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首页> 外文期刊>Mechanical systems and signal processing >Interpolating model identification for SISO linear parameter-varying systems
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Interpolating model identification for SISO linear parameter-varying systems

机译：SISO线性参数变化系统的插值模型辨识

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摘要

This paper presents a new method to estimate linear parameter-varying (LPV) state-space models for single-input single-output systems whose dynamics depend on one or more time-varying parameters, called scheduling parameters. The method is based on the interpolation of linear time-invariant models that are identified for fixed operating conditions of the system, that is, for constant values of the scheduling parameters. The proposed method can account for multiple scheduling parameters and yields either a polynomial or an affine LPV model that is numerically well-conditioned and therefore suitable for LPV control synthesis. The underlying interpolation technique is formulated as a nonlinear least-squares optimization problem that can be solved efficiently by standard solvers. The new interpolation method is applied to an electromechanical system that depends on two scheduling parameters. The numerical results are compared to existing techniques in the literature, demonstrating the potential and advantages of the proposed method.
机译：本文提出了一种新的方法来估计其动力学取决于一个或多个时变参数（称为调度参数）的单输入单输出系统的线性参数变化（LPV）状态空间模型。该方法基于线性时不变模型的内插，该线性时不变模型针对系统的固定操作条件，即针对调度参数的恒定值而确定。所提出的方法可以考虑多个调度参数，并产生数值条件良好的多项式或仿射LPV模型，因此适用于LPV控制综合。基本的插值技术被公式化为非线性最小二乘优化问题，可以由标准求解器有效解决。新的插值方法应用于依赖两个调度参数的机电系统。将数值结果与文献中的现有技术进行比较，证明了该方法的潜力和优势。

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