| 线性多变量系统闭环特征结构的最优配置 |
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| 引用本文： | 耿征.线性多变量系统闭环特征结构的最优配置[J].南京航空航天大学学报,1988(2). |
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| 作者姓名： | 耿征 |
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| 摘 要： | 本文利用特征结构配置法所揭示的线性多变量反馈控制系统闭环特征值和特征向量的配置自由度,求解具有二次型性能指标的控制系统设计问题,使得闭环系统在具有任意给定的希望特征值集合条件下,性能指标达到极小。文中建立了最优二次型性能指标与闭环特征结构的关系,提出了逐个优化特征向量的算法,这一算法概念直观并具有较高的运算效率,可以推广到一般的特征结构优化问题。
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| 关 键 词： | 多变量控制系统 特征向量 闭环特征值 线性变量 |
Optimal Eigenstructure Assignment of Multivariable Linear System |
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| Geng Zheng.Optimal Eigenstructure Assignment of Multivariable Linear System[J].Journal of Nanjing University of Aeronautics & Astronautics,1988(2). |
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| Authors: | Geng Zheng |
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| Abstract: | A design method for multivariable linear systems with quadratic performance index is presented based on the eigenvalue and eigenvector assigning freedoms revealed by the eigenstructure assignment method. By using this method, the optimal linear feedback control law can beobtained which can assign any desired set of closed-loop eigenvalues andmake the quadratic performance index minimized.The relationship between quadratic performance index and closed-loop eigenstructure is established and a high efficiency algorithm for optimizing eigenvectors one by one is given which has the clear physical interpretation and can be generalized to deal with other problems of optimal eigenstructure assignment. |
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| Keywords: | multivariable control systems characteristic vector closed-cycle characteristie value linear variable |
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