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线性变参数系统事件触发插值预测控制

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针对带有不确定性有界扰动的线性变参数约束系统,提出了一种事件触发插值模型预测控制方法.引入插值策略令优化问题的解将表现为当前时刻系统预设的反馈控制律的参数化形式,以降低优化问题求解变量的数量进而减少系统的计算负担.通过将来自系统调度参数变化的乘性扰动和每一时刻输入的加性扰动叠加构建有限步紧缩约束集,求解名义系统的优化问题得到最优解,并以名义系统和实际系统出现足够大的偏差作为触发条件,与插值系数和鲁棒约束集相关的触发阈值将在线计算.证明了所提出方法的递归可行性以及区域输入-状态稳定性,最后以一个数值例子验证了该方法.
Event-Triggered Interpolation Predictive Control of Linear Parameter-Varying Systems
In this paper,an event-triggered interpolation model predictive control method is proposed for constrained linear parameter varying(LPV)systems with uncertain bounded disturbances.By the interpolation method,optimization problem solution will show the current moment system default parameterized form of feedback control law,to reduce the number of optimization problem solving variables and reduce the burden of the system.Superimposing the multiplicative perturbations of system scheduling parameters and the additive perturbations of each time point,a finite step compact constraint set is constructed to realize the robust constraints.And the deviation of the nominal system and the actual system that exceeds the tight constraint set is used as the trigger condition.Trigger thresholds associated with interpolation coefficients and robust constraint sets are calculated online.We show that the proposed algorithm is recursively feasible and the closed-loop system is input-to-state stable in the attraction region.Finally,an example is given to verify the proposed method.

Model predictive controllinear parameter-varying systemevent-trigger controlinterpolation based control

何德峰、黄原驰、穆建彬

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浙江工业大学信息工程学院,杭州 310023

模型预测控制 线性变参数系统 事件触发控发 插值法

国家自然科学基金中央引导地方科技发展资金项目

621733032023ZY1045

2024

系统科学与数学
中国科学院数学与系统科学研究院

系统科学与数学

CSTPCD北大核心
影响因子:0.425
ISSN:1000-0577
年,卷(期):2024.44(3)
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