I. Yaesh et U. Shaked, FINITE-HORIZON STATIC OUTPUT H-INFINITY CONTROL WITH AUTOMATIC BEAM GUIDANCE APPLICATION, Journal of guidance, control, and dynamics, 20(3), 1997, pp. 549-556
The problem of designing static output-feedback controllers for finite
time horizon is considered. The design problem is solved in two setti
ngs: one is the pure H-infinity setting where the disturbance attenuat
ion problem is solved, and the other is a mixed H-2/H-infinity setting
where an upper bound on the L-2 norm of the error is minimized as wel
l. In the pure H-infinity setting, a single Riccati-like equation shou
ld be solved, where the required projection matrix is obtained up to a
free parameter. In the other setting, a two-point boundary-value prob
lem has to be solved. The theory of the mixed H-2/H-infinity setting i
s illustrated by a design of an automatic lateral beam guidance contro
ller.