Sp. Shue et al., MIXED H-2 H-INFINITY METHOD SUITABLE FOR GAIN SCHEDULED AIRCRAFT CONTROL/, Journal of guidance, control, and dynamics, 20(4), 1997, pp. 699-706
The formulations of mixed H-2/H-infinity gain scheduling control of ai
rcraft in longitudinal motion are developed, The coefficients of a lin
ear model of aircraft are estimated from the aircraft geometry. Based
on flight Mach number, gain scheduling is applied with the mixed H-2/H
-infinity. It is shown that the state equation of aircraft can be math
ematically simplified to the standard mixed H-2/H-infinity problem. Th
e advantage of decoupling the aircraft system based on phugoid (slow)
and short period (fast) modes is to allow the slow model with its dist
urbance to be controlled by the H-2 method, whereas the fast system wi
th the fast disturbance is to be stabilized by the H-infinity techniqu
e. A comparison of this method with the standard H-infinity control is
made using aircraft coefficients derived for a large commercial airpl
ane. It is shown that the current method will provide better performan
ce for the given aircraft while the condition on the disturbance atten
uation is also satisfied. The actual model controlled by the estimated
controller and by the real controller is also discussed, It is shown
that the estimated controller performs as well as the controller deriv
ed from the actual model.