基于观测器的状态约束Hamilton系统的输出调节
PDF下载 (156)周 粤,徐 松.基于观测器的状态约束Hamilton系统的输出调节[J].宁波大学学报(理工版),2026,39(2):113-120.DOI:10.20098/j.cnki.1001-5132.2025.0604
ZHOU Yue,XU Song.Observer-based output regulation of state-constrained Hamiltonian systems[J].Journal of Ningbo University(Natural Science & Engineering Edition),2026,39(2):113-120.DOI:10.20098/j.cnki.1001-5132.2025.0604
| Title: | Observer-based output regulation of state-constrained Hamiltonian systems |
| 作者: | 周 粤, 徐 松 |
| Author(s): | ZHOU Yue, XU Song |
| 关键词: | 状态约束; Hamilton系统; 输出调节; 障碍存储函数 |
| Keywords: | state constraint; Hamiltonian system; output regulation; barrier storage function |
| 分类号: | O211.9 |
| DOI: | 10.20098/j.cnki.1001-5132.2025.0604 |
| 文献标识码: | A |
| 摘要: | 针对具有状态约束的Hamilton系统的鲁棒输出调节问题，提出了一种基于观测器的输出调节方法。利用内模原理和障碍存储函数（BSF）方法，给出了系统BSF存在的充分条件，所得到的调节器在保证闭环系统满足状态约束条件的同时，解决系统输出调节问题。该方法能保持Hamilton系统耗散结构，将系统鲁棒输出调节问题转化为镇定问题，从而避免求解调节器方程和Hamilton-Jacobi-Issacs不等式。数值仿真结果表明该方法具有有效性。 |
| Abstract: | An observer-based output regulation method is proposed for the robust output regulation problem of state-constrained Hamiltonian system. Using the internal model principle and the barrier storage function (BSF) method, a sufficient condition for the existence of the BSF of the system is given, and the proposed regulator solves the output regulation problem of the closed-loop system while guaranteeing that the closed-loop system satisfies the state constraints. The method maintains the dissipative structure of the Hamiltonian system and transforms the robust output regulation problem into a stabilization problem, thus avoiding the need to solve the regulator equations and the Hamilton-Jacobi-Issacs inequality. Numerical simulation results demonstrate the effectiveness of this output regulation method. |
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| 备注/Memo: | 收稿日期：2025-06-05 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：周 粤，硕士研究生，主要研究方向为非线性控制。E-mail: 2311400067@nbu.edu.cn *通信作者：徐 松，教授，主要研究方向为非线性控制、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/ |
