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Robust partial eigenvalue assignment problem of high order control system
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AI
DOI：10.1016/j.ymssp.2025.113323.png)
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Abstract
En 中文
In this paper, we consider the partial eigenvalue assignment problem of high order control systems (PEAP) by active feedback control. The real-valued spectral decomposition of the high order symmetric matrix polynomial is characterized, and some necessary and sufficient conditions that the no spill-over property can be preserved in the closed-loop, are provided. Using the measured receptances and system matrices, a new set of parametric solutions of the PEAP in the high order control system is characterized. In practice, the active feedback control should be robust, which means that the norms of the feedback matrices and the condition number of the closed-loop eigenvectors are as small as possible. We formulate the robust PEAP as an unconstrained minimization problem and propose a gradient-based optimization algorithm. Numerical experiments illustrate the effectiveness and robustness of the proposed method.
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