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Using the method of invariant ellipsoids for linear robust output stabilization of spacecraft. (English. Russian original) Zbl 1229.93138
Autom. Remote Control 72, No. 3, 540-555 (2011); translation from Avtom. Telemekh. 2011, No. 3, 81-97 (2011).
Summary: Consideration is given to the problem of robust output stabilization of the nonlinear system using the method of invariant ellipsoids assuming that the system satisfies a Lipschitz-like condition and the system output is subjected to bounded external disturbances. It is reduced to a special optimization problem with solution based on the theory of linear matrix inequalities. The proposed approach is 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.

93D21 Adaptive or robust stabilization
93C10 Nonlinear systems in control theory
93B51 Design techniques (robust design, computer-aided design, etc.)
93C15 Control/observation systems governed by ordinary differential equations
Full Text: DOI
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