科研之友
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摘要
Rational approximations for fractional order systems are discussed in this paper. A fix-pole method is derived whereby a fractional order system is efficiently approximated by a low order integer system via simple algebraic algorithms. An adjacent congruent triangle (ACT) criterion is presented to analyze our method and compare it with existing results in a unified framework. The proposed fix-pole method has a trade-off that sacrifices partly the fitting error in exchange for simple approximations of complicated fractional order systems. The quality of the fix-pole approximations can be improved to be acceptable in practical or numerical implementations by narrowing the fitting frequency band. Finally, numerical examples illustrate the effectiveness of our methods.
- 出版日期2017-4
- 单位长春工业大学
