线性最优控制系统的频域综合方法(多输入-多输出系统)
A Synthesis Method of Linear Optimal Control Systems in Frequency Domain(Multi-Input Multi-Output Systems
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摘要: 本文用频域方法讨论了二次性能指标下的多输入-多输出线性系统最优控制的综合问题. 利用多项式矩阵的谱分解方法,把求解最优综合函数的问题归结为求解两个多项式矩阵的 Diophantine方程,从而给出了该问题解的频域形式.Abstract: In this paper, the synthesis problem of multivariable linear optimal control systems with quadratic performance index is discussed using frequency domain method. By means of the spectral factorization of polynomial matrix, optimal synthesis function in frequency domain is still obtained by solving two Diophantine equations, and hence frequency domain form for solving the problem is presented.
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