四川兵工学报
四川兵工學報
사천병공학보
SICHUAN ORDNANCE JOURNAL
2014年
2期
127-130
,共4页
遗传算法%Nelder-Mead单纯形法%鲁棒稳定性评估
遺傳算法%Nelder-Mead單純形法%魯棒穩定性評估
유전산법%Nelder-Mead단순형법%로봉은정성평고
genetic algorithm%Nelder-Mead simplex method%robust stability evaluation
在对参数不确定性导弹控制系统进行多通道鲁棒稳定性评估时,传统方法在计算效率及结果可靠性方面存在不足。提出一种遗传-Nelder-Mead单纯形混合优化算法,利用遗传算法的全局搜索能力,寻找目标函数的近似最优解,并将其作为Nelder-Mead单纯形法搜索的初值,利用Nelder-Mead单纯形法局部寻优的优势,在近似解的邻域内搜索精确解。通过测试函数验证,算法在计算效率和计算精度方面都有很大提升。最后讨论了算法在导弹控制系统鲁棒稳定性评估中的应用价值。
在對參數不確定性導彈控製繫統進行多通道魯棒穩定性評估時,傳統方法在計算效率及結果可靠性方麵存在不足。提齣一種遺傳-Nelder-Mead單純形混閤優化算法,利用遺傳算法的全跼搜索能力,尋找目標函數的近似最優解,併將其作為Nelder-Mead單純形法搜索的初值,利用Nelder-Mead單純形法跼部尋優的優勢,在近似解的鄰域內搜索精確解。通過測試函數驗證,算法在計算效率和計算精度方麵都有很大提升。最後討論瞭算法在導彈控製繫統魯棒穩定性評估中的應用價值。
재대삼수불학정성도탄공제계통진행다통도로봉은정성평고시,전통방법재계산효솔급결과가고성방면존재불족。제출일충유전-Nelder-Mead단순형혼합우화산법,이용유전산법적전국수색능력,심조목표함수적근사최우해,병장기작위Nelder-Mead단순형법수색적초치,이용Nelder-Mead단순형법국부심우적우세,재근사해적린역내수색정학해。통과측시함수험증,산법재계산효솔화계산정도방면도유흔대제승。최후토론료산법재도탄공제계통로봉은정성평고중적응용개치。
When evaluating multi-channel robust stability of missile control system with parameters uncer-tainty,the traditional method has disadvantage in computational efficiency and reliability of results. There-fore,a Genetic-Nelder-Mead simplex hybrid optimization algorithm is presented in this paper. Using the global search ability of genetic algorithm to find the approximate optimal solution of the objective function, then we use it as the initial value of Nelder-Mead simplex method ,which has merit in local optimization, to search exact solution in the adjacent domain of approximate solution. It’s validated by test functions that the algorithm is improved in computational efficiency and precision of calculation. Finally application of the algorithm in missile control system robust stability evaluation is discussed.