TY - JOUR
T1 - A computational algorithm for spacecraft control and momentum management
AU - Dzielski, John
AU - Bergmann, Edward
AU - Paradiso, Joseph
PY - 1990
Y1 - 1990
N2 - 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.
AB - 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.
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U2 - 10.23919/acc.1990.4790955
DO - 10.23919/acc.1990.4790955
M3 - Conference article
AN - SCOPUS:0025532430
SN - 0743-1619
SP - 1320
EP - 1325
JO - Proceedings of the American Control Conference
JF - Proceedings of the American Control Conference
T2 - Proceedings of the 1990 American Control Conference
Y2 - 23 May 1990 through 25 May 1990
ER -