线性时变大系统递阶控制的一种新方法  

A Novel Approach to Hierarchical Control for Linear Time-Varying Large Scale Systems

作　　者：顾幸生[1] 蒋慰孙[1] 

机构地区：[1]华东理工大学自动化研究所

出　　处：《控制理论与应用》1995年第3期274-283,共10页Control Theory & Applications

摘　　要：根据正交函数逼近理论，本文提出了解决时变大系统递阶控制的一种新型逼近算法．文中首先简单介绍了ＰＭＣＰ，同时给出了一些新的研究结果；研究了其在两点边值问题中的逼近解．动态大系统的逼近控制分为二级，第一级是子系统的优化问题，采用ＰＭＣＰ逼近技术解决；第二级为协调级，协调向量也通过ＰＭＣＰＥ近变换求解，这样使问题得到大为简化，不但算法简单，便于计算机运算，而且逼近精度高．数值仿真例子表明了本文提出的算法的有效性．In this Paper,a brief review of piecewise multiple Chebyshev Polynomials(PMCP)which were introduced by the authors[1.2.3.]has ben given and some new research results about PMCP have been investigated.The control of dynamic large scale syStem consists of two levels,in the first level,the Optimhation of N-subsystems by PMCP has been solved,and in the second level,the coordinate vectors were calculated by PMCP approalmate technique based on interactive predictive method. And a well-poed two-level algorithm for hierarchical control has been presented with itS advantageS of simplicity,convenience for computation and high ap proximation accuracy.An example has been given to demonstrate the validity of the proPosed method.

关 键 词：递阶控制 最优控制 时变系统 大系统 

分 类 号：TP273[自动化与计算机技术—检测技术与自动化装置] TP13[自动化与计算机技术—控制科学与工程]