S. Gonzalez-Garcia, A. E. Polyakov, A. S. Poznyak, “Using the method of invariant ellipsoids for linear robust output stabilization of spacecraft”, Avtomat. i Telemekh., 2011, Issue 3,Pages <nobr>81

This article is cited in 17 papers

Robust and Adaptive Systems

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

S. Gonzalez-Garcia^a, A. E. Polyakov^b, A. S. Poznyak^a

^a The Research and Advanced Studies Center of the National Polytechnic Institute (CINVESTAV), Mexico City, Mexico
^b Trapeznikov Institute of Control Sciences, Russian Academy of Sciences, Moscow, Russia

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.

Presented by the member of Editorial Board: B. T. Polyak

Received: 24.09.2008