A computational algorithm for spacecraft control and momentum management

John Dzielski, Edward Bergmann, Joseph Paradiso

Research output: Contribution to journalConference articlepeer-review

1 Scopus citations

Abstract

Developments in the area of nonlinear control theory have shown how coordinate changes in the state and input spaces of a dynamical system can be used to transform certain nonlinear differential equations into equivalent linear equations. These techniques are applied to the control of a spacecraft equipped with momentum exchange devices. An optimal control problem is formulated that incorporates a nonlinear spacecraft model. An algorithm is developed for solving the optimization problem using feedback linearization to transform to an equivalent problem involving a linear dynamical constraint and a functional approximation technique to solve for the linear dynamics in terms of the control. The original problem is transformed into an unconstrained nonlinear quadratic program that yields an approximate solution to the original problem. Two examples are presented to illustrate the results.

Original languageEnglish
Pages (from-to)1320-1325
Number of pages6
JournalProceedings of the American Control Conference
DOIs
StatePublished - 1990
EventProceedings of the 1990 American Control Conference - San Diego, CA, USA
Duration: 23 May 199025 May 1990

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