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ADAPTIVE IIR FILTERING TECHNIQUES FOR DYNAMIC MODELING OF A TWIN ROTOR SYSTEM

机译:双转子系统动态建模的自适应IIR滤波技术

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This paper investigates the development of a parametric model to characterise pitch movement in a twin rotor multi-input multi-output system (TRMS) using adaptive infinite impulse response (IIR) models. The TRMS is a laboratory platform designed for control experiments. In certain aspects, its behaviour resembles that of a helicopter. It typifies a high-order nonlinear system with significant cross coupling between its two channels. It also simulates similar problems and challenges encountered in real systems. These include complex dynamics that lead to both parametric and dynamic uncertainty, unmeasurable states and sensor and actuator noise. In this work, adaptive IIR filtering techniques using least mean square (LMS) and recursive least square (RLS) algorithms are investigated for dynamic modelling of the system. The system is initially excited with random gaussian sequence input signal of sufficient bandwidth (0-10Hz) to ensure that all resonance modes of interest are captured. The magnitude of the input signal is selected so that it does not drive the system out of its linear operating range. Good excitation is achieved from 0-2.5 Hz, which includes all the important rigid body and flexible modes. Then, adaptive IIR filters based on equation error formulation are used for modelling the system. Three standard algorithms; namely, LMS, normalized LMS and RLS are utilized as learning algorithms to update the parameters of the filter during the modelling process. A comparative assessment of the three learning algorithms, in characterising the system, is conducted. The performance of each model is assessed in terms of output tracking, minimization of the mean-square error, stability and algorithm convergence.
机译:本文研究了使用自适应无限冲激响应(IIR)模型来表征双转子多输入多输出系统(TRMS)中变桨运动的参数模型的开发。 TRMS是设计用于对照实验的实验室平台。在某些方面,其行为类似于直升机。它代表了一个高阶非线性系统,其两个通道之间存在明显的交叉耦合。它还模拟了实际系统中遇到的类似问题和挑战。其中包括导致参数和动态不确定性,无法测量的状态以及传感器和执行器噪声的复杂动力学。在这项工作中,研究了使用最小均方(LMS)和递归最小二乘(RLS)算法的自适应IIR滤波技术,用于系统的动态建模。最初,系统使用足够高带宽(0-10Hz)的随机高斯序列输入信号进行激励,以确保捕获所有感兴趣的谐振模式。选择输入信号的幅度,以使其不会将系统驱动到其线性工作范围之外。在0-2.5 Hz范围内可获得良好的激励,包括所有重要的刚体和柔性模式。然后,基于方程误差公式的自适应IIR滤波器用于系统建模。三种标准算法;即LMS,归一化LMS和RLS被用作学习算法,以在建模过程中更新滤波器的参数。在对系统进行表征时,对这三种学习算法进行了比较评估。根据输出跟踪,最小化均方误差,稳定性和算法收敛性来评估每个模型的性能。

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