含参数不确定及时滞的线性系统自适应模型预测控制  

Adaptive Model Predictive Control for Linear Systems with Parametric Uncertainties and Time Delay

作　　者：孔令仁 亓庆源 KONG Lingren;QI Qingyuan(Institute of Complexity Science,Qingdao University,Qingdao 266071,China;Qingdao Innovation and Development Center,Harbin Engineering University,Qingdao 266000,China)

机构地区：[1]青岛大学复杂性科学研究所,山东青岛266071 [2]哈尔滨工程大学青岛创新发展基地,山东青岛266000

出　　处：《复杂系统与复杂性科学》2024年第3期136-143,共8页Complex Systems and Complexity Science

基　　金：国家自然科学基金(61903210);山东省自然科学基金(ZR2019BF002);山东省自然科学基金重大基础研究项目(ZR2021ZD14);中国博士后基金(2019M652324,2021T140354)。

摘　　要：探讨了一类含参数不确定和输入延迟的约束多输入多输出线性系统的自适应模型预测控制问题。提出了一种基于时变更新率的自适应更新律,实现了在输入延迟的情况下更新估计系统的不确定参数。为了处理约束,将优化问题转换为源自于min-max优化可解的简单结构。此外,从理论上证明了闭环系统的渐近稳定性,并证明了提出的自适应模型预测控制策略是递归可行的。最后,数值模拟验证了所提方法的有效性。This paper investigates the adaptive model predictive control(MPC)for a class of constrained linear multiple-input multiple-output(MIMO)systems with parametric uncertainty and input delay.An adaptive update law based on time-varying updating rate is proposed,which enables the update of uncertain parameters in the presence of input delay.Consequently,to deal with the constraints,we convert the optimization problem into a solvable simple structure,which originates from the min-max optimization.Furthermore,theoretically,it is shown that the closed-loop system is asymptotically stable and the proposed adaptive MPC strategy is proved to be recursively feasible.Finally,numerical simulation is given to illustrate the efficacy of the proposed method.

关 键 词：自适应模型预测控制 输入延迟 参数不确定性 离散时间系统 

分 类 号：O231[理学—运筹学与控制论] TP273[理学—数学]