基于最优控制方法的一类不确定非线性系统的鲁棒控制  

Robust control for a class of uncertain nonlinear systems based on optimal control theory

作　　者：余凯[1] 赵长安[1] 

机构地区：[1]哈尔滨工业大学控制工程系,黑龙江哈尔滨150001

出　　处：《电机与控制学报》2001年第4期256-258,共3页Electric Machines and Control

摘　　要：研究了一类不确定非线性系统的鲁棒控制问题，目的是在未满足不确定性匹配条件的情况下设计稳定系统的状态反馈。通过将设计鲁棒控制器问题转化为设计最优控制器问题以补偿系统中的不确定性，证明了最优控制的解即为鲁棒控制的解，并通过仿真说明这种设计方法的效果。The problem of optimal robust control for a class of uncertain nonlinear systems is considered. The goal is to design a state feedback to stabilize systems which do not satisfy the conventional matching condition for uncertainty. In order to compensate the uncertainty, the robust controller design problem is transformed to the optimal controller design problem. It is proved that the solution to the optimal control problem is a solution to the robust control problem. The simulation results show that the method presented is effective.

关 键 词：不确定非线性系统 鲁棒控制 最优控制 数学模型 

分 类 号：TP273.1[自动化与计算机技术—检测技术与自动化装置] O231[自动化与计算机技术—控制科学与工程]