含正弦扰动的离散时滞系统的次优减振控制  

Suboptimal Damping Control for Linear Discrete Time-delay Systems with Sinusoidal Disturbances

作　　者：张宝琳[1] 唐功友[1] 郑师[1] 孙亮[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》2006年第1期19-23,33,共6页Control and Decision

基　　金：国家自然科学基金项目(60574023);山东省自然科学基金项目(Y2000G02);青岛自然科学基金项目(05-1-JC-94)

摘　　要：研究状态变量含有时滞的线性离散系统在正弦扰动下的前馈-反馈最优减振控制问题.将系统的最优控制问题转化为非齐次线性两点边值问题族,利用逐次逼近法得到了系统的最优控制律.该控制律由解析的前馈-反馈控制律和补偿序列的极限组成.通过截取补偿序列的有限项,得到了系统的前馈-反馈次优减振控制律.仿真结果表明,该方法对抑制正弦扰动的鲁棒性优于经典反馈最优控制.Optimal damping control for linear discrete time-delay systems with additive sinusoidal disturbances is considered. The original optimal control problem is transformed into a sequence of nonhomogeneous linear two-point boundary value problems. By using a successive approximation approach, the optimal control law that consists of accurate linear terms and a limit of a sequence of adjoint compensation terms is obtained. A suboptimal control law is obtained by taking the finite-step iteration of the compensation sequence. Simulations show that the proposed algorithm has better robustness with respect to additive sinusoidal disturbances than that of the classical feedback optimal control.

关 键 词：离散时滞系统 最优控制 逐次逼近法 正弦扰动 前馈-反馈控制 

分 类 号：TP13[自动化与计算机技术—控制理论与控制工程]