摘要
给出了一个利用非结构模型求解、用脉冲响应函数描述的系统的分析和最优控制问题的新方法。该方法共分两步:(一)是利用非结构模型,将用脉冲响应函数描述的系统的分析和最优化控制问题,分别近似表示为虚拟状态空间中的一个线性系统的分析和输出优化控制问题;(二)是在(一)基础上,进一步用正交逼近方法求它们的解。同时给出两个数值例子来说明该方法的有效性。
A new method via unstructured model is presented for analysing the system described by impulse response function and solving its optimal control problem. The problem is first transfered to analysis and optimal control of a linear system in a fictitious state space and then solved by using the orthogonal approximating approach. Two case studies are also included to demonstrate the new method.
基金
国家自然科学基金
关键词
脉冲响应
最优控制
系统分析
impulse response
system analysis
optimal control
orthogonal polynomials
system analysis
unstructured model