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本文针对一类不确定分数阶广义系统，研究其基于观测器的鲁棒预测控制问题。首先，基于分数阶微积分性质构造带有合适误差项的Lyapunov函数，运用Lyapunov稳定性理论求解其优化问题；其次，通过应用线性矩阵不等式与锥补线性算法，推导出鲁棒预测控制器存在的充分条件，并证明该条件满足闭环系统的可容许性；最后，借助仿真实验验证了控制策略的有效性。
Abstract：In this paper, an observer-based robust predictive control strategy is investigated for a class of uncertain fractional-order singular systems.Firstly, based on the properties of fractional-order calculus, a Lyapunov function was constructed by incorporating appropriate error terms, and the associated optimization problem was addressed by using Lyapunov stability theorem.Secondly, by applying the linear matrix inequality and the cone complement linear algorithm, a sufficient condition for the existence of the robust predictive controller was established, while ensuring that the closed-loop system remains admissible.Finally, the effectiveness of the proposed control strategy was validated through simulation experiments.
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基本信息:
DOI：10.20062/j.cnki.CN37-1453/N.2025.02.003
中图分类号:O231
引用信息:
[1]李银萍,刘晓华.一类不确定分数阶广义系统的基于观测器鲁棒预测控制[J].鲁东大学学报(自然科学版),2025,41(02):113-121.DOI:10.20062/j.cnki.CN37-1453/N.2025.02.003.
基金信息:
山东省自然科学基金(ZR2020MF063)