

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  • Jiajun Wang,
  • Wenbin Chen,
  • Runzhang Zhang,
  • Xuyang Yuan,
  • Fang Gao

摘要

This paper discusses the design issue of a model predictive controller for discrete singular systems. Using the state decomposition method, the discrete singular system is first broken down into difference equations and algebraic equations. On the basis of this, a Lyapunov-Krasovskii functional is then developed. After that, the sufficient conditions for the stability criterion of the discrete singular system’s model predictive controller are found using the established Lyapunov-Krasovskii functional and model predictive control theory, and the system’s model predictive control law is found by resolving the linear matrix inequality. Lastly, the effectiveness of the controller is verified by a numerical simulation.