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Trujillo, Mirsha M.; Hadjiloucas, Sillas; Becerra, Victor (2011)
Publisher: IOP Publishing
Languages: English
Types: Article
Subjects:
Controllers for feedback substitution schemes demonstrate a trade-off between noise power gain and normalized response time. Using as an example the design of a controller for a radiometric transduction process subjected to arbitrary noise power gain and robustness constraints, a Pareto-front of optimal controller solutions fulfilling a range of time-domain design objectives can be derived. In this work, we consider designs using a loop shaping design procedure (LSDP). The approach uses linear matrix inequalities to specify a range of objectives and a genetic algorithm (GA) to perform a multi-objective optimization for the controller weights (MOGA). A clonal selection algorithm is used to further provide a directed search of the GA towards the Pareto front. We demonstrate that with the proposed methodology, it is possible to design higher order controllers with superior performance in terms of response time, noise power gain and robustness.
  • The results below are discovered through our pilot algorithms. Let us know how we are doing!

    • J. F. Clare and D. R. White. Response time and noise power gain of electrical substitution radiometers with feedback control. Applied Optics. 28, 15, (1989) 3417 - 3428.
    • Duncan McFarlane and Keith Glover, “A Loop Shaping Procedure Using H∞ Synthesis”, IEEE Transactions on Automatic Control, 37 (1992) 759- 769 G. P. Liu, J. B. Yang and J. F. Whidborne, “Multiobjective Optimisation and Control”, Research Studies Press LTD., (2003).
    • C. M. Fonseca and P. J. Fleming, “Multiobjective optimal controller design with genetic algorithms”, In Proc. Control 94, Coventry, England, (1994), pp.745-749 J. F. Whidborne, I. Postlethwaite and D.-W. Gu, “Robust Controller Design Using H∞ LoopShaping and the Method of Inequalities”, IEEE Trans. Control Systems Technol., 2, (1994).
    • Andrew Chipperfield and Peter Fleming, “Multiobjective Gas Turbine Engine Controller Design Using Genetic Algorithms”, IEEE Trans. Industrial Electron., 43, (1996) 583-587.
    • N. V. Dakev, J. F. Whidborne and A. J. Chipperfield, “H∞ Design of an EMS Control System for a Maglev Vehicle Using Evolutionary Algorithms”, Genetic Algorithms in Engineering Systems: Innovations and Applications, IEE, 1995, pp. 226-231 K. S. Tang, K.F.Man and D.-W. Gu, “Structured Genetic Algorithm for Robust H∞ Control Systems Design”, IEEE Trans. Industrial Electron., 43, (1996) 575-582.
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  • Discovered through pilot similarity algorithms. Send us your feedback.

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