We have developed an adaptive inverse compensation scheme to
control the aerodynamic flow of six arrays of synthetic jet
actuators distributed on the airfoil symmetrically about the
longitudinal axis of a tailless aircraft. Each array of synthetic
jet flows result from a piezo-electric voltage driven vibrating
diaphragm. Nonlinear parametrized models of synthetic jet actuators
whose parameters are chosen from a baseline model are presented.
Adaptive inverse arrays are employed for cancelling the effect of
the nonlinearities of the synthetic jets. An expression for control
error is derived such that adaptive laws can be formulated.
A state feedback control law is used for controlling linear aircraft
dynamics. Parameter projection based adaptive laws are used to
ensure desired closed-loop stability and asymptotic
tracking.
We are developing an adaptive compensation scheme for controlling the
aerodynamic flow of synthetic jet actuator arrays on a nonlinear
aircraft dynamic system. Adaptive inverse arrays are employed for cancelling
the effect of the nonlinearities of the jets. A nonlinear state
feedback control law is designed for controlling the aircraft
dynamics, wherein a set of intermediate states are used as control
signals for other states of the aircraft dynamic system, in addition
to the lift forces generated from synthetic jet actuators. A
meaningful allocation of desired control signals is also proposed.
We propose to develop effective algorithms for adaptive control of
multivariable nonlinear systems with actuator nonlinearities,
with applications to multivariable nonlinear aircraft dynamics
with synthetic jet actuators. Adaptive control of multivariable
nonlinear systems is still an open area for research.
An adaptive compensation of actuator failures for optimal
performance in the presence of unknown actuator failures, has been
identified as an important aspect of synthetic jet control, for
future investigation.