Time and frequency domain low order, low frequency approximation of mechanical systems

2024/05/01 by Hans Zwart, Zwart, Hans, Daniël W. M. Veldman +3
Engineering · #93B11 #93C05 #93C20 #93C80 #93C95 #Analysis of PDEs (math.AP) #Control Systems in Engineering #FOS: Mathematics #Hydraulic and Pneumatic Systems #Optimization and Control (math.OC) #Structural Health Monitoring Techniques

paper · pdf · doi:10.48550/arxiv.2405.00486

openalex publication_date 2024/05/01 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/30

Abstract

Control design for linear, time-invariant mechanical systems typically requires an accurate low-order approximation in the low frequency range. For example a series expansion of the transfer function around zero consisting of a mass, velocity, and compliance term. Because computing such a series expansion of the transfer function can be cumbersome, a new method to compute low-order approximations of mechanical systems is developed in this paper. The method does not require an explicit expression for the transfer function, which is not always available for infinite-dimensional systems. The advantages of the proposed method is demonstrated in three examples.

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