受扰线性离散系统的前馈-反馈最优控制  

Feedforward and feedback optimal control for discrete linear systems with disturbances

作　　者：唐功友[1] 马慧[1] 张宝琳[1] 

机构地区：[1]中国海洋大学信息科学与工程学院,山东青岛266071

出　　处：《控制与决策》2005年第3期266-270,共5页Control and Decision

基　　金：国家自然科学基金项目(60074001);国家863计划项目(2001AA612022);山东省自然科学基金项目(Y2000G02).

摘　　要：研究具有已知动态特性但未知初始条件的持续外界扰动的线性离散系统最优控制问题.给出了前馈-反馈最优控制律的存在唯一性条件,并提出了最优控制律的设计算法.通过降维扰动观测器解决了前馈-反馈最优控制律的物理不可实现问题.对近海结构物振动控制的实例仿真表明,该设计算法易于实现,在抑制外部持续扰动和鲁棒性方面优于经典的状态反馈最优控制.Optimal control problem is studied for linear discrete systems affected by external persistent disturbances with known dynamic characteristics but unknown initial conditions. The existence and uniqueness conditions of feedforward and feedback optimal control law is proposed. The algorithm of solving the optimal control problem is presented. A reduced-order disturbance observer is designed to get a physically realizable feedforward and feedback optimal controller. A vibration control example for offshore structure shows that the control law is efficient and more robust than the classical state feedback optimal control law with respect to errors produced by the external disturbances.

关 键 词：线性离散系统 持续扰动 扰动观测器 前馈-反馈控制 最优控制 

分 类 号：TP13[自动化与计算机技术—控制理论与控制工程]