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Partial eigenstructure assignment of the vibration system based on multi-input PID active control.

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Bibliographic Details
Title: Partial eigenstructure assignment of the vibration system based on multi-input PID active control.
Authors: Mao, Huping1 (AUTHOR) maohp@nuc.edu.cn, Du, Yulong1 (AUTHOR)
Source: Journal of Vibration & Control. Feb2026, Vol. 32 Issue 3/4, p797-809. 13p.
Subjects: Active noise & vibration control, Pole assignment, Real-time control, Sensitivity analysis, Laplace transformation, Feedback control systems, Numerical calculations
Abstract: We propose a multi-input active control method to enable targeted assignment and suppression of closed-loop zeros and poles in a vibration system, while preventing system singularities. This approach integrates integral feedback into the dynamic flexibility matrix control framework. The method begins by introducing multi-input PID feedback into the free vibration equation of a multi-degree-of-freedom linear system. The Laplace transform is then applied to decompose and solve the resulting linear equations using LU decomposition, yielding the closed-loop system's transfer function matrix. When the preset zeros and poles are self-conjugate with negative real parts, the gain vector for multi-input PID feedback eigenstructure assignment is determined using the Levenberg–Marquardt method. The effectiveness of this method is demonstrated through third- and sixth-dimensional examples. Numerical results confirm its efficacy in multi-input active control with partial eigenstructure assignment, while a robustness analysis further supports its practical applicability. [ABSTRACT FROM AUTHOR]
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Database: Engineering Source
Description
Abstract:We propose a multi-input active control method to enable targeted assignment and suppression of closed-loop zeros and poles in a vibration system, while preventing system singularities. This approach integrates integral feedback into the dynamic flexibility matrix control framework. The method begins by introducing multi-input PID feedback into the free vibration equation of a multi-degree-of-freedom linear system. The Laplace transform is then applied to decompose and solve the resulting linear equations using LU decomposition, yielding the closed-loop system's transfer function matrix. When the preset zeros and poles are self-conjugate with negative real parts, the gain vector for multi-input PID feedback eigenstructure assignment is determined using the Levenberg–Marquardt method. The effectiveness of this method is demonstrated through third- and sixth-dimensional examples. Numerical results confirm its efficacy in multi-input active control with partial eigenstructure assignment, while a robustness analysis further supports its practical applicability. [ABSTRACT FROM AUTHOR]
ISSN:10775463
DOI:10.1177/10775463241304286