按段多重Chebyshev多项式系及其应用 Ⅱ.用于时变双线性系统分析和参数辨识

Piecewise Multiple Chebyshev Polynomials and Their Applications Ⅱ.System Analysis and Parameter Identification of Time-Varying Bilinear Systems

利用PMCP研究时变双线性系统状态分析和参数估计问题,获得了简单、快速、高精度的递推计算算法。数值例子表明,采用本文提供的算法进行系统的状态计算和参数估计,所得计算结果显著优于由一般正交多项式系所导出的算法。

PMCP are successfully applied in system analysis and parameter identifica-tion of time-varying bilinear systems, and simple, quickly-calculated, accurate and recursive algorithms are obtained via PMCP. The results of illustrative examples show that the algorithms proposed are much better than that derived via Shifted Chebyshev Polynomials.