基于降维动态观测器的一类多项式系统的非线性H_∞控制

针对一类存在外部扰动的多项式系统,研究了基于动态观测器的非线性H_∞控制设计问题.根据该类系统的结构特征,对线性时不变系统中动态观测器形式进行推广,构造出相应的非线性降维动态观测器.借鉴变量替换法研究思路,采用Lyapunov稳定性结合多项式平方和(SOS)凸优化理论,推导出该非线性H_∞控制问题的可解性条件和控制器构造方法.以质量弹簧阻尼系统为数值仿真实例,验证了所得结论的可行性和有效性.国家自然科学基金(61374037,61673325);;福建省自然科学基金(2015J01650,2016J01267);;福建省教育厅中青年教师教育科研项目(JAT170426);;厦门理工学院高层次人才项目(YKJ16024R

Prediction of Energy Resolution in the JUNO Experiment

International audienceThis paper presents the energy resolution study in the JUNO experiment, incorporating the latest knowledge acquired during the detector construction phase. The determination of neutrino mass ordering in JUNO requires an exceptional energy resolution better than 3% at 1 MeV. To achieve this ambitious goal, significant efforts have been undertaken in the design and production of the key components of the JUNO detector. Various factors affecting the detection of inverse beta decay signals have an impact on the energy resolution, extending beyond the statistical fluctuations of the detected number of photons, such as the properties of liquid scintillator, performance of photomultiplier tubes, and the energy reconstruction algorithm. To account for these effects, a full JUNO simulation and reconstruction approach is employed. This enables the modeling of all relevant effects and the evaluation of associated inputs to accurately estimate the energy resolution. The study reveals an energy resolution of 2.95% at 1 MeV. Furthermore, the study assesses the contribution of major effects to the overall energy resolution budget. This analysis serves as a reference for interpreting future measurements of energy resolution during JUNO data taking. Moreover, it provides a guideline in comprehending the energy resolution characteristics of liquid scintillator-based detectors