Multivariable Methods for the Design, Identification, and Control of Large Space Structures. Volume 1. Estimator Eigenvalue Placement in Positive Real Design.

摘要

The objective of this contract was to develop mathematical algorithms for the integration of structural dynamics and controls with particular reference to the design of large space structures. A numerical technique is presented to place the eigenvalues of the estimator in a positive real control environment. The estimator is based on a reduced-order model of the full system. The technique involves posing the problem as a constrained optimization problem. Two formulations are presented for solving the optimization problem, which differ in their objective functions and in the way constraints are handled. Examples are given illustrating the pole placement for estimators based on arbitrary 2nd order model, and on 4th and 6th order models of the DRAPER I tetrahedral truss structure. Keywords: Nonlinear optimization method, Flexible spacecraft, Feedback controllers.