不确定Hamiltonian系统H_∞自适应控制研究  

Research on H_∞ Control of Uncertain Hamiltonian Systems

作　　者：兰永红[1] 尹俪莎 LAN Yong-hong;YIN Li-sha(School of information engineering, Xiangtan University, Xiangtan 411105, China)

机构地区：[1]湘潭大学信息工程学院

出　　处：《控制工程》2019年第8期1484-1489,共6页Control Engineering of China

基　　金：国家自然科学基金（61573298）;湖南省教育厅优秀青年项目（15B238）

摘　　要：针对一类参数不确定Hamilton系统,根据Lyapunov稳定性理论,提出一种基于观测器的自适应控制方法。首先,针对标称Hamilton系统,研究其控制器设计问题,将结果推广至含有参数不确定性的Hamilton系统,并给出其自适应控制器设计方法。然后,考虑到系统状态的不可测性,根据不确定Hamilton系统的结构特点,提出一种基于状态观测器的自适应控制器设计方法。最后,通过数值仿真验证所提方法的有效性。By using Lyapunov stability theory, an observer-based H∞ adaptive controller design method was proposed for a class of Hamiltonian systems with parametric uncertainties in this paper. First, the H∞ controller design problem was investigated for nominal Hamiltonian systems and the obtained result was extended to Hamiltonian systems with parametric uncertainties. The H∞ adaptive controller was also proposed. Next,considering the immeasurable of the system states and according to the structural characteristics of uncertain Hamilton systems, an observer-based H∞ adaptive controller design method was presented. Finally, the validity of the proposed method is verified by a numerical example.

关 键 词：HAMILTON系统 控制 观测器 自适应控制 

分 类 号：TP1[自动化与计算机技术—控制理论与控制工程]