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.
Observer-based output regulation for a class of stochastic port-Hamiltonian systems
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.
stochastic port-Hamiltonian systemoutput regulationstabilityinternal model principle
NETL
NSTL
万方数据
