系统主导特征向量配正设计的稳定性分析
Stability Analysis of System Design with Dominate Eigenvector Alignment Approach
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摘要: 利用主导特征向量配正方法设计控制器,使主导特征函数对系统参数摄动的敏感度 最小,且稳定.但是,这种设计方法不能保证所有非主导特征函数对系统参数摄动的敏感度也 小,且也稳定.因此,利用主导特征向量配正方法设计受到摄动的系统控制器时,必须检验闭 环系统的稳定性.文中给出了检验这种情况下闭环系统稳定性的定理和配正设计的控制器应 满足的条件.Abstract: In synthesizing system controller, the dominate eigenvector alignment approach can make the dominate eigenfunction stable and make its sensitivity to parameter perturbation the minimal. But for other non-dominate eigenfunction, such stability and insensitivity are not guaranteed by this approach. Thus the stability of the closed-loop system with perturbation must be checked when using the approach. This paper presents the stability theorems and stable conditions which must be satisfied in design of controller using the dominate eigenvector alignment approach.
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Key words:
- Eigenvector alignment /
- robust stability /
- multivariable system
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