| 引用本文: | 顾幸生 蒋慰孙.线性时变大系统递阶控制的一种新方法[J].控制理论与应用,1995,12(3):274~283.[点击复制] |
| GU Xingsheng and JIANG Weisun.A Novel Approach to Hierarchical Control for Linear Time-Varying Large Scale Systems[J].Control Theory and Technology,1995,12(3):274~283.[点击复制] |
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| 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 |
| 摘要点击 903 全文点击 393 投稿时间：1994-01-04 修订日期：1994-12-06 |
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| DOI编号 |
| 1995,12(3):274-283 |
| 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 |
| 基金项目 |
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| 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. |
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