Simplification of linear time-invariant systems by moment approximants †
暂无分享,去创建一个
Abstract Given a system S characterized by a transfer function, a practical method is developed for finding a system S∗ with proper rational transfer function of small denominator degree, such that the step response of S∗ is, in an appropriate sense, the baat approximant to the step response of S. The method is extended to multivariable systems. Various relations between moment and Pade approximants are derived.
[1] P. R. Graves-Morris,et al. Pade Approximants and their Applications , 1974 .
[2] F. P. Lees,et al. A survey of simple transfer-function derivations from high-order state-variable models , 1972 .
[3] C. F. Chen,et al. A novel approach to linear model simplification , 1968 .
[4] F. P. Lees,et al. The reduction of complex transfer function models to simple models using the method of moments , 1969 .
[5] A. Martin,et al. Transform calculus for electrical engineers , 1961 .