一类基于观测器的随机端口Hamilton系统的输出调节  

Observer-based output regulation for a class of stochastic port-Hamiltonian systems

作　　者：王飞飞 徐松 WANG Feifei;XU Song(School of Mathematics and Statistics,Ningbo University,Ningbo 315211,China)

机构地区：[1]宁波大学数学与统计学院,浙江宁波315211

出　　处：《宁波大学学报（理工版）》2024年第3期36-43,共8页Journal of Ningbo University：Natural Science and Engineering Edition

基　　金：国家自然科学基金数学天元基金(12226510).

摘　　要：研究一类含匹配干扰的随机端口Hamilton系统的输出调节问题,提出了一种基于观测器的输出调节方法.首先,利用随机端口Hamilton系统的耗散结构和内模原理,设计基于观测器的调节器,保证闭环系统依概率渐近稳定且追踪误差渐近收敛.在此基础上,对同时含匹配干扰和外部干扰的随机端口Hamilton系统,给出基于观测器的鲁棒调节器.这些输出调节方法能保证随机端口Hamilton系统的耗散结构,将系统的输出调节问题转为稳定性问题,从而避免求解调节器方程及Hamilton-Jacobi-Issacs不等式.数值结果表明这些输出调节方法是有效的.The output regulation problem of a class of stochastic port-Hamiltonian systems(SPHSs)with corresponding disturbance is studied,and an observer-based output regulation method is proposed.Firstly,an observer-based regulator is designed for SPHSs using the stochastic dissipativity and the internal model principle,which ensures the asymptotical stability in probability of the closed-loop system and drives the tracking error converge to the origin.On this basis,an observer-based robust regulator is used for SPHSs with both corresponding and external disturbances.The output regulators preserve the stochastic port-Hamiltonian structure of the disturbed systems,thus the output regulation problems are in part solved for the stabilization without needing to solve regulator equations and Hamilton-Jacobi-Issacs inequalities.Numerical results can be used to validate the effectiveness of the output regulation methods presented in paper.

关 键 词：随机端口Hamilton系统 输出调节 稳定性 内模原理 

分 类 号：O211.9[理学—概率论与数理统计]