Switched delay-dependent control policy for water-quality systems

Author(s): M.S. Mahmoud
DOI: 10.1049/iet-cta.2008.0474

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Author(s): M.S. Mahmoud ¹
- Affiliations: 1: Systems Engineering Department, King Fahd University of Petroleum and Minerals, Dhahran, Saudi Arabia
Source: Volume 3, Issue 12, December 2009, p. 1599 – 1610
DOI: 10.1049/iet-cta.2008.0474 , Print ISSN 1751-8644, Online ISSN 1751-8652

A delay-dependent analysis and synthesis approach is established for a class of linear discrete-time switched systems with time-varying delays using switched Lyapunov–Krasovskii functionals (SLKFs). The problem of water-quality control is cast as the problem of delay-dependent ℒ₂ gain analysis and synthesis. New delay-dependent asymptotic stability criteria are developed under arbitrary switching based on appropriately constructed SLKFs. Delay-dependent switched control feedback is then designed, based on state- and output-measurements, to render the corresponding switched closed-loop system delay-dependent asymptotically stable with a prescribed ℒ₂ gain measure. The developed results are cast as linear matrix inequalities and tested by Matlab simulation on a representative water-quality example.

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Switched delay-dependent control policy for water-quality systems

Switched delay-dependent control policy for water-quality systems

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