用奇异摄动改进集结模型
A Kind of Aggregated Model Improved by Singular Perturbation
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摘要: 本文用奇异摄动原理改进集结法,得到一种新的集结模型.该模型是完全集结,当输入函 数比脉冲函数、阶跃函数复杂时,比其它完全集结模型的响应拟合好.该集结模型能给出原系 统一个稳定的准最优控制,用一种迭代法可以求出一类系统的集结矩阵.Abstract: In this paper, aggregation method is improved by the principle of singular perturbation, and a new kind of aggregated model is obtained. The model is perfect aggregative. When imput of system is more complex than pulse function and jump function, this model provides response more accurately than other perfect aggregation models. The model can also provide a stable sub-optimal control of original system. The aggregation matrix of a class of systems can be found by iteration.
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