简介:使用Chebyshev-Gauss(CG)伪谱法研究带动量轮和推力器的欠驱动航天器姿态最优控制问题.基于欧拉姿态角和动量矩定理导出两类航天器姿态运动模型,采用Clenshaw-Curtis积分近似得到性能指标函数中的积分项,应用重心拉格朗日插值逼近状态变量和控制变量,将连续最优控制问题离散为具有代数约束的非线性规划(NLP)问题,通过序列二次规划(SQP)算法求解.数值仿真结果表明,对两类欠驱动航天器的姿态机动最优控制均能达到设计控制要求,得到的姿态最优曲线与验证得到的曲线几乎完全重叠.
简介:Theattenuationfactororqualityfactor(Q-factororQ)hasbeenusedtomeasuretheenergyattenuationofseismicwavespropagatinginundergroundmedia.ManymethodsareusedtoestimatetheQ-factor.WeproposeamethodtocalculatetheQ-factorbasedontheprestackQ-factorinversionandthegeneralizedS-transform.TheproposedmethodspecifiesastandardprimarywaveletandcalculatesthecumulativeQ-factors;then,itfindstheinterlaminarQ-factorsusingtherelationbetweenQandoffset(QVO)andtheDixformula.TheproposedmethodisalternativetomethodsthatcalculateinterlaminarQ-factorsafterhorizonpicking.Becausethefrequencyspectrumofeachhorizoncanbeextractedcontinuouslyona2Dtime–frequencyspectrum,themethodiscalledthecontinuousspectralratioslope(CSRS)method.ComparedwiththeotherQ-inversionmethods,themethodoffersnearlyeffortlesscomputationsandstability,andhasmathematicalandphysicalsignificance.WeusenumericalmodelingtoverifythefeasibilityofthemethodandapplyittorealdatafromanoilfieldinAhdeb,Iraq.TheresultssuggestthattheresolutionandspatialstabilityoftheQ-profileareoptimalandcontainabundantinterlaminarinformationthatisextremelyhelpfulinmakinglithologyandfluidpredictions.
简介:针对无限域上一维热传导方程的解析解为反常积分形式,直接计算往往比较困难.首先采用Fourier变换给出问题解析解,其次结合解析解的形式和无限域上Gauss型数值积分法精度高的优点,将半无限域上的一维热传导方程问题利用Gauss-Laguerre数值积分计算数值解,对无限域上的一维热传导方程的解析解转化为半无限域上的形式后用Gauss-Laguerre数值积分计算.实验结果表明,本文给出的数值解方法具有很高的精度.