摘要
建立关于Sylvester方程的鲁棒极点配置梯度流优化算法模型,在线求解相应的二次优化问题,并在线计算状态反馈增益矩阵,使得闭环系统矩阵的全部特征值位于给定的区域中.对于一切满足条件的扰动,具有最小灵敏度,闭环系统大范围一致渐近稳定.仿真结果验证了该方法适用于非线性系统的鲁棒镇定问题和在线鲁棒极点配置问题.
A gradient flow algorithm models developed for the on-line robust pole assignment is proposed for solving Sylvester equations. The algorithm shows to be capable of synthesizing linear feedback control systems via on-line computing feedback gain matrix and desired closed-loop poles. Meanwhile, the close-loop system matrix is least sensitive to perturbation or uncertainty, and uniformly asymptotically stable in largely range. Simulation results show that the proposed approach is suitable to the problem of robust stabilization for nonlinear system and on-line robust pole assignment.
出处
《控制与决策》
EI
CSCD
北大核心
2011年第1期75-79,共5页
Control and Decision
基金
黑龙江省教育厅科学技术研究基金项目(11544036)
