Abstract
In this chapter, a fractional order PIλDμ controller is designed by considering various contradictory objective functions for an Automatic Voltage Regulator (AVR) system. An improved version of the evolutionary Non-dominated Sorting Genetic Algorithm II (NSGA-II) is used for this multi-objective optimization problem. The random number generators in the stochastic algorithm are replaced by a discrete time chaotic map for greater effectiveness. The Pareto optimal fronts, showing the trade-offs between different design objectives are obtained for the PIλDμ controller to illustrate the available choices to the designer. The robustness of the obtained solutions is tested to see if they give good performance at other operating conditions as well.
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Pan, I., Das, S. (2013). Multi-objective Fractional Order Controller Design with Evolutionary Algorithms. In: Intelligent Fractional Order Systems and Control. Studies in Computational Intelligence, vol 438. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-642-31549-7_5
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DOI: https://doi.org/10.1007/978-3-642-31549-7_5
Publisher Name: Springer, Berlin, Heidelberg
Print ISBN: 978-3-642-31548-0
Online ISBN: 978-3-642-31549-7
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