线性时滞系统基于观测器的最优输出跟踪控制器近似设计  

Observer-based approximate design of optimal output-tracking controller for linear systems with time-delay

作　　者：唐功友[1] 李超[1] 高洪伟[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266100

出　　处：《控制理论与应用》2008年第1期120-124,共5页Control Theory & Applications

基　　金：国家自然科学基金资助项目(60574023);山东省自然科学基金重点资助项目(Z2005G01);青岛市自然科学基金资助项目(05-1-JC-94)

摘　　要：研究线性时滞系统的最优输出跟踪控制器近似设计过程.首先根据原系统最优输出跟踪控制问题构造了两个分别具有已知初始条件和终端条件的微分方程迭代序列,并证明它们一致收敛于原问题的最优解.然后通过对该解序列的有限次迭代,得到最优输出跟踪控制问题的一个近似解,进一步给出一个计算近似最优输出跟踪控制律的算法.最后通过构造降维参考输入观测器解决了最优输出跟踪控制器中前馈项的物理可实现问题.仿真结果表明该方法是有效的,且易于实现.An approximate design procedure of optimal output-tracking controller is considered for linear systems with time-delay. First, based on the optimal output-tracking control problem of the original system, two iterative sequences of differential equations with known initial and terminal conditions are constructed and proved to be convergent uniformly to the optimal solution of the original problem. Next, through a finite iteration of the solution sequence, an approximate solution of the optimal output-tracking control problem is obtained. Furthermore, an algorithm is given to calculate the approximate optimal output-tracking control law. Finally, a reduced-order reference input observer is designed to make the feedforward term in the optimal output-tracking controller physically realizable. Simulation results illustrate that the presented approach is effective and simple to implement.

关 键 词：线性系统 时滞系统 最优控制 输出跟踪控制 观测器 

分 类 号：TP13[自动化与计算机技术—控制理论与控制工程]