受扰线性离散时滞系统的前馈-反馈最优控制  

Feedforward and feedback optimal control for linear discrete timedelay systems with deterministic disturbances

作　　者：唐功友[1] 张宝琳[1] 王海红[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：《哈尔滨工业大学学报》2005年第11期1529-1532,共4页Journal of Harbin Institute of Technology

基　　金：国家自然科学基金资助项目(60074001);山东省自然科学基金资助项目(Y2000G02)

摘　　要：为研究含外界确定扰动的线性离散时滞系统的前馈-反馈最优控制(FFOC)问题,提出了设计FFOC的逐次逼近法.首先构造了一个其解收敛于原时滞系统的无时滞系统序列,然后将离散时滞系统的最优控制问题化为求解无时滞系统最优控制序列问题,通过截取最优控制序列解的有限项,得到系统的前馈-反馈次优控制律.仿真算例表明,该算法是有效的,且对外部确定扰动具有良好的鲁棒性.A feedforward and feedback optimal control （ FFOC ） for linear discrete time - delay systems with external deterministic disturbances is considered. A successive approximation approach is proposed to solve the FFOC. A sequence of non-delay discrete systems is first constructed, which uniformly converges to the original discrete system with time-delay. Then the optimal control for the original discrete system is transformed into an optimal control sequence for non-delay systems. By intercepting a finite term of the optimal sequence, a suboptimal control law is obtained. Simulations indicate that the algorithm is efficient and more robust with respect to the external disturbances.

关 键 词：离散时滞系统 前馈-反馈控制 最优控制 逐次逼近法 确定扰动 

分 类 号：TP13[自动化与计算机技术—控制理论与控制工程]