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本文重点研究挠性空间结构的 H_∞辨识算法的构造及其收敛性问题。研究表明:(1)挠性体系统的 H_∞辨识算法是对系统模态截断和系数参数估计的综合;(2)挠性体系统 H_∞辨识算法的收敛性取决于系统的脉冲响应的一致指数稳定性和模型脉冲响应的一致指数稳定性;(3)挠性体系统 H_∞辨识算法不仅给出系统的低维模型,而且给出模型误差的 H_∞范数上界估计。因此该算法特别适合与 H_∞控制结合,进而形成挠性体系统的自适应鲁棒控制机制。
This paper focuses on the construction of H_∞ identification algorithm and its convergence problem in flexible space structure. The results show that: (1) H_∞ identification algorithm of the flexible body system is a synthesis of modal truncation and coefficient parameter estimation; (2) The convergence of the H_∞ identification algorithm of the flexible body system depends on the consistent impulse response of the system (3) The H_∞ identification algorithm of the flexible body system not only gives the low-dimensional model of the system, but also gives the upper bound of the H_∞ norm of the model error. Therefore, this algorithm is particularly suitable for combining with H_∞control to form an adaptive robust control mechanism of flexible body system.