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H2 static state feedback control of linear singular perturbation systems: A new approach

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2 Author(s)
Fakharian, A. ; Dept. of Electr. & Comput. Eng., Islamic Azad Univ., Qazvin, Iran ; Gustafsson, T.

In this paper a new approach for solving the H2 control problem using static state-feedback for LTI singular perturbation systems is proposed which achieves a minimum bound on the H2 performance level of closed-loop system. The proposed controller is given in terms of the solution of a set of matrix inequalities independent of singular parameter ε. These inequalities are not in the form of linear matrix inequalities (LMI). By introducing a new algorithm, these inequalities are solved through LMI formulation. To show the effectiveness of the proposed algorithm comparing to other standard time-scale decomposition methods, an illustrative example is also provided.

Published in:

Electrical and Computer Engineering (CCECE), 2011 24th Canadian Conference on

Date of Conference:

8-11 May 2011