Journal of Applied Mathematics

Sufficient Dilated LMI Conditions for H Static Output Feedback Robust Stabilization of Linear Continuous-Time Systems

Kamel Dabboussi and Jalel Zrida

Full-text: Open access

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.

Article information

Source
J. Appl. Math., Volume 2012 (2012), Article ID 812920, 13 pages.

Dates
First available in Project Euclid: 14 December 2012

Permanent link to this document
https://projecteuclid.org/euclid.jam/1355495070

Digital Object Identifier
doi:10.1155/2012/812920

Mathematical Reviews number (MathSciNet)
MR2898063

Zentralblatt MATH identifier
1235.93085

Citation

Dabboussi, Kamel; Zrida, Jalel. Sufficient Dilated LMI Conditions for ${H}_{\infty }$ Static Output Feedback Robust Stabilization of Linear Continuous-Time Systems. J. Appl. Math. 2012 (2012), Article ID 812920, 13 pages. doi:10.1155/2012/812920. https://projecteuclid.org/euclid.jam/1355495070


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