Extremum Seeking Based on Atmospheric Turbulence for Aircraft Endurance
Extremum Seeking Based on Atmospheric Turbulence for Aircraft Endurance
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DOI：
10.2514/1.53825
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发表时间：
2011-11
影响因子：
2.6
通讯作者：
James P. Krieger;M. Krstić
中科院分区：
文献类型：
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作者：
James P. Krieger;M. Krstić
DOI：10.2514/1.53825 传统的极值搜索依赖于向控制输入添加扰动，但连续扰动控制器中的油门以最小化燃料消耗是站不住脚的。受最近极值搜索在聚变反应堆中的应用的启发，其中在搜索过程中采用了内部非周期扰动，提出了一种新的极值搜索变体，它使用自然发生的随机扰动来代替传统添加的扰动信号。该方案依靠大气湍流的空速扰动来揭示阻力曲线的局部斜率，从而诱导梯度下降到最小阻力速度。利用随机平均，分析证明了极值搜索控制器将空速稳定到最小阻力速度，且平均偏移量与阻力曲线的三阶导数和空速方差成正比。简短的仿真结果说明了算法的性能。
DOI: 10.2514/1.53825 Traditional extremum seeking depends on adding a perturbation to the control input, but it is untenable to continuously perturb the throttle in a controller meant to minimize fuel consumption. Inspired by a recent application of extremum seeking to a fusion reactor where internal nonperiodic perturbations were employed in the seeking process, a novel variant of extremum seeking is proposed that uses naturally occurring stochastic disturbances in lieu of the traditionally added perturbation signal. Relying on airspeed perturbations from atmospheric turbulence to reveal the local slope of the drag curve, the scheme induces a gradient descent to the minimum drag speed. Using stochastic averaging, it is proven analytically that the extremum-seeking controller stabilizesairspeedtotheminimumdragspeed,withanaverageoffsetproportionaltothethirdderivativeofthedrag curve and the variance of the airspeed. Brief simulation results illustrate the performance of the algorithm.