Pyragas Control for Coupled-Map-Lattice Simulating Wall Trubulence

Abstract

Numerical experiments were conducted to examine applicability of Pyragas' Delayed feedback (DFB) control theory for active control of the coupled map lattice (CML). CML is known as a simple model with the essential feature of spatiotemporal chaos. Assuming spatiotemporal chaos reprsents wall turbulence, DFB control theory was applied to examine possibility of active control of turbulence. Notable feature of this study is that DFB control units are distributed to each non-linear element of CML. Since each control unit works independently, the control algorithm is simple and applicability to a real system is promising. Simulation results show that the present method can stabilize the whole CML, even though only 20% of the lattice or the non-linear elements were controlled by DFB method.