Nonconvex integer optimal robust impulsive control strategy for first-order piecewise finite precision nonlinear random early detection algorithm
There are two main contributions of this paper. First, this paper proposes a first-order piecewise finite precision nonlinear dynamical model for characterizing the average queue size of the random early detection (RED) algorithm. Second, this paper proposes a nonconvex integer optimal robust impuls...
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Published in | ISA transactions Vol. 51; no. 3; pp. 439 - 445 |
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Main Authors | , , , |
Format | Journal Article |
Language | English |
Published |
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Elsevier Ltd
01.05.2012
Elsevier |
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Online Access | Get full text |
ISSN | 0019-0578 1879-2022 1879-2022 |
DOI | 10.1016/j.isatra.2011.11.007 |
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Abstract | There are two main contributions of this paper. First, this paper proposes a first-order piecewise finite precision nonlinear dynamical model for characterizing the average queue size of the random early detection (RED) algorithm. Second, this paper proposes a nonconvex integer optimal robust impulsive control strategy for stabilizing the average queue size. The objective of the control strategy is to determine the average queue size so that the average power of the impulsive control force is minimized subject to a constraint on the absolute difference between the actual average queue size and the theoretical average queue size at the equilibrium point. Computer numerical simulation results show that the proposed control strategy is effective and efficient for stabilizing the average queue size.
► We investigate random early detection (RED) algorithm for Internet traffic control. ► We develop a nonconvex integer optimal robust impulsive control strategy for chaotic systems. ► We develop a first-order piecewise finite precision nonlinear dynamical model for the RED algorithm. |
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AbstractList | There are two main contributions of this paper. First, this paper proposes a first-order piecewise finite precision nonlinear dynamical model for characterizing the average queue size of the random early detection (RED) algorithm. Second, this paper proposes a nonconvex integer optimal robust impulsive control strategy for stabilizing the average queue size. The objective of the control strategy is to determine the average queue size so that the average power of the impulsive control force is minimized subject to a constraint on the absolute difference between the actual average queue size and the theoretical average queue size at the equilibrium point. Computer numerical simulation results show that the proposed control strategy is effective and efficient for stabilizing the average queue size. There are two main contributions of this paper. First, this paper proposes a first-order piecewise finite precision nonlinear dynamical model for characterizing the average queue size of the random early detection (RED) algorithm. Second, this paper proposes a nonconvex integer optimal robust impulsive control strategy for stabilizing the average queue size. The objective of the control strategy is to determine the average queue size so that the average power of the impulsive control force is minimized subject to a constraint on the absolute difference between the actual average queue size and the theoretical average queue size at the equilibrium point. Computer numerical simulation results show that the proposed control strategy is effective and efficient for stabilizing the average queue size. ► We investigate random early detection (RED) algorithm for Internet traffic control. ► We develop a nonconvex integer optimal robust impulsive control strategy for chaotic systems. ► We develop a first-order piecewise finite precision nonlinear dynamical model for the RED algorithm. There are two main contributions of this paper. First, this paper proposes a first-order piecewise finite precision nonlinear dynamical model for characterizing the average queue size of the random early detection (RED) algorithm. Second, this paper proposes a nonconvex integer optimal robust impulsive control strategy for stabilizing the average queue size. The objective of the control strategy is to determine the average queue size so that the average power of the impulsive control force is minimized subject to a constraint on the absolute difference between the actual average queue size and the theoretical average queue size at the equilibrium point. Computer numerical simulation results show that the proposed control strategy is effective and efficient for stabilizing the average queue size.There are two main contributions of this paper. First, this paper proposes a first-order piecewise finite precision nonlinear dynamical model for characterizing the average queue size of the random early detection (RED) algorithm. Second, this paper proposes a nonconvex integer optimal robust impulsive control strategy for stabilizing the average queue size. The objective of the control strategy is to determine the average queue size so that the average power of the impulsive control force is minimized subject to a constraint on the absolute difference between the actual average queue size and the theoretical average queue size at the equilibrium point. Computer numerical simulation results show that the proposed control strategy is effective and efficient for stabilizing the average queue size. |
Author | Wing-Kuen Ling, Bingo Yuk-Fan Ho, Charlotte Fernando, Tyrone L. Iu, Herbert H.C. |
Author_xml | – sequence: 1 givenname: Charlotte surname: Yuk-Fan Ho fullname: Yuk-Fan Ho, Charlotte email: c.ho@qmul.ac.uk organization: School of Mathematical Sciences, Queen Mary, University of London, Mile End Road, London E1 4NS, United Kingdom – sequence: 2 givenname: Bingo surname: Wing-Kuen Ling fullname: Wing-Kuen Ling, Bingo email: wling@lincoln.ac.uk, wling@post01.lincoln.ac.uk organization: School of Engineering, University of Lincoln, Lincoln LN6 7TS, United Kingdom – sequence: 3 givenname: Herbert H.C. surname: Iu fullname: Iu, Herbert H.C. email: herbert@ee.uwa.edu.au organization: School of Electrical, Electronic and Computer Engineering, The University of Western Australia, 35 Stirling Highway, Crawley, Perth, Western Australia, WA6009, Australia – sequence: 4 givenname: Tyrone L. surname: Fernando fullname: Fernando, Tyrone L. email: tyrone@ee.uwa.edu.au organization: School of Electrical, Electronic and Computer Engineering, The University of Western Australia, 35 Stirling Highway, Crawley, Perth, Western Australia, WA6009, Australia |
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Cites_doi | 10.1109/TNET.2004.838600 10.1142/S0218127408021816 |
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Keywords | First-order piecewise finite precision nonlinear dynamical model Nonconvex integer optimal robust impulsive control Random early detection algorithm Computer simulation Control synthesis Impulse control Equilibrium point Robust control Queue length Optimal strategy Power control Optimal control Traffic management Non linear model Force control Optimal control (mathematics) Random early detection protocol Non convex analysis |
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References | Yuk-Fan Ho, Wing-Kuen Ling, Reiss (br000035) 2005; 53 Liu, Guan, Wang (br000025) 2007 Chang, Kim, Wong, Samtani, Staikos, Patel, Bowcock (br000030) 2007 Nga, Iu, Ling, Lam (br000020) 2008; 18 Ranjan, Abed, La (br000005) 2004; 12 Chen, Wang, Han (br000015) 2003; 3 Ranjan, Eyad H., Abed Richard (br000010) 2002; 1 Liu (10.1016/j.isatra.2011.11.007_br000025) 2007 Yuk-Fan Ho (10.1016/j.isatra.2011.11.007_br000035) 2005; 53 Chen (10.1016/j.isatra.2011.11.007_br000015) 2003; 3 Nga (10.1016/j.isatra.2011.11.007_br000020) 2008; 18 Ranjan (10.1016/j.isatra.2011.11.007_br000005) 2004; 12 Ranjan (10.1016/j.isatra.2011.11.007_br000010) 2002; 1 Chang (10.1016/j.isatra.2011.11.007_br000030) 2007 |
References_xml | – start-page: 1 year: 2007 end-page: 7 ident: br000030 article-title: Network layer congestion control to ensure quality of service (QOS) in secure battlefield mobile ad hoc networks publication-title: The IEEE Military Communications Conference, MILCOM – volume: 53 start-page: 2224 year: 2005 end-page: 2233 ident: br000035 article-title: Fuzzy impulsive control of high-order interpolative low-pass sigma–delta modulators publication-title: IEEE Transactions on Circuits and Systems–I: Regular Papers – volume: 12 start-page: 1079 year: 2004 end-page: 1092 ident: br000005 article-title: Nonlinear instabilities in TCP-RED publication-title: IEEE Transactions on Networking – start-page: 224 year: 2007 end-page: 227 ident: br000025 article-title: Impulsive control bifurcation and chaos in internet TCP-RED congestion control system publication-title: The IEEE International Conference on Control and Automation, ICCA – volume: 1 start-page: 249 year: 2002 end-page: 258 ident: br000010 article-title: Nonlinear instabilities in TCP-RED publication-title: The Twenty-First Annual Joint Conference of the IEEE Computer and Communications Societies, IEEE INFOCOM – volume: 3 start-page: III132 year: 2003 end-page: III135 ident: br000015 article-title: Controlling bifurcation and chaos in internet congestion control model publication-title: International Symposium on Circuits and Systems, ISCAS – volume: 18 start-page: 2449 year: 2008 end-page: 2459 ident: br000020 article-title: Analysis and control of bifurcation and chaos in average queue length in TCP/RED model publication-title: International Journal of Bifurcation and Chaos – volume: 12 start-page: 1079 issue: 6 year: 2004 ident: 10.1016/j.isatra.2011.11.007_br000005 article-title: Nonlinear instabilities in TCP-RED publication-title: IEEE Transactions on Networking doi: 10.1109/TNET.2004.838600 – start-page: 224 year: 2007 ident: 10.1016/j.isatra.2011.11.007_br000025 article-title: Impulsive control bifurcation and chaos in internet TCP-RED congestion control system publication-title: The IEEE International Conference on Control and Automation, ICCA – start-page: 1 year: 2007 ident: 10.1016/j.isatra.2011.11.007_br000030 article-title: Network layer congestion control to ensure quality of service (QOS) in secure battlefield mobile ad hoc networks publication-title: The IEEE Military Communications Conference, MILCOM – volume: 53 start-page: 2224 issue: 10 year: 2005 ident: 10.1016/j.isatra.2011.11.007_br000035 article-title: Fuzzy impulsive control of high-order interpolative low-pass sigma–delta modulators publication-title: IEEE Transactions on Circuits and Systems–I: Regular Papers – volume: 3 start-page: III132 year: 2003 ident: 10.1016/j.isatra.2011.11.007_br000015 article-title: Controlling bifurcation and chaos in internet congestion control model publication-title: International Symposium on Circuits and Systems, ISCAS – volume: 18 start-page: 2449 issue: 8 year: 2008 ident: 10.1016/j.isatra.2011.11.007_br000020 article-title: Analysis and control of bifurcation and chaos in average queue length in TCP/RED model publication-title: International Journal of Bifurcation and Chaos doi: 10.1142/S0218127408021816 – volume: 1 start-page: 249 year: 2002 ident: 10.1016/j.isatra.2011.11.007_br000010 article-title: Nonlinear instabilities in TCP-RED publication-title: The Twenty-First Annual Joint Conference of the IEEE Computer and Communications Societies, IEEE INFOCOM |
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SubjectTerms | Adaptative systems Algorithms Applied sciences Computer science; control theory; systems Computer simulation Computer systems and distributed systems. User interface Control system synthesis Control theory. Systems Exact sciences and technology First-order piecewise finite precision nonlinear dynamical model Mathematical analysis Mathematical models Nonconvex integer optimal robust impulsive control Nonlinearity Optimal control Optimization Queues Random early detection algorithm Software Strategy |
Title | Nonconvex integer optimal robust impulsive control strategy for first-order piecewise finite precision nonlinear random early detection algorithm |
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