Switched delay-dependent control policy for water-quality systems
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
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View affiliations
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Affiliations:
1: Systems Engineering Department, King Fahd University of Petroleum and Minerals, Dhahran, Saudi Arabia
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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.
Inspec keywords: delays; linear matrix inequalities; water pollution control; Lyapunov methods; asymptotic stability; time-varying systems; closed loop systems; linear systems; water quality; control system synthesis; discrete time systems
Other keywords:
Subjects: Algebra; Distributed parameter control systems; Time-varying control systems; Pollution control; Stability in control theory; Control system analysis and synthesis methods; Discrete control systems
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