受扰非线性时滞系统的最优跟踪控制(英文)  

Optimal Tracking Control for Nonlinear Time-delay Systems with Persistent Disturbances

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作  者:唐瑞春[1] 马华民[2] 郭双乐[3] 

机构地区:[1]中国海洋大学信息科学与工程学院,青岛266100 [2]华为科技有限公司,深圳518129 [3]衡水学院数学与计算机科学系,衡水053000

出  处:《系统仿真学报》2009年第9期2629-2633,共5页Journal of System Simulation

基  金:Sponsored by: the National Natural Science Foundation of China (60574023);the Natural Science Foundation of Shandong Province (Z2005G01)

摘  要:考虑受扰非线性时滞系统的最优跟踪控制问题。基于内模原理构造扰动补偿器,将受扰系统转化成无扰动的增广系统。通过引入灵敏度参数并围绕其进行Maclaurin级数展开,将原时滞非线性系统的最优跟踪控制问题转化为无时滞的两点边值问题。通过求解增广系统的最优跟踪控制律从而得到原系统的最优跟踪控制律。仿真实例表明该方法的有效性。The optimal tracking control (OTC) was considered for nonlinear time-delay systems affected by external persistent disturbances. Based on the internal model principle, a disturbance compensator was constructed. The system with persistent disturbances was transformed into an .augmented system without persistent disturbances. The original optimal tracking control problems of nonlinear time-delay systems could be transformed into a sequence of two-point boundary value (TPBV) problems without time-delay by introducing a sensitivity parameter and expanding Maclaurin series around it. By solving OTC law of the augmented systems, the OTC law of the original system was obtained. Simulations demonstrate the validity of the designed approach.

关 键 词:最优跟踪控制 非线性时滞系统 持续扰动 灵敏度法 

分 类 号:TP13[自动化与计算机技术—控制理论与控制工程]

 

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