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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.
The dominant eigenvector is used to design the controller with the positive method so that the sensitivity of dominant eigenfunctions to perturbation of system parameters is the smallest and stable. However, this design method does not guarantee that all non-dominant eigenfunctions are less sensitive to perturbation of system parameters and are also stable. Therefore, when using the dominant eigenvector with the positive method to design a system controller that is perturbed, the stability of the closed-loop system must be verified. In this paper, the theorem of checking the stability of the closed-loop system in this case and the conditions that should be satisfied by the designed controller are given.