Guaranteed performance control of nonlinear systems with application to flexible space structure

This paper considers the problem of controlling nonlinear uncertain systems arising from flexible aerospace structures. We begin by addressing the tracking problem for a class of nonlinear dynamic systems with modeling uncertainties and external disturbances. New control algorithms that accommodate modeling uncertainties are proposed. It is shown that these algorithms not only guarantee system stability but also achieve certain bounded performance index and are readily applicable in vibration suppression of large flexible space structures. Numerical verification of the proposed strategy is demonstrated via the lumped mass model of a hypersonic aerospace flight vehicle structure. © 1995 American Institute of Aeronautics and Astronautics, Inc., All rights reserved.