New stabilisation schemes for discrete delay systems with uncertain non-linear perturbations

M. S. Mahmoud; Y. Xia

doi:10.1049/iet-cta.2009.0475

New stabilisation schemes for discrete delay systems with uncertain non-linear perturbations

M. S. Mahmoud, Y. Xia

School of Automation

King Fahd University of Petroleum and Minerals

Research output: Contribution to journal › Article › peer-review

1 Citation (Scopus)

Abstract

New _∞ controller design schemes are provided for a class of discrete-time systems with uncertain non-linear perturbations. The class includes both systems with time-varying delays and systems without delay. One design scheme is generated by state-feedback and the other scheme is based on proportional-summation-difference (PSD) feedback. An appropriate Lyapunov-Krasovskii functional (LKF) is constructed and a new parametrised characterisation is established in terms of feasibility-testing of linear matrix inequalities (LMIs). Numerical examples are given to illustrate the theoretical developments.

Original language	English
Pages (from-to)	2937-2946
Number of pages	10
Journal	IET Control Theory and Applications
Volume	4
Issue number	12
DOIs	https://doi.org/10.1049/iet-cta.2009.0475
Publication status	Published - Dec 2010

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Mahmoud, M. S., & Xia, Y. (2010). New stabilisation schemes for discrete delay systems with uncertain non-linear perturbations. IET Control Theory and Applications, 4(12), 2937-2946. https://doi.org/10.1049/iet-cta.2009.0475

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AB - New ∞ controller design schemes are provided for a class of discrete-time systems with uncertain non-linear perturbations. The class includes both systems with time-varying delays and systems without delay. One design scheme is generated by state-feedback and the other scheme is based on proportional-summation-difference (PSD) feedback. An appropriate Lyapunov-Krasovskii functional (LKF) is constructed and a new parametrised characterisation is established in terms of feasibility-testing of linear matrix inequalities (LMIs). Numerical examples are given to illustrate the theoretical developments.

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New stabilisation schemes for discrete delay systems with uncertain non-linear perturbations

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