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On the robust control design for a class of nonlinear affine control systems: The invariant ellipsoid approach

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3 Author(s)
Gonzalez, O. ; Dept. de Control Automatico, CINVESTAV, Mexico City, Mexico ; Poznyak, A. ; Azhmyakov, V.

This paper is devoted to the problem of robust design for a class of continuous-time control systems with bounded uncertainties. We study a family of nonlinearly affine dynamical system and apply a modified invariant ellipsoid technique. This makes it possible to obtain practically stable closed-loop controllable models. The design of the stabilizing feedback control strategy is based on the conventional Lyapunov-like approach to invariant sets of dynamical systems. We propose a computational scheme for a constructive treatment a feedback control law such that the region of the practical stability of the resulting system is minimized. The corresponding solution procedure contains an auxiliary LMI-constrained optimization problem. The effectiveness of the elaborated invariant ellipsoid based method is illustrated by a numerical example.

Published in:

Electrical Engineering, Computing Science and Automatic Control,CCE,2009 6th International Conference on

Date of Conference:

10-13 Jan. 2009