Chaos and turbulence are often considered as troublesome features of plasma
devices. In the general framework of nonlinear dynamical systems, a number
of strategies have been developed to achieve active control over complex t
emporal or spatio-temporal behavior. Many of these techniques apply to plas
ma instabilities. In the present paper we discuss recent progress in chaos
control and taming of turbulence in three different plasma "model" experime
nts: (1) Chaotic oscillations in simple plasma diodes, (2) ionization wave
turbulence in the positive column of glow discharges, and (3) drift wave tu
rbulence in a magnetized plasma column. Depending on the physical mechanism
of the specific instability in each case, an appropriate control strategy
is chosen out of a variety of different approaches; in particular discrete
feedback, continuous feedback, or spatio-temporal open-loop synchronization
. Electric control fields are externally applied to the plasma device and t
he chaotic or turbulent state is stabilized by only weak perturbations of t
he plasma equilibrium. The success of this approach is demonstrated in both
experiment and numerical simulation and the actual effect of the applied c
ontrol fields is investigated. (C) 2001 American Institute of Physics.