Linear genetic programming control for strongly nonlinear dynamics with frequency crosstalk
Abstract
We advance Machine Learning Control (MLC), a recently proposed modelfree control framework which explores and exploits strongly nonlinear dynamics in an unsupervised manner. The assumed plant has multiple actuators and sensors and its performance is measured by a cost functional. The control problem is to find a control logic which optimizes the given cost function. The corresponding regression problem for the control law is solved by employing linear genetic programming as an easy and simple regression solver in a highdimensional control search space. This search space comprises openloop actuation, sensorbased feedback and combinations thereof, thus generalizing former MLC studies. This methodology is denoted as linear genetic programming control (LGPC). Focus of this study is the frequency crosstalk between unforced unstable oscillation and the actuation at different frequencies. LGPC is first applied to the stabilization of a forced nonlinearly coupled threeoscillator model comprising open and closedloop frequency crosstalk mechanisms. LGPC performance is then demonstrated in a turbulence control experiment, achieving 22% drag reduction for a simplified car model. For both cases, LGPC identifies the best nonlinear control achieving the optimal performance by exploiting frequency crosstalk. Our control strategy is suited to complex control problems with multiple actuators and sensors featuring nonlinear actuation dynamics.
 Publication:

arXiv eprints
 Pub Date:
 April 2017
 arXiv:
 arXiv:1705.00367
 Bibcode:
 2017arXiv170500367L
 Keywords:

 Physics  Fluid Dynamics