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2012 Sufficient Dilated LMI Conditions for H Static Output Feedback Robust Stabilization of Linear Continuous-Time Systems
Kamel Dabboussi, Jalel Zrida
J. Appl. Math. 2012: 1-13 (2012). DOI: 10.1155/2012/812920

Abstract

New sufficient dilated linear matrix inequality (LMI) conditions for the H static output feedback control problem of linear continuous-time systems with no uncertainty are proposed. The used technique easily and successfully extends to systems with polytopic uncertainties, by means of parameter-dependent Lyapunov functions (PDLFs). In order to reduce the conservatism existing in early standard LMI methods, auxiliary slack variables with even more relaxed structure are employed. It is shown that these slack variables provide additional flexibility to the solution. It is also shown, in this paper, that the proposed dilated LMI-based conditions always encompass the standard LMI-based ones. Numerical examples are given to illustrate the merits of the proposed method.

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Kamel Dabboussi. Jalel Zrida. "Sufficient Dilated LMI Conditions for H Static Output Feedback Robust Stabilization of Linear Continuous-Time Systems." J. Appl. Math. 2012 1 - 13, 2012. https://doi.org/10.1155/2012/812920

Information

Published: 2012
First available in Project Euclid: 14 December 2012

zbMATH: 1235.93085
MathSciNet: MR2898063
Digital Object Identifier: 10.1155/2012/812920

Rights: Copyright © 2012 Hindawi

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