Using the method of invariant ellipsoids for linear robust output stabilization of spacecraft

Authors:
S. Gonzalez-Garcia;A. E. Polyakov;A. S. Poznyak
Affiliations:
The Research and Advanced Studies Center of the National Polytechnic Institute (CINVESTAV), Mexico City, Mexico;Trapeznikov Institute of Control Sciences, Russian Academy of Sciences, Moscow, Russia;The Research and Advanced Studies Center of the National Polytechnic Institute (CINVESTAV), Mexico City, Mexico
Venue:
Automation and Remote Control
Year:
2011

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Abstract

Consideration was given to the problem of robust output stabilization of the nonlinear system using the method of invariant ellipsoids on assumption that the system satisfies a Lipschitz-like condition and the system output is subjected to bounded external disturbances. It was reduced to a special optimization problem with solution based on the theory of linear matrix inequalities. The proposed approach was illustrated by an example of stabilization of a spacecraft with elastic dynamic elements. The designed control represents a combination of the "accelerate-decelerate" algorithm and a linear feedback obtained using the method of invariant ellipsoids.