一类基于观测器的随机端口Hamilton系统的输出调节
PDF下载 (153)王飞飞,徐 松*.一类基于观测器的随机端口Hamilton系统的输出调节[J].宁波大学学报(理工版),2024,37(3):36-43.DOI:10.20098/j.cnki.1001-5132.2023.1113
WANG Feifei,XU Song.Observer-based output regulation for a class of stochastic port-Hamiltonian systems[J].Journal of Ningbo University(Natural Science & Engineering Edition),2024,37(3):36-43.DOI:10.20098/j.cnki.1001-5132.2023.1113
| Title: | Observer-based output regulation for a class of stochastic port-Hamiltonian systems |
| 作者: | 王飞飞, 徐 松* |
| Author(s): | WANG Feifei, XU Song |
| 关键词: | 随机端口Hamilton系统; 输出调节; 稳定性; 内模原理 |
| Keywords: | stochastic port-Hamiltonian system; output regulation; stability; internal model principle |
| 分类号: | O211.9 |
| DOI: | 10.20098/j.cnki.1001-5132.2023.1113 |
| 文献标识码: | A |
| 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. |
| Abstract: | 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. |
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| 备注/Memo: | 收稿日期: 2023−11−07. 宁波大学学报（理工版）网址: http://journallg.nbu.edu.cn/ 基金项目: 国家自然科学基金数学天元基金（12226510）. 第一作者: 王飞飞, 硕士研究生, 主要研究方向: 非线性控制、随机控制. E-mail: 2111071037@nbu.edu.cn *通信作者: 徐松, 教授, 主要研究方向: 非线性控制、随机控制. E-mail: xusong@nbu.edu.cn 宁波大学学报（理工版）网址：http://journallg.nbu.edu.cn/ |
