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

中文关键词  大系统  递阶控制  最优控制  函数逼近  时变系统  正交多项式

英文关键词  large scale system  hierarchical control  optimal control  function approximation  time-varying systems  two-point-boundary-value

中文摘要

      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PMCP逼近变换求解，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。

英文摘要

      In this paper, a brief review of piecewise multiple Chebyshev polynomials (PMCP) which were introduced by the authors [1,2,3,4] has been 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 optimization of N- subsystems by PMCP has been solved, and in the second level, the coordinate vectors were calculated by PMCP approximate technique based on interactive predictive method. And a well-posed two- level algorithm for hierarchical control has been presented with its advantages of simplicity, convenience for computation and high approximate accuracy. An example has been given to demonstrate the validity of the proposed method.