2020
DOI: 10.1177/0142331219891551
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The archived-based genetic programming for optimal design of linear/non-linear controllers

Abstract: Evaluation of control signal function is one of the critical subjects in the optimal control problems. The optimal control is usually obtained by optimizing a performance index that is a weighted combination of control effort and state trajectories in the quadratic form, typically known as quadratic performance index (QPI). For the simple case of linear time-invariant (LTI) systems, problems are commonly solved using the well-established governing Riccati equation; however, obtaining the analytical solutions f… Show more

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Cited by 6 publications
(2 citation statements)
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“…The choice of basic elements for the function set is driven by the main objective of these algorithms, which is to find a suitable mathematical expression that can solve the problem and provide an idea on how to deal with similar scenarios. Research in [ 46 ] is a good example for this trend, where authors are looking for the generation of optimal controllers for linear and non-linear plants. In this case, a variant of GP, known as archived-based GP, is used as an evolutionary strategy.…”
Section: State Of the Artmentioning
confidence: 99%
“…The choice of basic elements for the function set is driven by the main objective of these algorithms, which is to find a suitable mathematical expression that can solve the problem and provide an idea on how to deal with similar scenarios. Research in [ 46 ] is a good example for this trend, where authors are looking for the generation of optimal controllers for linear and non-linear plants. In this case, a variant of GP, known as archived-based GP, is used as an evolutionary strategy.…”
Section: State Of the Artmentioning
confidence: 99%
“…In evolutionary algorithms (EAs), genetic programming is defined as an extension to genetic algorithms (GAs) in which the structures undergoing adaptation are not strings but are hierarchical computer programs of dynamically varying shape and size. Recent research works that set the stage for current GP research topics and applications is various, and includes topology optimization of structures, 32,33 optimal modeling of complex systems, 34 controller design, 35 image processing, 36 object detection, 37 data mining, 38 control of robots, 39 and so on.…”
Section: Introductionmentioning
confidence: 99%