Extensions of Extremum-Seeking Control to Improve the Aerodynamic Performance of Axial Turbomachines

Stochastic Averaging and Stochastic Extremum Seeking

“…ES has also been used in many diverse applications with unknown/uncertain systems, such as steering vehicles toward a source in GPS-denied environments [28,30,146], active flow control [15,16,24,53,63,64], aeropropulsion [104,144], colling systems [82,84] wind energy [32], photovoltaics [81], human exercise machines [148], optimizing the control of nonisothermal valve actuator [113], controlling Tokamak plasmas [25], and enhancing mixing in magnetohydrodynamic channel flows [96], timing control of HCCI engine combustion [62], formation flight optimization [20], control of aircraft endurance based on atmospheric turbulence [69], beam matching adaptive control [123], optimizing bioreactors [141], control of combustion instability [9], control of nonisothermal continuous stirred reactors [49], control of swirl-stabilized spray combustion [105], optimal control of current profile in the DIII-D tokamak [110], laser pulse shaping [115], control of beam envelope in particle accelerators [122], control of an axial-flow compressor [142], and stabilization of neoclassical tearing modes in tokamak fusion plasmas [143].…”

Non-C2 Lie Bracket Averaging for Nonsmooth Extremum Seekers

“…Extremum seeking has been used in diverse applications with unknown/uncertain systems [14][15][16][17][18], such as steering vehicles toward a source in GPS-denied environments [19][20][21], active flow control [22,23], aeropropulsion [24], cooling systems [25,26], wind energy [27], photovoltaics [28,29], electromagnetic valve actuation [30], human exercise machines [31], controlling Tokamak plasmas [32], PID gain tuning [33], enhancing mixing in magnetohydrodynamic channel flows [34], beam matching [35], axial flow compression [36], and laser pulse shaping [37].…”