Vi. Karlov et al., IDENTIFICATION OF MODEL PARAMETERS AND ASSOCIATED UNCERTAINTIES FOR ROBUST-CONTROL DESIGN, Journal of guidance, control, and dynamics, 17(3), 1994, pp. 495-504
The integration of system identification and robust control is conside
red. The identification algorithm is an extended Kalman filter, and th
e robust control algorithm is based on Petersen-Hollot's bounds (modif
ied for random correlated parameters). The identification and control
problems are coupled because the inputs for the identification experim
ent are selected to optimize the robust control performance. The optim
ization problem, interpreted as a form of Riccati equation control, is
solved by exploiting the analytical properties of the Riccati equatio
n in a nontraditional manner. The result appears an equivalent quadrat
ic-linear boundary-value-problem, which allows a convergent numerical
solution. An effective numerical algorithm is also offered for solving
the extended Kalman filter equations in high-dimensional modal test p
roblems. The algorithm is based on block decomposition of the modal st
ate-space model. The developed approach is applied to the Middeck Acti
ve Control Experiment (MACE) testbed. MACE is an MIT STS flight experi
ment scheduled for launch in 1994.