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- W3132395917 abstract "Fractional calculus is a branch of mathematics that studies the use of the fractional operators. The evolution of computing allowed its application in many areas, including control theory. Fractional operators are known to well describe memory phenomena, a favorable characteristic for control. Another benefit is that fractional order of these operators adds more tunable parameters to the controller, allowing greater flexibility and the possibility of improving its performance. This chapter aims to verify the performance of an inverted cart-pendulum using a fractional-order LQR-based control along with the cross-entropy optimization method. Comparisons with the genetic algorithm are also delineated in order to evaluate the proposed approach. The strategy is to employ optimization methods to obtain optimal controller parameters that result in the best control performance, taking into account performance indexes related to the error, settling time, and control effort. A comparison is made with the integer-order controller to verify the improvement in the use of fractional control." @default.
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- W3132395917 date "2021-06-25" @default.
- W3132395917 modified "2023-09-26" @default.
- W3132395917 title "An Optimal Fractional LQR-Based Control Approach Applied to a Cart-Pendulum System" @default.
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- W3132395917 doi "https://doi.org/10.1007/978-3-030-81166-2_17" @default.
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