一类不确定分数阶广义系统的基于观测器鲁棒预测控制  

Robust Predictive Control for a Class of Uncertainty Fractional-orderSingular Systems Based on Observer

作　　者：李银萍 刘晓华 LI Yinping;LIU Xiaohua(School of Mathematics and Statistics Science,Ludong University,Yantai 264039,China)

机构地区：[1]鲁东大学数学与统计科学学院,山东烟台264039

出　　处：《鲁东大学学报(自然科学版)》2025年第2期113-121,共9页Journal of Ludong University:Natural Science Edition

基　　金：山东省自然科学基金(ZR2020MF063)。

摘　　要：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。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.

关 键 词：不确定分数阶广义系统 观测器 鲁棒预测控制 LYAPUNOV函数 

分 类 号：TP273[自动化与计算机技术—检测技术与自动化装置]