随机多址协议下的鲁棒模型预测控制策略

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中图分类号：O231 文献标志码：A 文章编号： 1000-5013（2026）01-0119-08

Robust Model Predictive Control Strategy Under Random Multiple-Access Protocol

HUANG Zhenrong，DONG Yuying，GAO Chenxi （Collge of Information Science and Engineering，Huaqiao University，Xiamen 361o21，China）

Abstract： To effectively control systems subject to polytopic uncertainty under communication constraints，a robust model predictive control（RMPC） strategy that considers the random multiple-access protocol（RMP） is proposed.First，a closed-loop system model is constructed that constrains by communication limitations and parameter uncertainties. Second，the RMPC optimization problem is transformed into a convex optimization problem solvable online by utilizing parameter-dependent Lyapunov functions and linear matrix inequalities， thereby deriving sufficient conditions to ensure mean-square stability of the closed-loop system. Finaly，simulation case studies validate the proposed strategy. The results show that，after 10O independent simulation runs，the proposed strategy efectively guarantees closed-loop system mean-square stability under stochastic network conditions.

Keywords：robust model predictive control； random multiple-access protocol; networked control systems; mean-square stability

针对带约束控制问题，模型预测控制（model predictive control，MPC）因其可显式处理约束的优越性而广受关注[1-2]。（剩余10999字）