太原科技大学学报
太原科技大學學報
태원과기대학학보
JOURNAL OF TAIYUAN UNIVERSITY OF SCIENCE AND TECHNOLOGY
2014年
3期
202-206
,共5页
王强%赵志诚%桑博
王彊%趙誌誠%桑博
왕강%조지성%상박
分数阶系统辨识%分数阶微积分%分数阶系统%粒子群算法
分數階繫統辨識%分數階微積分%分數階繫統%粒子群算法
분수계계통변식%분수계미적분%분수계계통%입자군산법
frActionAl-order system identificAtion%frActionAl cAlculus%frActionAl-order system%pArticle swArm opti-mizAtion Algorithm
为获取精确的分数阶系统模型,本文利用惯性权值自适应律来改进基本粒子群算法,基于所改进的粒子群算法提出了一种分数阶系统辨识方法,并选取实际系统与辨识系统的输出误差平方和为目标函数,实现了分数阶模型参数和阶次的同时辨识,适用于成比例和不成比例分数阶系统辨识。仿真结果表明了算法的有效性,辨识结果精度较高。
為穫取精確的分數階繫統模型,本文利用慣性權值自適應律來改進基本粒子群算法,基于所改進的粒子群算法提齣瞭一種分數階繫統辨識方法,併選取實際繫統與辨識繫統的輸齣誤差平方和為目標函數,實現瞭分數階模型參數和階次的同時辨識,適用于成比例和不成比例分數階繫統辨識。倣真結果錶明瞭算法的有效性,辨識結果精度較高。
위획취정학적분수계계통모형,본문이용관성권치자괄응률래개진기본입자군산법,기우소개진적입자군산법제출료일충분수계계통변식방법,병선취실제계통여변식계통적수출오차평방화위목표함수,실현료분수계모형삼수화계차적동시변식,괄용우성비례화불성비례분수계계통변식。방진결과표명료산법적유효성,변식결과정도교고。
In order to obtAin the AccurAte model of frActionAl order system,the bAsic pArticle swArm optimizAtion Algo-rithm wAs improved by using the inertiA weight AdAptive lAw. A scheme of frActionAl order system identificAtion bAsed on the improved pArticle swArm optimizAtion wAs proposed in this pAper. The fitness function wAs the sum of deviA-tions of output of the ActuAl system And the identificAtion system. This method cAn identify both the model pArAmeter And the frActionAl order,And cAn be ApplicAble to the commensurAte rAte And non-commensurAte rAte frActionAl-order sys-tems. A number of numericAl simulAtions were illustrAted to vAlidAte the concept And hAd high AccurAcy of identificAtion.